Find the area of a circle with radius, r = 60cm. Give your answer rounded to 3 SF.

Answers

Answer 1

The area of the circle will be equal to 11309.733 square centimetres.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

The area of the circle will be calculated by the following formula:-

Area = πr²

Area = π x ( 60 x 60 )

Area = 3.14 x 60 x 60

Area = 11309.733 square centimeters.

Therefore the area of the circle will be equal to 11309.733 square centimetres.

To know more about an area follow

https://brainly.com/question/25292087

#SPJ1


Related Questions

It takes 9 builders 54 days to complete a house.

How long would it take 6 builders to complete the same house?

Answers

Answer:

81 days

Step-by-step explanation:

Formula to solve this type of equation [tex]t=\frac{k}{p}[/tex]

t is time

k is a constant

p is people

We must substitute the values into the equation

[tex]54=\frac{k}{9}[/tex]

[tex]k=486[/tex]

Now we must substitute it to find the time

[tex]t=\frac{486}{6}[/tex]

you get 81

It would take [tex]6[/tex] builders  [tex]36[/tex] days to complete the same house.

Who are builders?

Builders are those person whose job is to build or repair houses and other buildings.

We have,

[tex]9[/tex] builders take [tex]54[/tex] days to complete a house.

So,

[tex]1[/tex]  builder will take  [tex](\frac{54}{9})[/tex]  days to complete a house,

In the same way,

[tex]6[/tex]  builder will take  [tex](\frac{54}{9}*6)[/tex]  days to complete a house,

i.e.

[tex]6[/tex]  builder   [tex]=(\frac{54}{9}*6)= 36[/tex] days.

Hence, we can say that it would take [tex]6[/tex] builders  [tex]36[/tex] days to complete the same house.

To know more about  builders and work click here

https://brainly.com/question/16924313

#SPJ2

The formula for calculating percentage marckup is :

A. sticker price - invoice price/invoice price • 100 = percent markup

B. sticker price - invoice price/invoice price • 100 = markup

C. Invoice price - sticker price/sticker price • 100 = percent markup

D. Invoice price - sticker price/invoice price • 100 = percent markup

Answers

The formula for calculating the mark up percentage is as follows:

sticker price - invoice price/invoice price • 100 = percent mark up

How to find the percentage mark up?

Percentage mark up can be described as follows:

percentage mark up = selling price per unit - cost price per unit / cost price per unit × 100

Therefore,

Mark up is the difference between a product's selling price and cost as a percentage of the cost.

Therefore, the formula for calculating the mark up percentage is as follows:

sticker price - invoice price/invoice price • 100 = percent mark up

learn more on percentage mark up here: https://brainly.com/question/16959984

#SPJ1

how do you get 14 divided by 9 as a decimal

Answers

Answer:

14 divided by 9 = 1.5

The result of 14/9 is a non-terminating, repeating decimal.

Answer:

1.56 [?]

this question's wording was slightly confusing but I think this is what you meant

Step-by-step explanation:

by dividing the two numbers, (you can use long division or a calculator) while they are not in a fraction state (don't rewrite it as [tex]\frac{14}{9}[/tex], actually divide

14 by 9) you will end up with a number:

1.55555556

(repeating decimal)

So, you can either write this as 1.5 with a little dash over the 5

Or, you can round the decimal to 1.56 .

(method: by actual division)

Two complementary angles are in the ratio 5 to 7 find the angles

Answers

Answer:

37.5°, 52.5°

Step-by-step explanation:

Let the two angles be 5x and 7x

Total ratio= 5+7 =12

5x = (5/12) ×90° ( sum of complementary angles = 90°)

= (5/2)×15°

75/2= 37.5°

Similarly

7x = (7/2)×15°

=105/2= 52.5°

Verification

37.5°+52.5°=90° (sum of complementary angles= 90°)

PLEASE HELP!!!!!!!!!!! I'll NAME BRAINLIEST!!!!!!!!!!!!!! A triangle has a base length of 3ac2 and a height 5 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 5.

Answers

Answer:

the Area = 100in^2

Step-by-step explanation:

pls mark brainiest

Area of triangle is 10 square cm.

What is area of triangle?

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane. The basic formula for the area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Given

Base = 4

Height = 5

Area of triangle = [tex]\frac{1}{2}[/tex] × b × h

=  [tex]\frac{1}{2}[/tex] × 4 × 5

= 2 × 5

= 10

Hence, area of triangle is 10 square cm.

Learn more about area of triangle here

https://brainly.com/question/19305981

#SPJ2


The sum of a number and 64 is no more than 36.

Answers

i believe the answer is 64+(-28)

[tex]\text{Let the number be x,}\\\\~~~~~~~~x+64\leq 36\\\\\implies x \leq 36 - 64\\\\\implies x \leq -28[/tex]

Write 83.07718 correct to two decimal places

Answers

Answer:

83.08

Step-by-step explanation:

this means that they want only two numbers after the decimal point

if the number is up to five round it up and call it one the add it to the number before it

hope it helps

83.08 is the correct notation of 83.07718 to two decimal places.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

To write a number correctly to two decimal places, you need to look at the third decimal place digit.

If this digit is 5 or greater than 5, you will need to round up the second decimal place digit by adding 1 to it.

If this digit is less than 5, you simply leave the second decimal place digit as it is.

In the case of 83.07718, the third decimal place digit is 7, which is greater than 5. Therefore, we need to round up the second decimal place digit (7) by adding 1 to it, resulting in 83.08. This is the number written correctly in two decimal places.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

#SPJ2

Which of the following is equal to 5 1/3?

Answers

The answer is 10 2/6 i think
10 2/6 is the correct answer

Agnes who loves adventure tries to jump towards Gru who is sitting motionless on a raft with negligible mass. He tries to catch the 30 kg Agnes who is running 1.2 m/s towards him. As he caught Agnes, the motionless raft started to move. How heavy is Gru if the raft started to move with a speed of 0.5 m/s? (Note: Include correct units and sign. Ex. "20 kg*m/s" , "20 N*s" , "20 kg")

Answers

By conservation of momentum, we will see that the mass of Gru is 32 kilograms.

How heavy is Gru?

Here we need to use the conservation of momentum.

Initially, Gru is stop, and Agnes with a mass of 30kg has a velocity of 1.2 m/s, so the total initial momentum is:

P = 30kg*1.2m/s = 36 kg*m/s.

At the end, the total mass is M, the mass of Gru, plus the mass of Agnes:

(M + 30kg).

And the final speed is 0.5 m/s, then the final momentum is:

P' = (M + 30kg)*0.5m/s

And the final momentum must be equal to the initial momentum:

36 kg*m/s =  (M + 30kg)*0.5m/s

Now we can solve that for M:

( 36 kg*m/s)/(0.5 m/s) = M + 30kg

72kg = M + 30kg

72kg - 30kg = 32 kg = M

The mass of Gru is 32 kilograms.

If you want to learn more about momentum:

https://brainly.com/question/7538238

#SPJ1

A manufacturer of kitchen utensils and gadgets is considering changing the design of their salt and pepper shakers. Their current design is a standard cylinder, while the new design they are considering is an oblique cylinder. The figure shows both designs.

please help

Answers

The height and the base area of both the design must be equal. Then the correct option is A.

What is a cylinder?

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A manufacturer of kitchen utensils and gadgets is considering changing the design of their salt and pepper shakers.

Their current design is a standard cylinder, while the new design they are considering is an oblique cylinder.

The figure shows both designs.

The volume of the cylinder will be given as

V = πr² h

If the volume of the oblique cylinder and right cylinder is the same.

Then the height of both the designs must be equal and the base area of both the design must be equal.

Then the correct option is A.

