Mathematics High School

geometry word problem:
The area of a square is four times the area of a triangle. If the base of the triangle and a side of the square are equal, what is the ratio of the height of the triangle to the side of the square?
(A) 1 : 4
(B) 1 : 2
(C) 2 : 1
(D) 3 : 2
(E) 2 : 3

Answers

Answer 1

The ratio of the height of the triangle to the side of the square (B) 1 : 2

What are the areas of triangle and square?

The area of a triangle is (1/2)×base×height.

The area of a square is (side)².

Given, The area of a square is four times the area of a triangle.

∴ (side)² = 4{(1/2)×base×height}.

The base of the triangle and the side of the square are equal let this be 'a'.

∴ a² = 4(1/2)×a×height.

a = 2×height.

a = 2h.

learn more about squares here :

https://brainly.com/question/14198272

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Related Questions

Evaluate the expression. 5 x (-6 / -1 + -10)

Answers

Answer:

-20

Step-by-step explanation:

PEMDAS

Parentheses -> Exponents -> Multiplication -> Division -> Addition -> Subtraction

1.) First, we can rewrite this equation to make it easier to understand

5 x (-6 / -1 + - 10)

5(-6 / -1 - 10)

2.) Begin by dividing inside the parentheses

5(-6 / -1 - 10)

5(6 - 10)

3.) Solve

5(6 - 10)

5(-4)

-20

or

5(6 - 10)

5(6) 5(-10)

30 - 50

-20

Therefore, the expression equals -20.

find 3 arithmetic means between -4 and 16​

Answers

Therefore, the arithmetic means are 1, 6, 11

Step-by-step explanation:
-4,_,_,_,16
Solution:
16= -4+(5-1)d
16= -4+4d
16+4= 4d
20=4d
4 4
d=5
-4 1 6 11
+5 +5 +5 +5
1 6 11 16
-4 ,1 ,6 ,11 ,16

Find the area of each figure

Answers

Answer:

flu

Step-by-step explanation:

ugh


Linda took her son to the batting cages. For the first 5 minutes she paid $10 and for
each additional minute she paid $.50. If Linda, paid $22 for her son to go to the batting
cages, how much time were they there for?

Answers

Answer:

29 minutes

Step-by-step explanation:

HELP PLS! Which of the following expressions is equal to x2 +9?
O A. (x-3)2
O B. (x+3)(x - 3
O C. (x+3)(x-6)
O D. (X+3)2

Answers

the answer is B. (x+3) (x-3)

what are the different types of geometric constraints that are applied to sketches, and what are their functions?

Answers

Some examples of geometric constraints include parallelism, perpendicularity, concentricity and symmetry. Parallelism occurs when two or more lines or axes of curves are equidistant from each other. Perpendicularity is a constraint in which lines or axes of curves intersect at right angles.

M is the midpoint of the segment. Find the length of CG

Answers

If M is the midpoint then segment CM and segment MG are equal. So 6x - 15 = 4x + 1.

6x - 15 = 4x + 1
-4x +15 -4x +15
(Move all the x’s to one side the other numbers to the other)

2x = 16
2 2
(Divide both sides by 2)

x = 8

Now just plug in x to find the length of one segment and double it to find the length of CG

6(8) - 15 = 33

33 • 2 = 66

CG = 66


Pls explain how to solve it!

Answers

Answer:

a = jd

Step-by-step explanation:

We want to solve for a given that a/d = j

To do so we want to isolate a (get a by itself )

We can do this by using inverse operations.

We would want to get rid of the d

A is being divided by d.

The inverse of division is multiplication so to get rid of the d we multiply a/d by d but whatever we do to one side we must do to the other so we multiply both sides by d

a/d * d = a

j * d = jd

we are then left with a = jd

And we are done!

Answer:

a = jd

Step-by-step explanation:

We have to solve the equation for a - in other words, we have to find a in terms of d and j. Another way to think about this is that we need a by itself on one side, equal to the other two values in some sort of relationship.

So, how can we accomplish this? Well, currently a is being divided by d, so we should probably multiply both sides by d to get that d away from a. The process is shown below:

[tex]\frac{a}{d} =j[/tex]

[tex]\frac{a}{d} *\frac{d}{1} =j*d[/tex]

[tex]\frac{ad}{d} =jd[/tex]

[tex]a=jd[/tex]

And look at that! We've solved for a in terms of the other two values. If you need any more help or everything I just did was confusing or overwhelming, let me know so I can clarify. :)

find the sum of that amount to RS 9144 in 3 years at 9%per year simple interest ​

Answers

ANSWER:

4937.76

Step-by-step explanation:

I=PRT

I=9144*0.09*9

I=4937.76

The quadrilateral with the following vertices is a ______. (-6, -2), (4, -2), (2, -5), (-7, -5)

Answers

Answer:

rectangle

Step-by-step explanation:

u can use a graph paper

A box has 30 pencils in it.the probability of picking a red pencil is 1/6.How many red pencils are in the box

Answers

Answer:

[tex]\huge\boxed{\sf 5\ red\ pencils}[/tex]

Step-by-step explanation:

Total pencils = 30

Probability of picking a red = 1/6

Red pencils in the box = probability × total pencils

= 1/6 × 30

= 5 red pencils

So, there are 5 red pencils in the box.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

100 points !!!!!1 Drag the answers to match the inequality and the situation it represents. c<10 c>10 c<20 c>20

Answers

Hi!

c < 10

This means that c is less than 10. Any number smaller than 10 works, such as 7, -4, 5.6.

c > 10

This means that c is greater than 10. Any number greater than 10 works, such as 12, 58, 10.9.

c < 20

This means that c is less than 20. Any number smaller than 20 works, such as 6, -2, 19.7.

c > 20

This means that c is greater than 20. Any number greater than 20 works, such as 21, 74, 20.5.

Hope this helps! Have a great day :D

Answer:

here are the answers

Step-by-step explanation:

According to building codes, a wheelchair ramp should have a slope of 1/10 or less.

a) Does the wheelchair ramp shown meet the requirements? (The ramp had a height of 75 cm and a length of 800 cm.)
Include calculations to justify your answer.

Answers

Using the slope formula, it is found that the slope is of 0.09375 < 0.1, hence, it meets the requirements.

The slope of a ramp is given by it's height divided by it's length, that is:

[tex]m = \frac{h}{l}[/tex]

In this problem:

The height is of 75 cm, hence [tex]h = 75[/tex].The length is of 800 cm, hence [tex]l = 800[/tex].

Then, the slope is given by:

[tex]m = \frac{h}{l} = \frac{75}{800} = 0.09375[/tex]

The slope is of 0.09375 < 0.1, hence, it meets the requirements.

A similar problem about the use of slopes in ramps is given at https://brainly.com/question/18090623

Please help with the steps to get the answer. Thank you.
15^(4x-8 )= 1

Answers

[tex]15^{4x-8} =1\\\\\implies 15^{4x-8} = 15^0\\\\\implies 4x -8 = 0\\\\\implies 4x = 8\\\\\implies x = \dfrac 84\\\\\implies x =2[/tex]


PLEASE HELP
Solve for x

Answers

Answer:

you get 32

Step-by-step explanation:

On a map the distance is 2.6cm scale of the map is 1cm:50km

Answers

Answer:

Step-by-step explanation:

2.6*50=130 km

Find the area of the figure:
6 in.
5 in.
M
5 in.
10 in.
The area is
square inches.

Answers

The area of the composite figuren as shown in the diagram is 90 in².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

Area of the figure = Area of the rectangle+Area of the trapeziumA = aw+h(a+b)/2..................... Equation 1

Where:

a = Length of the rectangle = Length of on of the side of the trapezium = 10 inb = Length of the other side of the trapezium = 6 inh = Height of the trapezium = 5 inw = Width of the rectangle = 5 in

Substitute these values into equation 1

A = (5×10)+5(10+6)/2A = 50+40A = 90 in²

Learn more about area here: https://brainly.com/question/28470545

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Can someone plz help Me?

Answers

the answer to your question is B. A 5-minute reduction in the time to run a race

Answer: B

Step-by-step explanation: it is B bc all of them r postitive... 5 more worker is more people to help at a buisness

HAVE A WONDERFUL DAY!

Given a ball with a diameter of 38 inches, how much fabric would be needed to cover the surface?

Answers

Answer:

[tex]27436\pi[/tex] square inches

Step-by-step explanation:

Since we are covering the surface of the ball, we need to determine the ball's surface area.

Assuming the ball to be a sphere, its surface area would be [tex]A=4\pi r^2[/tex] where [tex]r[/tex] is the radius.

Since the diameter is twice the radius, then the radius of the ball is 19 inches.

Therefore, the surface area of the ball is [tex]A=4\pi (19)^3=4\pi(6859)=27436\pi[/tex] square inches.

To the nearest hundredth, find the area of a circle with a circumference of 69.08 feet. Use 3.14 for π.

Answers

Answer:

The radius would be 11ft.

Step-by-step explanation:

So what we need to do is, 69.08 divided by π (3.14) which equals to 22. 22ft is the diameter but we are looking for the radius, so we need to divide that by 2 which is 11ft.

Hope that helps. x ps. Love the fact the picture is upside down :)

please help me asap, pleaseee :/


ty ty :D

Answers

7x+8y=32

Just do pemdas

Answer:

7x+8y=32

Step-by-step explanation:

Hi there!

