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

Find The Area Of The Shapes Below. Make Sure To Label Your Answers With Units.

Answers

Answer 1

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 2

Answer:  

1# 13.3 Km

2# 57.4 Km

3# 45.5 Km

4# 24.36 Km


Related Questions

PppppppppppppppppHELPppppppp

Answers

Step-by-step explanation:

please mark me as brainlest

THE ANSWER IS B I THINK IF ITS WRONG IM SORRY

lanetterisbelle
6 minutes ago
Mathematics
College
Use the following information for Excercise 2-9 through Excercise 2-12 below. (Staic)
Following are the transactions of a new company called Pose-for-pics.
August 1 M. Harris, the owner, invested $6,500 cash and 33,500 of photography equipment in the company.
August 2 The company paid 2,100 cash for an insurance policy covering the next 24 months.
Aust 5 The company purchased supplies for 800 cash.
August 20 The company received 3,331 cash from taking photos for customers.
August 20 The company received 3,331 cash from taking photos for cusotmers.
August 31 The company paid $ 675 cash for August utilities.
Excercise 2-11 ( Static) Analyzing transacctions using accounting equation LO A1
Analyze each transaction above by showing its effects on the accounting equation-specifically, identify the accounts and amounts ( including + or -) Use the following partial chart of accounts: Cash; Supplies; Prepaid Insurance; Equipment; M. Harris, Capital; Services Revenue; and Utilities Expense




Date Assets = Liabilities + Equity
August 1 = +
August 1 = +
August 2 = +
August 2 = +
August 5 = +
August 5 = +
August 20 = +
August 31 Cash (+) increase 6,500 = +

Answers

Each transaction has been an analyzed in the trial balance below by showing its effects on the accounting equation-specifically, identifying the accounts and amounts.

How to prepare a Trial Balance?

The Journal Entries are:

Cash                                                                                 6500

Photography equipment                                                33500

                  Capital                                                                       40000

Prepaid Insurance                                                           2100

                   Cash                                                                         2100

Office Supplies                                                                  880

                  Cash                                                                          880

Cash                                                                                   3331

           Revenue                                                                          3331

Utilities Expense                                                                 675

           Cash                                                                                 675

Cash account = 6500 - 2100 - 880 + 3331 - 675

Cash Account = 6176

                                                     Trial Balance

                                                                              Debit                         Credit

Cash                                                                       6176

Prepaid Insurance                                                  2100

Supplies                                                                   880

Revenue                                                                                                      3331

Utilities Expense                                                      675

Capital                                                                                                       40000

Photography Equipment                                         33500

Total                                                                         43331                       43331

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A rectangular prism is 25 inches wide, 5 inches long and 6 inches high.
What is the exact volume of the prism?
125

Answers

Answer:

750

Step-by-step explanation:

FORMULA FOR VOLUME

L×W×H

L:5

W:25

G:H

5x25x6=750

What is 10,8,12,10,14?

Answers

Answer:

they are all called numbers

Step-by-step explanation:

How do I evaluate this double integral

Answers

Convert to polar coordinates with

[tex]x = r \cos(\theta)[/tex]

[tex]y = r \sin(\theta)[/tex]

so that [tex]x^2 + y^2 = r^2[/tex], and the Jacobian determinant for this change of variables is

[tex]dx\,dy = r \, dr \, d\theta[/tex]

D is the disk centered at the origin with radius 2; in polar coordinates, this is the set

[tex]D = \left\{(r, \theta) \mid 0\le\theta\le2\pi \text{ and } 0 \le r \le 2\right\}[/tex]

Then the integral is

[tex]\displaystyle \iint_D (x + y + 10) \, dx \, dy = \int_0^{2\pi} \int_0^2 (r \cos(\theta) + r \sin(\theta) + 10) r \, dr \, d\theta[/tex]

[tex]\displaystyle = \int_0^{2\pi} \int_0^2 (r^2 \cos(\theta) + r^2 \sin(\theta) + 10r) \, dr \, d\theta[/tex]

[tex]\displaystyle = \int_0^{2\pi} \left(\frac83 (\cos(\theta) + \sin(\theta)) + 20\right) \, d\theta[/tex]

[tex]\displaystyle = 20 \int_0^{2\pi} d\theta = \boxed{40\pi}[/tex]

(since cos and sin are 2π-periodic)

Pleaseeee helppppp!!!!!!!!!