More about the cylinder link is given below.

https://brainly.com/question/3692256

#SPJ1

Answer:

D

Step-by-step explanation:

did the test on edmentum

solve
16x+8>=12x+20
A. x<=3
B. x<=7
C. x>=3
D. x>=7

Answers

Answer: C

Step-by-step explanation:

[tex]16x+8 \geq 12x+20\\ \\ 4x+8 \geq 20\\ \\ 4x \geq 12\\ \\ \boxed{x \geq 3}[/tex]

which graph represents the linear function y=-5x+2?

Answers

Answer:

The second picture is the correct answer the graph must be decreasing..

Step-by-step explanation:

The second picture is the correct answer the graph must be decreasing..

Is the integer below prime or composite?
26

Answers

composite xx it's not prime

Which expression is equivalent to -1/2 (1/4 x - 3/8). SHOW WORK

A. -1/8x + 3/16
B. -1/8 x + 3/8
C. 1/8x - 3/16
D. 1/8x - 3/8

Answers

Answer:

A. -1/8 x + 3/16

Step-by-step explanation:

Distribute -1/2 over the parentheses

-1/2 ( 1/4 x - 3/8 )

-1/2 (1/4 x) - 1/2 (-3/8 )

multiply fractions to simplify

-1/8 x + 3/16

A is correct

State your conclusion in the form of a theorem, and then prove the theorem using a two-column proof. When you write the proof, refer to the diagram you created in part A. It will be helpful to use point labels to state what is given and what you have to prove and to use those labels throughout the proof.

As part of the proof, you’ll have to construct a line segment connecting the top intersection point on one of the transversals with the lowest intersection point of the other transversal, thus forming two triangles. Take a screenshot of the construction, save it, and insert the image in the space below before you begin your written proof.

Answers

The midpoint theorem simply states that the line segment that joins the two sides of the triangle is parallel to the third side.

How to illustrate the theorem?

Your information is incomplete. Therefore, an overview of the theorem will be given. It should be noted that the midpoint theorem states that the line drawn through the mid point of one side of the triangle is parallel to another side.

To find the midpoint, one can measure the distance between the two end points and divide the results by 2.

Learn more about theorem on:

https://brainly.com/question/343682

#SPJ1

Subtract (-2x4-4y3+4z3+6) - (-9x4-3y3+4z3+9)

Answers

Answer:

Step-by-step explanation:

-2x^4 - 4y^3 + 4z^3 + 6 + 9x^4 + 3y^3 - 4z^3 - 9

7x^4 - y^3 - 3

Answer:

28x-3y-3

Step-by-step explanation:

(-2x × 4 - 4v × 3 + 4z× 3 + 6) - (-9× × 4 - 3v× 3 + 4

Multiply the monomials

(-8×-4y×3+ 42×3+6)-(-9××4-3y×3+42×3+9

Multiply the monomials

(-8x-12y + 4z × 3 + 6) - (-9x× 4 - 3y × 3 + 4z × 3 + 9)

Multiply the monomials

(-8x - 12y + 12z +6) - (-9× × 4 - 3y × 3 + 4z × 3 + 9)

Multiply the monomials

(-8x-12y +12z +6) - (-36x -3y × 3+ 4z × 3 + 9)

Multiply the monomials

(-8x-12y + 12z + 6) - (-36x - 9y + 4z × 3 + 9)

8×-12y+122+6-(-36×-9y+122+9

Remove the parentheses for addition or

subtraction

-8x - 12y + 12z + 6 + 36x + 9y - 12z - 9

-8x - 12y + 12z + 6 + 36x + 9y - 12z - 9

Reorder and gather like terms

(-8x + 36x) + (-12y + 9y) + (12z - 12z) + (6 - 9) 3 steps

Collect coefficients of like terms

(-8+36) ××+ (-12 + 9) × y+ (12 - 12) × z+ (6 - 9)

Find the area of the shapes below. Make sure to label your answers with units.

