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faltersainse [42]
3 years ago
10

Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.

Mathematics
1 answer:
kodGreya [7K]3 years ago
4 0

Volume of the pyramid = (1/3) x Area of the base x Height ---------- (1)

As the base length = 5 feet

So Area of the base = 5 x 5 = 25 square feet

While volume of the pyramid = 75 cubic feet

Putting values in equation (1);

75 = (1/3) x 25 x Height

Height = (75 x 3) / 25

Height = 9feet

<span>So 2nd option is correct.</span>

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Explanation:

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\begin{gathered} d)\text{ rate of change = }\frac{change\text{ in output }}{\text{change in input}} \\ \text{rate of change = }\frac{-5-(-15)}{0-(-2)}\text{ = }\frac{10-(-5)}{3-0}\text{ = }\frac{15-10}{4-3} \\ \text{rate of change = }\frac{10}{2}\text{ = }\frac{15}{3}=\frac{5}{1} \\ \text{rate of change = 5} \end{gathered}\text{output = input + 5}

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

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Next, we shall obtained the value of x from x + 2. This is illustrated below:

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