Answers

Answer:

107 degree

Step-by-step explanation:

interior angle sum of a hexagon is 720,

using S = (n - 2)*180

which is S =(4)*180

720-118-111-124-115-145=107

107° because the angles of a 6 sided shape add up to 720° so just add all the other angles and then subtract from 720

Help ASAP......


What are the dimensional formula of a and b in the relation F = at² + bx, whrer F is force, t is time and x is distance ?​

Answers

Heya User !

Your Answer is in the attachment, do check out.

MᎥssAbhᎥ

A white tailed deer can sprint at speeds up to 30 miles per hour. American Bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5.280 feet in one mile.

Answers

You scukkkkkkk ur trash u don’t know how to work bad student

The diagram below shows a park
district's plans for a new water
playground.
451/2
50 ft
What is the area of the new water
playground in square feet?


PLEASE HURRY

Answers

Answer:

I think it's 2275 square feet

Answer:

it is1125

Step-by-step explanation:

first 45x50=2250

next divide 2250 by 2 equals 1125

A sector with an area of \goldE{54\pi\,\text{cm}^2}54πcm
2
start color #a75a05, 54, pi, start text, c, m, end text, squared, end color #a75a05 has a radius of \maroonD{9\,\text{cm}}9cmstart color #ca337c, 9, start text, c, m, end text, end color #ca337c.
What is the central angle measure of the sector in radians?

Answers

The central angle measure of the sector is 4.19 rad.

Area of a Sector

You need apply the formula: [tex]A= r^2*\frac{\alpha}{2}[/tex]  for finding the area of the sector, in radians. In this formula, the variables are:

r= radius

[tex]\alpha[/tex]= central angle

The question gives:

A=54[tex]\pi[/tex] cm²

r= radius= 9cm

Thus, the central angle will be:

[tex]A= r^2*\frac{\alpha}{2}\\ \\ 54\pi =81*\frac{\alpha }{2} \\ \\ 1.33333\pi =\alpha[/tex]

For [tex]\pi[/tex]=3.14159..., you have :

[tex]\alpha=4.19\; rad[/tex]

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Answer:

4pi/3

Step-by-step explanation:

What linear equation in slope intercept form does this graph represent?

Answers

Answer: Hope this helps

y = 3/5x + 100

Slope: 3/5

Y-int: 100

Step-by-step explanation:

y = mx + b

replace b with y-int

y = mx + 100

replace m with the slope which is 3/5

y = 3/5x + 100

How do you get slope?

Well I did rise/run with two points so I saw it ran 5 squares and rose only 3.

How do you get the y-int?

Well the y-int is the point where x is 0. So using the point (0,100), since x is 0, the y-int is 100.

What is the slope of the line that passes through the points (1, 3) and (5, -2)?

Answers

Answer:

slope = -5/4

Step-by-step explanation:

Because you have been given two points, you can use point-slope formula to find the slope. In the equation, "m" is the slope.

1st Point: (1,3)

2nd Point: (5, -2)

y₁ - y₂ = m(x₁ - x₂)                    <----- Point-Slope Equation

3 - (-2) = m(1 - 5)                       <----- Plug "x" and "y" values into equation

5 = m(-4)                                   <----- Combine like terms

-5/4 = m                                    <----- Divide both sides by -4

Please help I am so confused
The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 480 minutes, the monthly cost will be $277. If the customer uses 990 minutes, the monthly cost will be $532.

A) Find an equation in the form
y=mx+b, where x is the number of monthly minutes used and
y is the total monthly cost of the Ringular plan.

Answer:
y=
B) Use your equation to find the total monthly cost if 881 minutes are used.

Answer: If 881 minutes are used, the total cost will be

Answers

The total cost when 881 minutes is used is $477.50.

What are the equation that model the question?

a + 480b = 277 equation 1

a + 990b = 532 equation 2

Where:

a = flat fee b = variable fee

What is the flat fee and the variable fee?