Answers

Answer:

Step-by-step explanation:

Area of shapes a) Triangle

  base = b = 7  km

  altitude or height = h = 3.8 km

     [tex]\sf \boxed{\text{\bf Area of triangle =$\dfrac{1}{2}b*h$ }}[/tex]

                                    [tex]= \dfrac{1}{2}*7*3.8\\\\= 7 * 1.9\\\\= 13.3 \ km^2[/tex]

b) Rectangle:

     length = l = 8.2 cm

     width  = w = 7 cm

      [tex]\sf \boxed{\text{\bf Area of rectangle = l*w}}[/tex]

                                        = 8.2 * 7

                                        = 57.4 cm²

c) Parallelogram

            base = b = 9.1 km

           height = h = 5 km

[tex]\sf \boxed{\text{\bf Area of parallellogram =b*h}}[/tex]

                                          = 9.1 * 5

                                          = 45.5 km²

d) Trapezium

           Parallel sides a = 8.9 m  & b =  2.7 m

           height = h = 4.2 m

[tex]\sf \boxed{\text{\bf Area of trapezium =$\dfrac{(a +b)*h}{2}$}}[/tex]

                                   [tex]\sf =\dfrac{(8.9+2.7)*4.2}{2}\\\\=\dfrac{11.6*4.2}{2}\\\\= 5.8 * 4.2\\\\= 24.36 \ m^2[/tex]

Answer:  

1# 13.3 Km

2# 57.4 Km

3# 45.5 Km

4# 24.36 Km

A problem in a test given to small children asks them to match each of three pictures
of animals to the word identifying that animal. If a child assigns the three words at
random to the three pictures, find the probability distribution for Y , the number of
correct matches.

Answers

Answer:

3

Step-by-step explanation:

because there are only three pictures

Question 1: 5 pts
Bill wants to plant roses in his triangular plot. There will be 1 plant at a corner. Each row will have 6
additional plants. He wants the plot to have as many lows as possible with 150 rose plants. How many
rows will Bill's plot have?
O 7 rows
O 8 rows
O 6 rows
O 5 rows

Answers

The arrangement of the rose plants on the triangular plot is such that they

form a series or progression that is defined.

The number of rows on Bill's plot is; 8 rows

The given parameters for the triangular plot are;

Number of plants at the corner = 1 plant

Number of additional plants per row = 6 plants

Number of rose plants = 150 rose plants

The number of rows in the plot.

The difference between successive rows, d = 6

The number rose at the top vertex, a = 1

Therefore, the rose in the garden forms an arithmetic progression

The first term, a = 1

The common difference, d = 6

The number of rows Bill's plot will have, n is given by the sum of n in terms of

an arithmetic progression, Sn, is given as follows;

[tex]S_n=\frac{n}{2}[2a+(n-1)\times d[/tex]

When Sn = 150, we get;

[tex]150=\frac{n}{2} [2\times 1+(n-1)\times 6[/tex]

150 = 3·n² - 2·n

3·n² - 2·n - 150 = 0

Taking only the positive solution for n, we have;

[tex]n_{1,\:2}=\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:3\left(-150\right)}}{2\cdot \:3}[/tex]

[tex]n_{1,\:2}=\frac{-\left(-2\right)\pm \:2\sqrt{451}}{2\cdot \:3}[/tex]

[tex]n=\frac{1+\sqrt{451}}{3},\:n=\frac{1-\sqrt{451}}{3}[/tex]

The number of rows Bill's plot has, n ≈ 7.3965

Given that the 7th row is completed, an 8th row will be present on Bill's plot

The number of rows Bill's plot will have = 8 rows

To learn more about the arithmetic progression visit:

https://brainly.com/question/6561461

#SPJ1

What is the product of 4/15 and 3/8?

Answers

Hi there.

[tex]= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = =[/tex]

What we should do here is multiply the fractions. We know this information because it says in our problem - "the product".

.

If ever we come across the word "the product of" in any mathematics problems, we should know that the operation we should use is "multiplication".

.

.

This is how we multiply fractions:

.

First, we check: Is there any way we can reduce the fractions?

.

.

We cannot divide the top and bottom of these two fractions by the same number, but there is some reducing that can be done:

.

.

Notice that 4 and 8 have a common factor - 2.

.

Since 4 and 8 have a 2 in common, we divide 8 and 4 by 2:

.

