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Flauer [41]
3 years ago
10

The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

volume = 13500 cm^{3}

Step-by-step explanation:

For a given pyramid, its volume can be determined by:

volume of pyramid = \frac{lwh}{3}

Where: l is the base length, w is the base width and h id the height of the pyramid.

For the given question, l 30 cm, w = 30 cm and h = 45 cm.

So that,

volume = \frac{30*30*45}{3}

            = \frac{40500}{3}

            = 13500

volume = 13500 cm^{3}

The volume of the pyramid is 13500 cm^{3}.

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The rectangle is 16 inches by 25 inches. If the scale is 4 in :5 ft what is the length and width of the rectangle in feet.
Alenkasestr [34]

Answer:

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

Step-by-step explanation:

Let the scale be 4\,in\,:\,5\,ft and the dimensions of the rectangle being 4 inches and 5 inches, respectively. The scale (r), measured in inches per feet, is equivalent to the following rational number:

r = \frac{4\,in}{5\,ft}

We can convert each length by dividing it by scale factor. That is:

Length

l' = \frac{16\,in}{\frac{4\,in}{5\,ft} }

l' = 20\,ft

Width

w' = \frac{25\,in}{\frac{4\,in}{5\,ft} }

w' = 31.25\,ft

The length and width of the rectangle are 20 feet and 31.25 feet, respectively.

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Mnenie [13.5K]

Function:

y = -2/3 x + 7

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Step-by-step explanation:

f(x)=g(x)-1 since was shifted down 1 unit                                        x^3-1

f(x)=g(x)+1 would have been a shift up of 1 unit                             x^3+1

f(x)=g(x-1) shifted right 1 unit                                                            (x-1)^3

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8 0
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