We are given the following equation:

[tex]y=-\frac{7x}{8} +4[/tex]

And we want to convert it into standard form

Standard form is ax+by=c, where a, b, and c are integer coefficients, a and b cannot be zero, and a cannot be negative

a is the coefficient in front of x and b is the coefficient in front of y

Since we have the term with x ([tex]-\frac{7x}{8}[/tex]) on the right side, and we want it on the left side with the term with y, we can move it to the other side, by adding [tex]\frac{7x}{8}[/tex] to both sides.

[tex]y=-\frac{7x}{8} +4[/tex]

+[tex]\frac{7x}{8}[/tex]   +[tex]\frac{7x}{8}[/tex]

_________________

[tex]\frac{7x}{8} + y =4[/tex]

Now we have the terms of x and y on both sides, but remember; we want the coefficients to be integers (whole numbers).

We'll need to clear the fraction of [tex]\frac{7x}{8}[/tex]. To do that, we can multiply both sides by 8.

[tex]8(\frac{7x}{8} + y) =8(4)[/tex]

Now doing the distributive property:

[tex]8(\frac{7x}{8}) + 8(y) =8(4)[/tex]

Multiply each term by 8.

7x + 8y = 32

Hope this helps!

Greg earns $2.50 per hour plus $13.50 for each pool he cleans. He worked 8 hours and cleaned 5 pools. How much did he earn?

Answers

Answer:

87.5

Step-by-step explanation:

2.5 multiple by 8(number of hours) gives 20 dollars

Then 13.5 multiple by 5(number of pools cleaned) gives 67.5

The sum of both is 87.5 dollars

Evaluate the expression 4(2x + 6) when x = 4.5 *

122
60
42
12

Answers

60 is your answer.

Explanation:

4(2(4.5) + 6)

Use the distributive property and simplify.

Answer:

The solution to the expression with x = 4.5 is 60.

Step-by-step explanation:

Given:

x = 4.5

Work:

4(2x + 6)=> 8x + 24=> 8(4.5) + 24=> 36 + 24=> 60

Hence, the solution to the expression with x = 4.5 is 60.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

A cone has a volume of 94.2 cubic feet and a height of 10 feet. What is its radius?

Answers

Answer:

  3 ft

Step-by-step explanation:

The formula for the volume of a cone is ...

  V = 1/3πr²h

Solving for r, we find ...

  r = √(3V/(πh))

  r = √((3×94.2)/(π×10)) ≈ √9 = 3 . . . . ft

The radius of the cone is 3 ft.

у
(x, y) (?x, ?y)
A'
3-4-3-2-10
1
2
B
C
B
с

Answers

Answer:c

Step-by-step explanation:

anser :c

BRAINLIEST FIRST CORRECT ANSWER!

The list shows the ages of first-year teachers in one school system. What is the mode of the ages? 23, 42, 21, 25, 23, 24, 23, 24, 37, 23, 39, 51, 63, 24, 55

A.) 51


B.) 24


C.) 23

Answers

Answer:

23 is the answer of this question

Step-by-step explanation:

bye

Mode means the number that pops up the most repeatedly. In this case it's B.) 2 3

I NEED SOME HELP PLS

Answers

Answer: I might have done some of the math wrong but I think this is the answer.

Step-by-step explanation:

Jose would be able to save $16,400 including the $2,000 and he will need $166,000 in financial aid.

The oxygen atoms in the thermosphere absorb high-energy solar radiation and convert it into heat energy.
true
false

Answers

Step-by-step explanation:

Nitrogen and oxygen absorb solar radiation and release thermal energy, which causes temperatures in the thermosphere to be 1000 °C or higher. When most people think of an area that has high temperatures, they think of a place that is very hot. Although the thermosphere has very high temperatures, it does not feel hot. The answer is true

helpppp im failing math

Answers

Answer:

i think 4.4n+3-3.4n = n+3

Answer:

n+3

Step-by-step explanation:

If Im not incorrect you have to combine like terms in the equation which would only leave you with 1n (Just N basically)  then you just plug in the three and equation done.

find the value of 40% of 1KM (in m)​

Answers

Answer:

400m

Step-by-step explanation:

40% of some quantity = 0.4 times the quantity

We also know 1 km = 1000 m, therefore: 40% of 1000m = 0.4 * 1000m = 400m.

40% of 1 km in meters is 400 meters

What is percentage :

Percentage simply means per 100. Percentage can be express as decimal or fraction.

For example 25% of 80 can be found as follows:

25 / 100 × 80 = 2000 / 100 = 20

From the example, 25% of 80 is 20 .

Therefore, 40% of 1 km(m) can be found as follows:

Let's convert km to metres.

1000m = 1km

40% of 1000

40 / 100 × 1000 = 40000 / 100 = 400metres

Therefore, 40% of 1 km in meters is 400 meters

learn more on percentage here: https://brainly.com/question/19540991?referrer=searchResults

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