[tex]\bf{\displaystyle\frac{4}{15} *\frac{3}{8}}[/tex]

.

[tex]\bf{\displaystyle\frac{1}{15} *\frac{3}{2}}[/tex]

.

.

Now, 15 and 3 also have a common factor - 3:

.

[tex]\bf{\displaystyle\frac{1}{5} *\frac{1}{2}}[/tex]

.

.

What we should do now is multiply 1 by 1 and 5 times 2:

.

[tex]\bf{\displaystyle\frac{1}{10}}[/tex]

.

I hope that this helps clear your doubts; if any are left, please ask.

.

I wish you a nice rest of your day.

.

[tex]\bf{W}\sf{r}\bf{i}\sf{t}\bf{i}\bf{n}\sf{g}\:\bf{A\:\sf{L}\bf{e}\sf{t}\bf{t}\sf{e}\bf{r}.[/tex]

--

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What does \boxed{product} mean?}[/tex]
[tex]\bullet\large\text{ Product simply means multiplication/multiply}[/tex]


[tex]\huge\textbf{So, what are we doing in the equation?}[/tex]

[tex]\bullet\large\text{ We are multiplying! :)}[/tex]

[tex]\huge\textbf{What should our equation look like?}[/tex]

[tex]\rm{\dfrac{4}{15}\times\dfrac{3}{8}}[/tex]


[tex]\huge\textbf{What are the steps?}[/tex]

[tex]\mathsf{\dfrac{4}{15}\times\dfrac{3}{8}}[/tex]

[tex]\mathsf{= \dfrac{4\times 3}{15\times 8}}[/tex]

[tex]\mathsf{= \dfrac{12}{120}}[/tex]

[tex]\mathsf{= \dfrac{12\div2}{120\div2}}[/tex]

[tex]\mathsf{= \dfrac{6}{60}}[/tex]

[tex]\mathsf{= \dfrac{6\div3}{60\div3}}[/tex]

[tex]\mathsf{= \dfrac{2}{20}}[/tex]

[tex]\mathsf{= \dfrac{2\div2}{20\div2}}[/tex]

[tex]\mathsf{= \dfrac{1}{10}}[/tex]


[tex]\huge\textbf{What is your answer to the question?}[/tex]

[tex]\huge\boxed{\mathsf{\dfrac{1}{10}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

how to graph
f(x) = x² + 5x + 2

Answers

This is what I got, please tell me if it’s wrong or right, thank you!!

A circle has four sections. Only three sections are labeled. The labels are 29.78% 24.73% and 19.49%. What is the missing section should be?

Answers

Answer:

26

Step-by-step explanation:

You would add the 3 numbers and then minus that from 100

Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 14 cm.
(1) How many equilateral triangles are there? _____

(2) What is the measure of each of the three angles in the equilateral triangle? _____

(3) If we cut an equilateral triangle down the middle (segment a), what special right triangle do you create? _____

(4) What is the vocabulary word for the segment a? _____

(5) What is the length of the short side of one of the 30-60-90 triangles? _____

(6) What is the length of the hypotenuse of one of the 30-60-90 triangles? _____

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg of one of the 30-60-90 triangles. _____

(8) What is the height of one of the the equilateral triangles? _____

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _____

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _____

Answers

Find answers to the questions in the attached file.

Learn more about area of a regular hexagon: brainly.com/question/1601601

#SPJ1

E Homework: 3.1 Homework
Evaluate the following function at the values 2, -3, and x-2.
f(x) = x² +5
f(2)= (Type an integer or a simplified fraction.)

Answers

Answer:

Question 13 of 16 Evaluate the following function at the values 2, -4, and x-1. f(x)=x2-5 = ..... f(2)= (Type an integer or a simplified fraction.) f(-4)=L(Type an integer or a simplified fraction.) f(x-1)= (Simplify your answer. Type an expression using x as the variable. Use integers or fractions for any numbers in the expression.)

The graph shown below expresses a radical function that can be written in the form f(x) = a(x + k)^1/n + c. What does the graph tell you about the value of a in this function?

