Mathematics: The volume of a prism is 18 cubic inches. What is the volume of a pyramid with the same base and height?

Step-by-step explanation:The diagram is drawn an attached.First, we determine the hypotenuse using Pythagoras TheoremNext, we determine the value of the given trigonometric ratios.From the above, we see that:...

The volume of a prism is 18 cubic inches. What

Ответ:

TravKeepIt100

04.01.2020

Mathematics

$\sin x^\circ=\cos y^\circ$

Step-by-step explanation:

The diagram is drawn an attached.

First, we determine the hypotenuse using Pythagoras Theorem

$Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=3^2+4^2\\Hypotenuse^2=25\\Hypotenuse^2=5^2\\Hypotenuse=5$

Next, we determine the value of the given trigonometric ratios.

$\sin x^\circ=\dfrac{\text{Opposite of x}}{Hypotenuse} \\\sin x^\circ=\dfrac{4}{5}$

$\cos y^\circ=\dfrac{\text{Adjacent of y}}{Hypotenuse} \\\cos y^\circ=\dfrac{4}{5}$

From the above, we see that: $\sin x^\circ=\cos y^\circ$

Use the image below to answer the following question. Find the value of sin x° and cos y°. What rela

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The volume of a prism is 18 cubic inches. What is the volume of a pyramid with the same base and height?

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