Find the measure of the side of the right triangle whose length is designated by the lower case letter c. a right triangle has a vertical left leg labeled 18 meters with an opposite vertex labeled upper a, a horizontal bottom leg with an opposite vertex labeled upper b, and a hypotenuse that falls from left to right labeled c with an opposite vertex labeled upper c. the measure of the angle at vertex a is 38 degrees and the measure of the angle at vertex c is 90 degrees. a b c 38 m c

The answer is 29,2368 m

Step-by-step explanation:

In this case we have a right triangle and we know one side (in this case is the vertical side) and the measure of an angle different from the angle of 90 degrees, so we can solve this triangle, i.e. we can find the measure of any side (and of any angle too).

Remember that in a right triangle, labeled as in the question, we have that the vertical side is in fact the opposite leg of the angle A. So we have the following  trigonometric ratio:

Solving the last equation for c we have

Using a calculator (don't forget to put the calculator in Deg mode) we have that the measure of the side c is 29,2368 m.

5

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.