Answers

Answer:

Graphs can be used to represent functions

The value of a is less than 0.

The function is given as:

The parent function of f(x) is:

So, by comparison:

The function becomes:

Next, we identify the vertex (in this case, the vertex is the minimum point on the graph)

So, we have:

Substitute these values in

So, the function becomes

From the graph, we have the following point;

So, the function becomes

Subtract 2 from both sides

Square both sides

Divide both sides by -9

So, we have:

-1 is less than 0.

Hence, the value of a is less than 0.

Step-by-step explanation:

Answer:

The value of a in this function is 0

Step-by-step explanation:

The given function is

[tex]f(x) = a(x + k)^\frac{1}{n} + c.[/tex]

Here , f(x) is y = [tex]x^{\frac{1}{2} }[/tex] So , n = 2.

By substituting the value we get the function :

[tex]f(x) = a(x + k)^\frac{1}{2} + c.[/tex]

The vertex of the graphs are : (k, c) = (-5 ,2)

The function becomes:

[tex]f(x) = a(x + 5)^\frac{1}{2} + 2[/tex]

The following point on the graph shows : (x, y) = (-4 , 5)

The function becomes:

[tex]5 = a(-4+ 5)^\frac{1}{2} + 2\\5 = a(-9)^\frac{1}{2} + 2\\\\\3 = a(-9)^{\frac{1}{2} }(Subtract 2 from both side )\\\\9 = a (-9) ( Square both sides) \\\\-1 =a ( Divide both side by -9)\\[/tex]

a = -1

Here , -1 is less than zero

Hence , the value of a is less than o.

For more function related doubts visit:https://brainly.com/question/9834848

#SPJ1

rationalize the denominator of the fraction (6)/(4+\sqrt(5))

Answers

The rationalization the denominator of the fraction  (6)/(4+\sqrt(5)) is [tex]\dfrac{6(4-\sqrt(5))}{11}[/tex].

How to rationalize a fraction?

Suppose the given fraction is [tex]\dfrac{a}{b+c}[/tex]

Then the conjugate of the denominator is given by b - c

Thus, rationalizing the fraction will give us

[tex]\dfrac{a}{b+c} \times \dfrac{b-c}{b-c} = \dfrac{a(b-c)}{b^2 - c^2}[/tex]

The given expression is

[tex]\dfrac{6}{4+\sqrt(5)}\\\\[/tex]

By rationalizing the denominator of the fraction

[tex]\dfrac{6}{4+\sqrt(5)}\times \dfrac{4-\sqrt(5)}{4-\sqrt(5)} \\\\\\\dfrac{6(4-\sqrt(5))}{4^2-(5)}\\\\\\\dfrac{6(4-\sqrt(5))}{11}[/tex]

Thus, the rationalization the denominator of the fraction  (6)/(4+\sqrt(5)) is [tex]\dfrac{6(4-\sqrt(5))}{11}[/tex].

Learn more about rationalization here;

https://brainly.com/question/14261303

#SPJ1

PLS PLS PLS HELP!!!

The perimeter of a square is given as 6c - 4(c-5) Which expression give the length of one side of the square?

A 2c + 20
B 1/2c + 20
C 1/2c+5
D 8c+20

Are the two expressions, 6c-4(c-5) and the answer you chose to the
question above equivalent?
Explain why or why not in 1 to 2 sentences.

Answers

Answer:

( we know that square of perimeter is 4L now,4L=6c-4(c-5),4L=6c-4c+20,4L=2c+20,then L=(c+10)/2

The side of a given square is c/2+5. Therefore, option C is the correct answer.

What is the perimeter?

The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.

Given that, the perimeter of a square is 6c-4(c-5).

We know that, the perimeter of a square is 4a, where a is the side.

Now, 4a=6c-4(c-5)

4a=6c-4c+20

4a=2c+20

a=c/2+5

Therefore, option C is the correct answer.

To learn more about the perimeter visit:

https://brainly.com/question/6465134.

