What is -157/20 as a decimal

1 answer:

4 0

$-\frac{157}{20}=-\frac{140+17}{20}=-\left(\frac{140}{20}+\frac{17}{20}\right)=-7\frac{17}{20}\\\\-7\frac{17}{20}\to\ divide\ 17\ by\ 20\to\boxed{-7\frac{17}{20}=-7.85}\\\\other\ way\\\\-7\frac{17}{20}=-7\frac{17\cdot5}{20\cdot5}=-7\frac{85}{100}=\boxed{-7.85}$

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You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage. You are standing on a platfo

coldgirl [10]

Answer:

<em> The distance from your eyes to the stage is 8.85 ft</em>

Step-by-step explanation:

Your distance to the stage is 6 feet

Your eyes are 6.5 feet tall

You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

<u>Observe the attached image.</u>

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

$z ^ 2 = h ^ 2 + x ^ 2\\\\z = \sqrt{h^2 +x^2}$