Subtract equation 1 from equation 2

510b = 255

b = 255 / 510

b = $0.50

In order to determine the flat fee, substitute for b in equation 1

a + 480(0.5) = 277

a + 240 = 277

a = 277 - 240

a = $37

What is the total cost when 881 minutes is used?

Total cost = flat fee + (variable cost x number of minutes spoken)

$37 + (881 x 0.5) = $477.50

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I need help solving this problem system of equations

Answers

Answer:

y= -6

Step-by-step explanation:

-4x and 4x are canceled out. -2y+8y= 6y. -12-24=-36

You are left with 6y=-36 . Divide from both sides and -36/6 is -6. So, y=-6.

Hope this helped.

The table shows values of function f(x). The graph shows the function g(x).
What is the average rate of change of f(x) over the interval from x=2 to x=6?
Find the average rate of change of g(x) over the interval from x=0 to x=4.
What is the difference between the two functions? Which one is moving more quickly? What does it mean to have a negative answer?

Answers

The average rate of change for f(x) and g(x) are respectively 2.25 and -2 and so we can say that f(x) is moving more quickly.

How to find the average rate of Change?

Formula for the average rate of change is;

f'(x) = (f(b) - f(a))/(b - a)

Thus;

1)  Average rate of change of f(x) over the interval from x = 2 to x = 6 is;

f'(x) = (f(6) - f(2))/(6 - 2)

We are given;

f(6) = 10 and f(2) = 1

Thus; f'(x) = (10 - 1)/4 = 2.25

2)  Average rate of change of g(x) over the interval from x = 0 to x = 4 is;

g'(x) = (g(4) - g(0))/(4 - 0)

We are given;

g(4) = 0 and g(0) = 8

Thus; g'(x) = (0 - 8)/4 = -2

3) From the average rate of change of both functions, we see that f(x) is positive and has a higher rate of change and so we can say that f(x) is moving more quickly.

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help please i need to turn this in

Answers

Answer:

Q3 = $5743.49117291326

Q4 = $10955.6157151671

Step-by-step explanation:

General formula for amount in Compound Interest

Amount [A] = [tex]P(1+r)^{t}[/tex]

Here, P = principal

r = rate of interest in decimal form

t = time in years

Q3

----

Substitute current values in question with formula to give you

$5743.49117291326

Q4

----

Substitute current values in question with formula to give you

$10955.6157151671

Find the slope of the line.

Answers

Answer:

-1

Step-by-step explanation:

Rise/Run equates it to be -1/1 wich is -1

Given sine of x equals negative 5 over 13 and cos x > 0, what is the exact solution of cos 2x?

Answers

The value of cos 2x is 119/169 after applying the trigonometric identity cos2x = 1 - 2sin²x option second is correct.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have given:

sinx = -5/13

and cosx > 0

We know,

cos2x = 1 - 2sin²x

sinx = -5/13

Squaring on both sides:

sin²x = 25/169

Multiply by 2 on both the sides:

2sin²x = 2(25/169)

Add -1 on both sides:

-1 + 2sin²x = -1 + 2(25/169)

or

1 - 2sin²x = 1 - 2(25/169)

cos2x = 1 - 50/169

cos2x = 119/169    (as the cosx > 0)

Thus, the value of cos 2x is 119/169 after applying the trigonometric identity cos2x = 1 - 2sin²x option second is correct.

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Answer:

The guy above me is correct

Step-by-step explanation:

Look at the screen shot I got it correct

Peter and Henry went to the movies Peter bought the two Movie tickets for 7 dollars each. How much did he spend for the movie tickets .

Answers

$14

7•2=14
Peter bought both tickets and the each cost $7 so 7 times 2 would be 14

Answer:

Step-by-step explanation:

the cost of each ticket is 7 dollars.  Peter brought 2 tickets.  7 x 2 = 14

Peter spent $14 dollars on two movie tickets.

Is this rational or irrational?

Answers

Answer:

Irrational.

Step by step explanation:

[tex]\sqrt 6 + \dfrac{2}{3}\\\\\\=\dfrac{3\sqrt 6 +2}{3}\\\\\text{The sum of the these two numbers cannot be expressed as the the ratio of two integers,}\\\\\text{So the sum is not rational.}[/tex]

which of the following rational functions is graphed below

Answers

Considering it's vertical asymptotes, the rational function graphed below is given by:

B. [tex]F(x) = \frac{1}{(x - 1)(x + 1)[/tex]

What are the vertical asymptotes of a function f(x)?

The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

In this problem, the vertical asymptotes are at [tex]x = \pm 1[/tex], hence the function is given by:

B. [tex]F(x) = \frac{1}{(x - 1)(x + 1)[/tex]

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Enter a range if values for x.

Answers

Answer:

See the attachment photo!

$20.000 deposit earning 3.5% compounded monthly,after 10 years

Answers

Answer:

A = $28,338.18 after 10 yrs

Step-by-step explanation:

hope this helps

hope you can understand

Write two numbers that multiply to the value on top and add to the value on bottom.
-84
17

Answers

Two numbers multiply the value on top (-84) and add to the value on the bottom (17) is 21 and -4.

What is multiplication?

Multiplication is one of the four basic arithmetic operations, alongside addition, subtraction, and division. Multiplication essentially means the repeated addition.

The two given numbers are -84 and 17.

We need to write two numbers that multiply to the value on top (-84) and add to the value on the bottom (17).

If we multiply 21 and -4, we get the product as -84.

That is, 21×(-4)=-84

If we add 21 and -4, we get the sum as -17.

That is, 21+(-4)=21-4=17

Therefore, two numbers multiply the value on top (-84) and add to the value on the bottom (17) is 21 and -4.

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A culture of bacteria has an initial population of 9300 bacteria and doubles every 3
hours. Using the formula P = Po 25, where Pt is the population after thours, P
is the initial population, t is the time i hours and d is the doubling time, what is the
population of bacteria in the culture after 10 hours, to the nearest whole number

Answers

Answer:

The approximate population of bacteria in the culture after 10 hours is 93,738.  

Step-by-step explanation:

General Concepts:Exponential Functions.Exponential Growth.Doubling Time Model.Logarithmic Form.

BPEMDAS Order of Operations:

Brackets.Parenthesis.Exponents.Multiplication.Division.Addition.Subtraction.Definitions:

We are given the following Exponential Growth Function (Doubling Time Model), [tex]\displaystyle\mathsf{P_{(t)}\:=\:P_0\cdot2^{(t/d)}}[/tex] where:

[tex]\displaystyle\sf{P_t\:\:\rightarrow}[/tex] The population of bacteria after “t ” number of hours. [tex]\displaystyle\sf{P_0 \:\:\rightarrow}[/tex] The initial population of bacteria. [tex]\displaystyle{t \:\:\rightarrow}[/tex]  Time unit (in hours). [tex]\displaystyle{\textit d \:\:\rightarrow}[/tex]  Doubling time, which represents the amount of time it takes for the population of bacteria to grow exponentially to become twice its initial quantity.  Solution:

Step 1: Identify the given values.

[tex]\displaystyle\sf{P_0\:=}[/tex] 9,300. t = 10 hours. d = 3.  

Step 2: Find value.

1. Substitute the values into the given exponential function.

  [tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow P_{(10)} = 9300\cdot2^{(10/3)}}[/tex]

2. Evaluate using the BPEMDAS order of operations.

  [tex]\displaystyle\mathsf{P_{(10)} = 9300\cdot2^{(10/3)}\quad \Longrightarrow BPEMDAS:\:(Parenthesis\:\:and\:\:Division).}[/tex]

  [tex]\displaystyle\sf P_{(10)} = 9300\cdot2^{(3.333333)}\quad\Longrightarrow BPEMDAS:\:(Exponent).}[/tex]

  [tex]\displaystyle\sf P_{(10)} = 9300\cdot(10.079368399)\quad \Longrightarrow BPEMDAS:(Multiplication).}[/tex]

 [tex]\boxed{\displaystyle\mathsf{P_{(10)} \approx 93,738.13\:\:\:or\:\:93,738}}[/tex]

Hence, the population of bacteria in the culture after 10 hours is approximately 93,738.  