#SPJ2

I need help with this is 8th grade math

Answers

Answer:

5 hours

Step-by-step explanation:

Mark recieves 3mg per hour. This can be rewritten as y=3x. Cassie recieves 2x+5. To solve, use substitiution. 3x=2x+5. To solve, subtract "2x" from "3x." You then get x=5.

The answer: 5 hours


pls help me out with this question​

Answers

Height be h

[tex]\\ \rm\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan54=\dfrac{h}{60}[/tex]

[tex]\\ \rm\Rrightarrow h=60tan54[/tex]

[tex]\\ \rm\Rrightarrow h=82.6\approx 83m[/tex]

Answer:

83 m  (nearest metre)

Step-by-step explanation:

This can be modeled as a right triangle, where the base is 60 m and the height is the height of the building.

Alternate Interior Angles Theorem (Z-angles)

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.

Using the Alternate Interior Angles theorem, the angle between the ground and the dashed line (angle of elevation) is 54°.

Tan trigonometric ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Given:

[tex]\theta[/tex] = 54°O = height of building (h)A = 60

Substituting the given values into the formula and solving for h:

[tex]\implies \sf \tan(54^{\circ})=\dfrac{h}{60}[/tex]

[tex]\implies \sf h=60 \tan(54^{\circ})[/tex]

[tex]\implies \sf h=82.58291523...[/tex]

[tex]\implies \sf h=83\:\:m\:(nearest\:metre)[/tex]

5x+3
Write the fraction below as a sum or difference.
=?
4
(Simplify your answer. Use integers or fractions for any numbers in the
expression.)

Answers

To write this sum as a fraction, you can use the following formula: 5x/4 + 3/4.

How to transform a fraction into a sum?

To transform a fraction into a sum we must perform the following procedure:

[tex]\frac{5x + 3}{4}[/tex] = [tex]\frac{5x}{4} + \frac{3}{4}[/tex]

According to the above, all we have to do is divide the fraction using each digit of the numerator and put the same denominator.

