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Kaylis [27]
2 years ago
10

Adam has a playhouse in his backyard that is shaped like a square prism with a squarepyramid for the roof. What is the volume of

his playhouse if the house is 3 ft x 3 ft x 5 ft high and the roof is 3 ft x 3 ft x 2 ft high
Mathematics
1 answer:
Ainat [17]2 years ago
5 0

Answer:

51 cubic feet

Step-by-step explanation:

This is basically a rectangular prism + pyramid.

Volume of rectangular prism = length * width * height

Volume of square pyramid = 1/3 * area of base * height

The rectangular prism's dimensions are 3 x 3 x 5 ,  so volume = 3*3*5 = 45

The pyramid's base is a square with side 3, so area of base = 3 * 3 = 9

The height is 2, we find the volume using the formula stated above as:

1/3 * 9 * 2 = 6

Volume of Playhouse = volume of rectangular prism + volume of pyramid

Volume of Playhouse = 45 + 6 = 51 cubic feet

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The area on a wall covered by a rectangular poster is 270 square inches. The length of the poster is 1.2 times longer than the w
forsale [732]

Answer:

Length = 18 in

Width = 15 in

Step-by-step explanation:

We have that the area of a rectangle is:

A = L * W

but L = 1.2 * W

A = 1.2 * (W ^ 2)

1.2 * (W ^ 2) = 270

(W ^ 2) = 270 / 1.2

W ^ 2 = 225

Therefore, W is equal to:

W = 225 ^ (1/2)

W = +/- 15, but only +15 makes sense

W = 15

Now for L:

L = 1.2 * 15

L = 18

A = 15 * 18 = 270 in ^ 2

4 0
2 years ago
I need help plz help
ivanzaharov [21]

Answer:

B. 70%

Step-by-step explanation:

7/10 of the numbers are more than 5

7/10= 70%

5 0
2 years ago
Read 2 more answers
What multiplier do we use to increase by 72%
Deffense [45]

Answer:

1.72

Step By Step:                                

5 0
3 years ago
3z^2-4z+11 -(12z^2+2z-11 find the difference . polynomials functions
Brrunno [24]

Answer:

−135z

2

−2z
The 2 is representing Square

Step-by-step explanation:

(3z)
2

−4z+11−(12z)
2

+2z−11

Expand (3z)

2

.

3

2

z

2

−4z+11−(12z)

2

+2z−11

Calculate 3 to the power of 2 and get 9.

9z

2

−4z+11−(12z)

2

+2z−11

Expand (12z)

2

.

9z

2

−4z+11−12

2

z

2

+2z−11

Calculate 12 to the power of 2 and get 144.

9z

2

−4z+11−144z

2

+2z−11

Combine 9z

2

 and −144z

2

 to get −135z

2

.

−135z

2

−4z+11+2z−11

Combine −4z and 2z to get −2z.

−135z

2

−2z+11−11

Subtract 11 from 11 to get 0.

−135z

2

−2z

6 0
1 year ago
The preimeter of a rectangle is 50 inches. The width of the rectangle is 10 inches. What is the length of the rectangle?
Montano1993 [528]
Perimeter = 2(L + W)
2(L + 10) = 50
2L + 20 = 50
2L = 30, L = 15
Solution: the length is 15 inches
6 0
2 years ago
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