9. Carson draws a scale drawing of a city park and a parking lot. The city 10 points park is in the shape of aright triangle with legs that are 3 inches and 4 inches. The parking lot is in a shape of a rectangle with dimensions of 1.5 inches and 2.5 inches. The scale for the drawing is 1 inch = 40 feet. What are the TWO actual areas for the shapes that are represented?​

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The scale for the drawing is 1 inch = 40 feet.

The right angled triangle has legs of 3 inches and 4 inches. Using the scale, the length of the legs is:

3 inches = 3 inch * 40 feet / inch = 120 feet and 40 inches =  4 inch * 40 feet / inch = 160 feet.

The area of a right angled triangle is half the product of the two legs. Hence:

Area of right angled triangle = 1/2 * 120 feet * 160 feet = 9600 ft²

The rectangle with dimensions of 1.5 inches and 2.5 inches. Using the scale, the length of the sides is:

1.5 inches = 1.5 inch * 40 feet / inch = 60 feet and 2.5 inches =  2.5 inch * 40 feet / inch = 90 feet.

The area of a rectangle is the product of the two sides. Hence:

Area of rectangle = 60 feet * 90 feet = 5400 ft²


Related Questions

Find the other endpoint of the line segment with the given endpoint and midpoint.
Endpoint: (-9,7), midpoint: (10, -3)

Answers

Answer:

endpoint is (29, -13)

Step-by-step explanation:

Formula for midpoint is [tex](\frac{x_{1} + x_{2} }{2} ,\frac{y_{1} + y_{2} }{2} )[/tex]

So, let [tex](x_{2} , y_{2} )[/tex] be the coordinates of the endpoint you are looking for.

[tex]x_{1} = -9[/tex]  and [tex]y_{1} = 7[/tex]

[tex](\frac{-9 + x_{2} }{2} , \frac{7 + y_{2} }{2} )[/tex] = (10, -3)

[tex]\frac{-9 + x_{2} }{2} = 10[/tex]           [tex]\frac{7 + y_{2} }{2} = -3[/tex]

-9 + [tex]x_{2}[/tex] = 20         7 + [tex]y_{2} = -6[/tex]

[tex]x_{2} = 29[/tex]                    [tex]y_{2} = -13[/tex]

endpoint is (29, -13)

Carmen needs to order raffle tickets for a company party. Usually, 1 out of 2 employees will
buy a raffle ticket. If there are 500 employees expected at the company party and raffle tickets
come in packages of 15, how many packages of raffle tickets should Carmen order?

Answers

Answer:

17

Step-by-step explanation:

500/2 = 250

250/15 = 16.6 repeated

If you round 16.6,  you get 17, and it better to have too many, than not enough.

17. Equals 15 1 out of 2

two turkey burgers and a bottle of water cost $3.25. If three turkey burgers and a bottle of water cost $4.50,What is the cost of tw bottles of water?

Answers

Answer:

$1.50

Step-by-step explanation:

let b be the number of turkey burgers and w be the number of bottles of water.

[tex]2b + w = 3.25\\3b + w = 4.50[/tex]

becomes

[tex]3b + w = 4.50\\- (2b + w)=3.25[/tex]

[tex]b = 1.25[/tex]

substitute this into one of the original equations:

[tex]3b + w = 4.5\\3 * 1.25 + w = 4.5\\3.75 + w = 4.5\\w = 0.75[/tex]

two bottles of water equals 0.75 * 2 = 1.50

There are 60 animals on display at the zoo 12% of these animals are reptiles how many of the animals are reptiles how many are not reptiles

Answers

60 divided by 12% and that equals 5%
12x60=7.2
88x60=52.8
7rep
53not

The monthly rent for an 800 square-foot office is $975 for an 1100 square-foot office the rent is $1125 right in Savona equation to find the monthly rent for 1500 square-foot office

Answers

Answer:

the answer is 1325

Step-by-step explanation:

PLS HELP I WILL GIVE BRAINLY- scientists believe that Niagara falls were formed 10,000 years ago and they predict it will last for another 25,000 years how old will Niagara falls be then?

Answers

Answer:

approximately 35,000 years old

Somewhere around 35,000 years old. Hope this helps!

A gear with an 80 centimeter radius is connected to another gear with a 26
centimeter radius. The small gear is spinning at 100 rpms. Find the angular
velocity of the small gear in radians per minute.

Answers

Step-by-step explanation:

y8t8tx8xigz7gdiz7ts7tzs7t

PLEASE HELP DUE SOON NEED CALCULATIONS TOO Trevor is buying carpet for his rectangular living room the length if this living room is 3 feet more than his width the area of the living room is 88

Answers

Answer:

12

Step-by-step explanation:

Which expression is equivalent to
5(6p + 5) + 2(8p + 3)?

Answers

Answer:

46p + 31

hope it's helpful

Answer:

46p + 31

Step-by-step explanation:

Distribute : 5(6p + 5 ) to get 30p+25

Distribute : 2(8p + 3) to get 16p + 6

new expression : 30p + 25 + 16p + 6

Add these together to get : 46p + 31

i hope this helps (:

ALMOST DONE! TRY TO ANWSER CORRECTLY‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️

Answers

The answer is true lol
It’s answer would be true

What is the tangent ratio for ∠B?

Answers

Answer:

Your answer is

tangent ratio of B is 3/2

Mark my answer as brainlist . I need that urgently . Folow me for more answer.

Step-by-step explanation:

Step-by-step explanation:

3/ root13 will go correct

PLEASE HELP FOR QUESTION 4 I WILL MARK BRAINLIST READ IT CAREFULLY

Answers

hey let me tell you this you just never helped me and cheating is not good so yeah treat people the way you want to be treated and I saw your answers to other people it's not good to cheat just a piece of advice  

Find the solution of the system of equations. 15x-4y=-50 3x-2y=-16

Answers

Answer:

(2,5)

Step-by-step explanation:

15x-4y=-50

3x-2y=-16

15x-10y=-80

15x-4y=-50

-15x+10y=80

15x-4y=-50

10y=80

-4y=-50

6y=30

y=5

3x-2y=-16

3x-2(5)=-16

3x-10=-16

3x=6

x=2

Hope this helped <3

A lighthouse built at sea level is 150 feet high. From its top, the angle of depression of a buoy is 25°.
Find the distance from the buoy to the foot of the lighthouse.

Answers

Answer:

321.8

Step-by-step explanation:

tan25°=150/x plug into calculator

Gives 321.68

I need serious help!!

Answers

Answer:

26.85

Step-by-step explanation:

PLS HELP ILL MARK BRAINLYEST

Answers

Answer:

A = 8, B = 1/8, C = 13/5, D = 13/50

Step-by-step explanation:

4a = 32

divide both sides by 4

4a/4 32/4 =8

Basically repeat this process on every equation, and remember to divide both sides by the number on the left.


Please helppp. Solve for x in the diagram below

Answers

Answer:

12

Step-by-step explanation:

The diagram shows a right angle, therefore (6x-2) + 20 = 90.

Find x

(6x - 2) + 20 = 90

6x - 2 = 70

6x = 72

x = 12

Confirmation

[6(12) - 2] + 20 = 90

The answer is [6(12)-2]+20=90

Can sombody please answer this as fast as possible

Answers

Your answer should be -6

what is the equation
example:: y=3/1x-6

Answers

Answer:

y = 4/6x - 4

Step-by-step explanation:

y = mx + b, m = slope and b = y intercept

Rise over run

Rise = +4

Run = +6

This means the slope is 4/6.

The y intercept is at -4.

Now, plug in the numbers for y = mx + b

y = 4/6x - 4

During a fundraiser at Virginia Middle School, the school received $10 for every 3 items sold. If the students sold 300 items how much money did Virginia middle school receive? PLEASE HELP WILL MARK BRAINLY

Answers

Answer:

I do believe its 1000

Step-by-step explanation:

Answer:

Step-by-step explanation:

1000

як знайти сторону трикутника якщо відомо два кути і катет

Answers

Answer:

wha

Step-by-step explanation:

Of the 42 people who work at white side industries, 5/6 work in the manufacturing plant. How many people work in the manufacturing plant? (PLEASE SHOW YOUR ANSWER)

Answers

35 people.

Steps are on paper

3.2(s+10)=32
what is s?

