MATH
NATION
An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points A(15,21);
B(8,21); C(8,10); D(13,8); E(19,14.5), shown in feet. The walls are 11 feet high.
The museum is going to paint four of the walls: AB, BC DE, and AE. Assume one gallon of paint is enough to cover 147
square feet
How many gallons of paint should the museum purchase? Enter your answer as a whole number.
12
1

MATHNATIONAn Art Museum Has A Pentagon-shaped Room. When Drawn To Scale On A Coordinate Grid, The Corners

Answers

Answer 1

9514 1404 393

Answer:

  3 gallons

Step-by-step explanation:

When calculations are repetitive, I find it convenient to use a spreadsheet to do them. The formulas used are ...

  distance between points (x1, y1) and (x2, y2) = √((x2-x1)² +(y2-y1)²)

  length of walls to be painted: AB +BC +DE +EA = 34.5 ft

  area of walls to be painted: (length)(11 ft) = 379.3 ft²

  gallons of paint needed: area/(147 ft²/gallon) = 2.6 gal

About 3 gallons of paint are needed to paint 4 walls of the room.

MATHNATIONAn Art Museum Has A Pentagon-shaped Room. When Drawn To Scale On A Coordinate Grid, The Corners

Related Questions

help help help
Find d
A. 74
B. 14
C. 16
D. 76

Answers

Answer:

D

Step-by-step explanation:

b/c 90 - 14 = 76 .........

Question 7 of 10
Which of the following can you determine, when you use deduction and start
from a given set of rules and conditions?
A. None of these
B. What must be true
C. What may be false
D. What may be true

Answers

Answer:

what may be true

Step-by-step explanation:

i just took the test and got the answer correct, i hope this helps.

What is the probability of getting two heads and 1 tail

Answers

There is a 1/3 chance. Because there are 3 coins

Answer:

1/2

please mark me brainliest

a. Solve x + 9 = x + 9. b. If you simplify an equation and get 0 = 0, what can you conclude about the solution(s) of the original equation? a. Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. (Simplify your answer.) O B. The solution is all real numbers. O C. There is no solution.​

Answers

My friend told me the answer is 57

expand or simplify
3c(5+c) -2(3c-7)​

Answers

3c(5+c) -2(3c-7)
15c+3c^2-6c+14
9c+3c^2+14

Answer:

It is 3c² + 9c + 14

Step-by-step explanation:

[tex]3c(5 + c) - 2(3c - 7)[/tex]

open the brackets:

[tex] = (15c + 3 {c}^{2} ) - (6c - 14) \\ = (15c + {3c}^{2} ) - 6c + 14[/tex]

express in quadratic equation:

[tex]3 {c}^{2} + 9c + 14[/tex]

<333
The owner has 8 employees. Seven of them
earn $ 210, $200, $190, $180, $300, $150,$90 a
day. What does the 8th employee get paid, if the
average pay for all 8 employees is $200?

Answers

(210+200+190+180+300+150+90+x)/8=200
(1320+x)/8=200 /*8
1320 +x=1600
X=1600-1320
X= 280

Given that
AB - BC
3, complete the statements to
DE EF
show that AABC - ADEF by the SAS similarity
theorem.
Horizontal and vertical lines are
So, angles
are right angles by definition of
perpendicular
lines.
All right angles are
Therefore, AABC - ADEF by the SAS similarity
theorem.

Answers

Answer:

Horizontal and vertical lines are perpendicular. So angles B&E .All right angles are 90°.

i hope you're helped

Horizontal and vertical lines are perpendicular. So, angles B and E are right angle by definition of perpendicular lines. All right angles are 90°/congruent/equal.

What are Similar Triangles?

Two triangles are said to be similar if the triangles are of the same shape but different size. The angles of the triangle will be equal and the sides are proportional.

Given are two triangles ABC and DEF.

Two triangles are similar if all the corresponding angles are equal and the corresponding sides are proportional.

Here, given that,

AB / DE = BC / EF = 1 / 2.

So, two corresponding sides are proportional.

SAS similarity postulate is that, if two corresponding sides of two triangles are proportional and the corresponding included angle is congruent, then the two triangles are similar.

So we have to prove included angle B and E are equal.

A horizontal and vertical lines are always perpendicular.

Here B and E are formed by a horizontal and a vertical line.

So they are right angles.

All right angles are 90°. So they are equal or congruent.

So Triangles ABC and DEF are similar by SAS.

Learn more about Similar Triangles here :

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Write 28.63 in expanded notation and word form.

Answers

Answer:

Answer below

Step-by-step explanation:

Expanded form : 20 + 8 + 0.6 + 0.03

Expanded form is a way of writing numbers to see the individual math value of digits.

Word form: twenty eight point six three.

HOPE THIS HELPED

Compare: 7/20 O 35%

who answers first get brainlest

Answers

Step-by-step explanation:

7/20

=0.35

35%

=35/100

=0.35

Hence, 7/20=35%

What is the value of the expression 4x^3 – 3x when x = 6?

Answers

X=6,
4(6)^3 - 3(6)
4*(216)- 18
864 - 18
=846.


Hope it helped!

The overall direction of this data is __________. The strength of the association is __________. a.) positive; strong

Answers

Answer:

The overall direction of this data is positive. The strength of the association is strong

Step-by-step explanation:

it might be that the data could be negative and not positive

the strength is perfectly strong

base on the whole statement so

hope that helps>3

The overall direction of the data is positive also the strength of the association is strong.

What is an arithmetic operation?

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

The overall trend of the data is positive, and the association is strongly correlated.

To know more about arithmetic operations:

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Kayla Koolbeck has $37.60 un her checking account. She uses her debit card to make purchases of $25.99 and $19.34, which overdraws his account. His bank charges her account antes overdraft Dee of $25.00. She then deposits her paycheck for $58.66 from her part-time job ay Subway. What is the balance in ver account?

Answers

Answer:

33.66

Step-by-step explanation:

What is 12 divided by 2/5?

Answers

Answer:30

Step-by-step explanation:

please help me, if you help then thanks!

Answers

Answer:

B. [tex] {a}^{ - 7 - 10} [/tex] (second option)

Step-by-step explanation:

[tex] \frac{ {a}^{ - 7} }{ {a}^{10} } [/tex]

[tex] {a}^{ - 7 - 10} [/tex]

[tex] - 7 - 10 = - (7 + 10) = - 17[/tex]

If a=2, b=3 and c=4 then find the numerical value of a2+2abc+b2+c2

Answers

a=2 b=3 and c=4. then,

a2+2abc+b2+c2

a2+2abc+b2+c2= 2^2+2×2×3×4+3^2+4^2

(replace value of a, b, c by2,3,4 respectively tgen solve)

= 4+48+9+16

= 77

Therefore, 77 is correct answer.

If no sides of a triangle have the same length, the triangle is called scalene
(pronounced SKAY-leen). And, as you might remember, if the triangle has at
least two sides that are the same length, the triangle is called isosceles. Use the
markings or description in each diagram below to decide if AABC is isosceles or
scalene. Assume the diagrams are not drawn to scale.

Answers

Answer:

a. isosceles

b. isosceles

c. scalene

11/13 = v/7 round to the nearest tenth​

Answers

Answer:

5.9

Step-by-step explanation:

If you’re trying to find v, well here is the right answer:

5.9

Step 1. Multiply 7 by 11

Step 2. Then divide it by 13

Answer should be 5.9

An equation is shown below: 4x+2(x-3) = 4x+2x-11 Solve the equation and write the number of solutions. Name one property you used to solve this equation

Answers

Answer:

4x + 2(x - 3) = 4x + 2x - 11 4x + 2x - 6 = 4x + 2x - 11 6x - 6 = 6x - 11 6x - 6x = -11+ 6 O = -5...incorrect...this has no solution...0 solutions one property used was the distributive property :2(x - 3) = 2x - 6

Find two rational numbers between the root of 2 and root 3​

Answers

9514 1404 393

Answer:

  1.5 and 1.6

Step-by-step explanation:

√2 ≈ 1.41421356...

√3 ≈ 1.7320508...

1.5 and 1.6 are between these numbers

__

If you need the ratio of integers, these numbers are 3/2 and 8/5.

What number is 1/2 of 3/4

Answers

Answer

1.5/4

Step-by-step explanation:

your phone bill is N42. It increases by 10% after 12 months, and a further 20% increase is applied six months later. What’s the price of your phone bill after 18 months?

Answers

9514 1404 393

Answer:

  N55.44

Step-by-step explanation:

The bill is multiplied by 1+10% = 1.10 after the first increase. The second increase multiplies that by 1+20% = 1.20. After 18 months, the bill is ...

  N42 × 1.10 × 1.20 ≈ N55.44 . . . . price after 18 months

Where would you find the point (-10,0)

Answers

You would find this point at -10 on the left side of the x-axis relative to the origin.

Answer:

Step-by-step explanation:

the x axis

Area
Exercise 5.2
1. Calculate the perimeter and area of the
rectangle with the following sides
a) length = 10 cm; width 6 cm
b) length - 8 cm; width = 6 cm
c) length 11 cm; width=10 cm
d) length = 20 cm; width=15cm

Answers

Answer:

perimeter=2(l+w).

2(10+6)

2(16)

32cm.

b)2(8+6)

2(14)

28

c)2(11+10)

2(21)

42.

d)2(20+15)

2(35)

70.

5. Name the property of real numbers illustrated by the equation. (1 point)

Answers

Answer:

distributive property

What is the volume of the rectangular solid?
12 cubic feet
15 cubic feet
5 ft
25 cubic feet
50 cubic feet
2 ft
5 ft
Mark this and retum
Save and Exit
Next
Submit

Answers

Answer:

I need to see the rectangular solid

Hurry will mark brainiest . There are seven nickels and five dimes in your pocket. Three times, you randomly pick a coin out of your pocket, return it to your pocket, and then mix-up the change in your pocket. All three times, the coin is a nickel. Find the probability of this occurring.
A. 343/1728
B. 1/22
C. 1/8
D. 25/546

Answers

Answer: A. 343/1728

Step-by-step explanation:

All you have to do is multiply (or, in this case, cube) both the numerator and denominator to get the probability.

[tex]\frac{7^{3} }{12^{3} }[/tex] or [tex]\frac{7*7*7}{12*12*12}[/tex]

Solve each equation.
3a - 7 = 26
A=

Answers

Answer:

a = 11

Step-by-step explanation:

One is given the following equation:

3a - 7 = 26

Use inverse operations to solve this equation:

3a - 7 = 26

(add (7) to both sides)

3a = 26 + 7

Simplify,

3a = 26 + 7

3a = 33

Inverse operations,

3a = 33

(divide both sides by (3))

a = 33 / 3

Simplify,

a = 11

What is the arc length of arc cd in the circle below. The circle has a radius of 6ft and an angle measure of 30

Answers

9514 1404 393

Answer:

  π ft ≈ 3.14 ft

Step-by-step explanation:

The angle is 1/12 of the number of degrees in a circle, so the arc length will be 1/12 of the circumference of the circle.

 C = 2πr

 1/12C = 2/12π(6 ft) = π ft ≈ 3.14 ft

The arc length is about 3.14 feet.

whats equivalent to (4r+ 3) +(-2r+ 4)

Answers

Answer:

2r+7

Step-by-step explanation:

(4r+3)+(−2r+4)

Combine 4r and −2r to get 2r.

2r+3+4

Add 3 and 4 to get 7.

2r+7

:)

~ 4r-2r= 2r
~ 3+4=7
answer : 2r+7

Rewrite 14 / 25 and 11 / 20 so that they have a common denominator

Answers

The fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

The given parameters include:

[tex]\frac{14}{25} \ and \ \frac{11}{20}[/tex]

To rewrite the given fractions to have the same denominator, we must find the LCM of the denominators;

The prime factorization of 25 = 5²

The prime factorization of 20 = 5 x 2²

The LCM of the two numbers = 5² x 2²  = 25 x 4 = 100

The fractions can rewritten as follows;

[tex]\frac{14}{25} \ = \frac{14}{25} \times \frac{4}{4} = \frac{14 \times 4}{25 \times 4} = \frac{56}{100} \\\\\frac{11}{20} \ = \frac{11}{20} \times \frac{5}{5} = \frac{11 \times 5}{20 \times 5} = \frac{55}{100}[/tex]

Thus, the fraction equivalent of the given fractions with the same denominator is written as [tex]\frac{56}{100} \ and \ \frac{55}{100}[/tex]

Learn more here: https://brainly.com/question/17248258

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