The speed of an elevator varies inversely with the weight it carries. if the elevator rises at 10 feet per second when it carries 400lbs, how fast will it rise when it carries 500lbs?

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form or

Let

x-----> the speed of the elevator

y----> the weight it carries

so

Find the constant k

For x=10 ft/sec, y=400 lb

substitute

The equation is

Find the speed for y=500 lb

substitute in the equation

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

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step-by-step explanation: