2. The original cost of a clock is $60 but you

An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):

AURORKA [14]

Answer:

$2\ gal$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

$A(18,20),B(4,20),C(4,4),D(16.2),E(22.10)$

step 1

Find the distance AB

we have

$A(18,20),B(4,20)$

substitute in the formula

$d=\sqrt{(20-20)^{2}+(4-18)^{2}}$

$d=\sqrt{(0)^{2}+(-14)^{2}}$

$AB=14\ ft$

step 2

Find the distance BC

we have

$B(4,20),C(4,4)$

substitute in the formula

$d=\sqrt{(4-20)^{2}+(4-4)^{2}}$

$d=\sqrt{(-16)^{2}+(0)^{2}}$

$BC=16\ ft$

step 3

Find the distance DE

we have

$D(16.2),E(22.10)$

substitute in the formula

$d=\sqrt{(10-2)^{2}+(22-16)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

$d=\sqrt{100}$

$DE=10\ ft$

step 4

Find the distance AE

we have

$A(18,20),E(22.10)$

substitute in the formula

$d=\sqrt{(10-20)^{2}+(22-18)^{2}}$

$d=\sqrt{(-10)^{2}+(4)^{2}}$

$d=\sqrt{116}$

$AE=10.77\ ft$

step 5

Find out the area of the four walls

To determine the area sum the length sides and multiply by the height of the walls

so

$A=(AB+BC+DE+AE)h$

substitute the given values

The height of the walls is 10 ft

$A=(14+16+10+10.77)10$

$A=(50.77)10$

$A=507.7\ ft^2$

step 6

Determine the number of gallons needed to paint the four walls

we know that

one gallon of paint is enough to cover 400 square feet

using proportion

$\frac{1}{400}\ \frac{gal}{ft^2}=\frac{x}{507.7}\ \frac{gal}{ft^2}\\\\x=507.7/400\\\\x= 1.27\ gal$

Round up

$x=2\ gal$

5 0

3 years ago

What is the area of the parallelogram?

Anarel [89]

Answer:

7 and one-half feet squared

Step-by-step explanation:

3 x 2.5 = 7.5

7 0

2 years ago

What is the volume of a cone with a radius of 18 cm and a height of 10 cm? Use 3.14 for pi. Round your answer to the nearest ten

GREYUIT [131]

I hope this helps you

Volume of Cone = 1/3.pi.r^2.h

Volume=1/3.3,14.18^2.10

Volume=10173,6/3

Volume=3391,2

7 0

3 years ago

Read 2 more answers

A survey asked people of different ages whether they get their news by reading the paper. What is the probability that a person

Bingel [31]

C. 60%

The probability that a person surveyed is 40 or older and gets the news by reading the paper is 60%.

Step-by-step explanation:

In our case, we have to find the probability of a person getting their news by reading the paper. But we are given with a condition that the person must be 40 or older.

The survey is conducted among 80 people.

Number of people aged 40 or older = 40

No of people aged 40 or older and read paper = 24

Probability formula is the ratio of number of favorable outcomes to the total number of possible outcomes.

Probability of a person aged 40 or older reads a paper =

(No. of People aged 40 or older and read paper)/(No. of people aged 40 or older)

= 24/40

= 0.6

= 60%

Learn more about probability from brainly.com/question/10694003

#learnwithBrainly

8 0

3 years ago

Read 2 more answers

Please help ASAP!!! THANK YOU SO MUCH

Andrei [34K]

12. Divide total weight by weight of each. 1200 / 1.2 = 1000.
13. Total gas divided by number of cars will give amount of gas per car. 1350 / 100 = 13.5
14. The recipe gives the amount for 10 large bags. In other words, there is 750.2 grams in 10 bags. So divide by 10 to get the amount in 1 bag, which is B

15. Do the same process from 14. for oats and sunflowers, and then add them together. Answer is A
16. This is a bit diffrent but similar idea. Recipie gives for 100 snack sizes. So if we divided sunflower by tht we get 4.505. We need 2 bags however for a total of 9.01 grams. which is D

3 0

3 years ago