Learn more about fractions in: https://brainly.com/question/10354322

#SPJ1

Other Questions
kelly recorded the amount of money she earned y for hours worked x in the table shown Select the correct answer.Consider the function given below.f(x)= |x-51 +2Which of the following statements about the y-values of the graph of the function is true?OA. The y-values are all less than or equal to 5.B.The y-values are all greater than or equal to 5.OC.The y-values are all less than or equal to 2.D.The y-values are all greater than or equal to 2. Mike buys a large goldfish for $22 and food for his new friendthat costs $3. He receives a birthday with $5 in the afternoon.Then Mike had $7. How much money did he start the day offwith URGENT HELP NEEDED!!! SPACERecord your observation statements from Space Academy.When the mass of the sun is larger, Earth moves around the sun at a faster (faster, slower) pace.When the mass of the sun is smaller, Earth moves around the sun at a slower (faster, slower) pace.When Earth is closer to the sun, its orbit becomes faster (faster, slower).When Earth is farther from the sun, its orbit becomes slower (faster, slower).For each trial, record the orbit number of each planet from the sun. Be sure to indicate the number of planets in the habitable zone after each trial. Create a different configuration of planets for each trial. An example has been supplied for you. Orbit NumberPlanet One Orbit NumberPlanet Two Orbit NumberPlanet Three Orbit NumberPlanet Four Number of planets in the habitable zone Number of planets left in successful orbitExample: sun's mass 1x 135612sun's mass 1xTrial One 1 5 2 3 1 1sun's mass 1xTrial Two 1 2 0 0 2 2sun's mass 2xTrial One 1 0 0 0 1 0sun's mass 2xTrial Two 1 3 2 0 4 0sun's mass 3xTrial One 1 2 0 0 2 0sun's mass 3xTrial Two 1 0 0 0 1 3Conclusion:Your conclusion will include a summary of the lab results and an interpretation of the results. Please answer all questions in complete sentences using your own words.Using two to three sentences, summarize what you investigated and observed in this lab. You completed three terra forming trials. Describe the how the sun's mass affects planets in a solar system. Use data you recorded to support your conclusions.In this simulation, the masses of the planets were all the same. Do you think if the masses of the planets were different, it would affect the results? Why or why not?How does this simulation demonstrate the law of universal gravitation?It is the year 2085, and the world population has grown at an alarming rate. As a space explorer, you have been sent on a terraforming mission into space. Your mission to search for a habitable planet for humans to colonize in addition to planet Earth. You found a planet you believe would be habitable, and now need to report back your findings. Describe the new planet, and why it would be perfect for maintaining human life. convert the following equation into standard form y=-5x/8 + 3 Which expression is equivalent to -6.50 -5.1 + 2.3c - 1.8? The decay of a living things allows chemical elements to be lost. please please help me I'll give whaever Jennifer starts a new investment account that grows exponentially. Her financial advisor tells herthe initial investment of $50,000 grows at a rate of about 15% annually.1. Determine a function, I(t), that determines Jennifers investment account balance after t years. For the exponential growth function, what are the a and b values? What do those values represent? (5 points for the explanation of a and b and 5 points for the function) Write a sentence that shows the right usage of semicolon. 12 to 30 Express as a fraction in the lowest terms? Find the value of k (k,3) and (2,3) is 5A: 5B: 6C: 7D: 8 BRAINLIEST!!!!Use triangle XYZ to answer the questions Use special right triangles to help find the length of segment XY. What is the exact base of triangle XYZ? What is the exact area of triangle XYZ? Leave your answer in RADICAL termsWhat is the area of triangle XYZ to the nearest tenth of a Square feet Match the following words with their definitions.1 . depressionmeasurement of distance in degrees north or south of the equator2 . steppea large, high plain3 . equatora narrow strip of land connecting other lands4 . plateauthe study of the earth5 . isthmusa low place6 . longitudemeasurement of distance in degrees east or west of the prime meridian7 . geographyimaginary line running around the center of the earth8 . latitudea vast, treeless plain I Will not apologies by maire fisher 1. How does the characterization of Bonita and her grandmother influence the storysmeaning? (10)2. Discuss the relationship between Bonita and her grandmother, and explain how this relationship differs from the one between Bonita and her parents. (10)3. What is the main conflict in the story? Write a paragraph in which you discuss both theinternal and external aspects of the conflict, its climax and resolution. (10).4. Discuss the storys setting, and analyse the ways in which it may influence events in thestory. (10)5. What type of narration is used in the story? Explain how the narrative style may influenceour perception of the two main characters, and how it emphasizes the storys meaning.(10) Place quotation marks where needed in each sentence. Fifteen sets of quotation marks are needed. 1) J. Michael, asked Booker, have you ever read about George W. Carver? 2) 2) Yes, I gave an oral report on him one time, answered J. Michael. 3) Thoughtfully, Booker said, Dr. Carver was a responsible man, wasn't he? 4) Yes, responded J. Michael, he always wanted to help others. 5) He was known as 'plant doctor ' because of his love for plants, continued J. Michael. 6) Then J.Michael added, Obviously, God gave him a special understanding of plants. 7) He certainly knew more about agriculture than I! agreed Booker with a smile. 8) Dr. Carver, commented J. Michael, received training at two colleges in Iowa. 9) He also taught at the Tuskegee Institute in Alabama, reported J.Michael. 10) Wasn't Tuskegee Institute started by Booker T.Washington? asked Booker admiringly. 11) You are right again, answered J. Michael, complimenting his friend. 12) J. Michael added, George W. Carver taught at Tuskegee Institute until his death in 1943. Write these ratios in their simplest form. You must show all your workings:a. 2 litres:600mlb.8h:1dayc.3km:250m A cylindrical water tank is 12 feet high and 10 feet in diameter. the entire tank, inside and out, is to be painted. if a gallon of paint covers 200 sq ft, how many gallons will be needed? How would you have felt had you been alive during the Cuban Missile Crisis? the condensed formula ch3ch(ch3)2 represents