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Kaylis [27]
3 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]3 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 floor of a triangular room has an area of 32 1/2 sq.m. If the triangle’s altitude is 7 172 m, write an equation to determine
sineoko [7]

Answer:

\frac{(2)A}{h} =b

b=0.00906m

Step-by-step explanation:

Hello! To solve this exercise we must remember that the area of ​​any triangle is given by the following equation

A=\frac{bh}{2}

where

A=area=32.5m^2

h=altitude=7172m

b=base

Now what we should do take the equation for the area of ​​a rectangle and leave the base alone, remember that what we do on one side of the equation we must do on the other side to preserve equality

A=\frac{bh}{2} \\\frac{2}{h} A=\frac{bh}{2} \frac{2}{h} \\

\frac{A(2)}{h} =b

solving

\frac{2(32.5)}{7172} =0.0090[tex]\frac{A(2)}{h} =b\\b=0.00906m

4 0
3 years ago
PLEASE HELP!!This is joshs solution for the equation x^2-6x-7=0: x^2-6x-7=0
iren [92.7K]

Answer:

  no. see below

Step-by-step explanation:

This much of Josh's working is correct:

  x^2-6x=7

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At this point Josh apparently overlooked the fact that he needed to take the square root of both sides of the equation. Had he done that, he would have ...

  x -3 = ±4

  x = 3+4 . . . or . . . 3 -4

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_____

Josh reported values of x that would match ...

  x -3 = ±16

He <em>violated the equal sign</em> by taking the square root on the left, and multiplying by ±1 on the right. Doing different operations on the two sides of the equation will mean the value of x is changed to something other than what you're looking for.

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2 years ago
How do you multiply 6 times 298 with friendly numbers
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298 times 6 is 1788 idk what you mean by friendly numbers
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Rashid [163]
They share a horizontal asymptote at y=-.5

Answer is B
3 0
3 years ago
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