Answers

3.2s+32=32
3.2s=32-32
3.2s=0
S=0
S = 0 hope this helped :)

Another math equation, Another scratch on the head. Please advise, thanks bud!

Answers

Answer:

A = no

B = yes

C = yes

D = yes

Step-by-step explanation:

Hope I could help.

I need help with geometry

Answers

Answer:

x = 31, y = 53, z = 96

Step-by-step explanation:

i got this question ina test so yea

Graph the image of kite RSTU after a reflection over the line x= –4.

Answers

Answer:

U (-6,5)

R (-8,4)

T (-8,6)

S (-9,5)

Step-by-step explanation:

juan piensa en un número si al doble del
número le aumenta 18 encuentra que es igual a 27, cual es el número?​

Answers

Answer:

Step-by-step explanation:

el número es 4,5

es una ecuación lineal:

2x+18=27

2x=9

x=9/2

x=4,5

Answer:

el numero es 4.5

Step-by-step explanation:

numero = X

Doble del numero = 2X

entonces

2X + 18 =27

2x = 27 - 18

2X = 9

x = 9/2

x = 4.5

Usé el traductor de Go ogle para esto, ¡así que lo siento si no tiene sentido!

Find the complete factored form of the
polynomial:
40a3b2 + 45ab6
Enter the correct answer
OOOO
DONE
Clear all

Answers

5ab^2 (8a^2 + 9b^4)

which property proves triangles are congruentttt

Answers

Two triangles are congruent if and only if all corresponding angles and sides are congruent.

ANSWER: AAS

A square garden with side length of 50 has a square shaped fountain display with length of 12 feet at the exact center of garden find the area of the garden

Answers

Answer:

The area of the garden is [tex]2356\ ft^2[/tex]

Step-by-step explanation:

Area of a Square

Given a square of a side length of x, the area is calculated as:

[tex]A = x^2[/tex]

There is a square garden area of a side length of x=50 feet. The area is:

[tex]A_1=50^2=2500\ ft^2[/tex]

Inside of it, there is another square area for a fountain display of a side length of 12 feet. The area is:

[tex]A_2=12^2=144\ ft^2[/tex]

The area of the garden is the difference between A2 and A1:

[tex]A_g=A_2-A_1=2500\ ft^2-144\ ft^2[/tex]

[tex]A_g=2356\ ft^2[/tex]

Other Questions
A rectangular sheet of paper has a perimeter of 60cm. When it is folded in half along its longer line of symmetry, the perimeter of the rectangle which this creates is 49cm. What are the dimensions of the original shape? Jon is hitting baseballs. When he tosses the ball into the air, his hand is 5 feet above the ground. He hits the ball when is falls back to a height of 4 feet. The height of the ball is given by h(t)=5+25t-16t^2, where t is the time in seconds.a) How much time will pass before Jon hits the ball? (round to the nearest tenth of a second)b) What is the time in which the maximum height the ball attains? ( to the nearest hundredth of a second) A forensic accountant is similar to a(n) ______ because they both work to combat accounting fraud A. international accountantB. auditorC. certified public accountantD. general ledger accountantSUBMIT Could someone give me ideas for Starter sentences? Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 5 loaves of banana bread. Andre will follow the same recipe. He will make b loaves of banana bread using f cups of flour.Q1. How many cups of flour are needed to make 1 loaf of bread? the quotient of 8 and the sum of a number w and 10Write the phrase as an expression. do 252/448 and 36/64 form a proportion? Can somebody help me with this question. Will mark brainliest. Which table of value is correct for the equation y = - x + 3 Circle the correct answers:1. Is Marjorie your tour guide? Yes, __________a) Shes b) She is c) Is Help please! Do not answer if you are not going to help me What was President Nixon's approach to easing tensions between the United States and other nations?A.) investigation before actionB.) dtenteC.) reconciliationD.) a truce with all nations There are 20 books in 4 boxes. How many books are there in 1 box? Find the slope of the line. Should the U.S help Africans infected with hiv/aids? Write an equation that can be used to answer the question. Then solve. Round to the nearest tenth if necessary. help me i suck at this What grows in all four regions of Africa? Can someone please answer these asap. The volume of Cube A is 100 cm3. What is the volume of Cube B given they are similar?