Double-check:

We can solve for the amount of time (t ) it takes for the population of bacteria to increase to 93,738.

1. Identify given:

[tex]\displaystyle\mathsf{P_{(t)} = 93,738 }[/tex].[tex]\displaystyle\mathsf{P_0 = 9,300}[/tex].d = 3.

2. Substitute the values into the given exponential function.

  [tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 93,378 = 9,300\cdot2^{(t/3)}}[/tex]

3. Divide both sides by 9,300:

  [tex]\displaystyle\mathsf{\longrightarrow \frac{93,378}{9,300} = \frac{9,300\cdot2^{(t/3)}}{9,300}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = 2^{(t/3)}}[/tex]

4. Transform the right-hand side of the equation into logarithmic form.

  [tex]\boxed{\displaystyle\mathsf{\underbrace{ x = a^y}_{Exponential\:Form} \longrightarrow \underbrace{y = log_a x}_{Logarithmic\:Form}}}[/tex]    

  [tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]  

5. Take the log of both sides of the equation (without rounding off any digits).  

  [tex]\displaystyle\mathsf{log(10.07936840) = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 1.003433319 = \bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996)}[/tex]

6. Divide both sides by (0.301029996).

  [tex]\displaystyle\mathsf{\frac{1.003433319}{0.301029996} = \frac{\bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996) }{0.301029996}}[/tex]

  [tex]\displaystyle\mathsf{\longrightarrow 3.3333333 = \frac{t}{3}}[/tex]

7. Multiply both sides of the equation by 3 to isolate "t."

  [tex]\displaystyle\mathsf{(3)\cdot(3.3333333) = \bigg[\:\frac{t}{3}\:\bigg]\cdot(3)}[/tex]

  [tex]\boxed{\displaystyle\mathsf{t\approx10}}[/tex]

Hence, it will take about 10 hours for the population of bacteria to increase to 93,378.    

__________________________________

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factoring using the distributive property

got really sick and missed a bunch of school, would really appreciate the help !

Answers

Answer:

Step-by-step explanation:

Factorizing using distributive property:  Factorize the terms  Find the Greatest Common factor. Take GCF from both the terms.

1) 5a² - 15

5a²  = 5 * a²

15    = 5 * 3

GCF = 5

5a² - 15 = 5*a² - 5*3

            = 5a(a - 3)

5) 36x²y - 48xy²  

36x²y =  2 * 2 * 3 * 3 * x² * y

48xy² = 2 * 2 * 2 * 2 * 3 * x * y²

GCF = 2 * 2 * 3*x*y  = 12xy

36x²y - 48xy²  = (12xy * 3x)  - (12xy*4y)

                        = 12xy*(3x - 4y)

6)75b²c³ + 60bc⁶  

75b²c³ =  3 * 5 * 5 * b² * c³

60bc⁶  = 2 * 2 * 3 * 5 * b * c⁶

GCF = 3*5*b*c³ = 15bc³

75b²c³ + 60bc⁶ = [15bc³* 5b]  + [15bc³ * 4bc³]

                          = 15bc³ * (5b + 4bc³)

Determine the cardinality of each set.
(a) {5, 1, 4, {6, 7, 8, ...}}
(b) {ø}
(c) {{{6, 7}}}

Answers

The cardinality of a set refers to the number of elements in the set. It is found by counting  the elements in the set.

What is cardinality of a set?

The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.

a) There are 6 elements in this set hence the cardinality is 6.

b) There is only one element in the set hence its cardinality is 1.

c) There are two elements in the set hence the cardinality is 2.

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What’s 1938292+92268292

Answers

Step-by-step explanation:

the answer is 94206584 kk

The subtraction property of equality states that the two sides of an
equation remain unequal when you subtract the same number of each
side.
O True
O False
* 10 points

Answers

Answer:

False

Step-by-step explanation:

The answer is in its name. Its a property of equality meaning it makes sure that both sides are equal to each other

Collect info on minimum and maximum temperature if 7 consecutive days in creative manner

Answers

you could use a thermometer on a pets fur if it was outside or measure the amount of air in a ball since air is heated it expands there for making the ball have more air? it’s a long shot but i would just go for the first idea to be honest
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