1. A right triangle has a hypotenuse of length 10 yd and one leg of length 2 yd.

How long is the other leg?

a.) 2√2yd

b.) 8 yd

c.) 4√ 6 ydright answer

d.) 16√6 yd

2. Solve the equation using inverse functions.

e^4x =11

Enter your answer rounded to the nearest tenth answer was 0.6

Question 1.

The Pythagoras Theorem states that the square of the hypotenuse is equal to the sum of the square of the two legs.

From the question, the hypotenuse is h=10 yd and one of the legs is 2yd.

This implies that,

Evaluate the exponents

Subbtract 4 from each side

The correct answer is C

Question 2

We want to solve

using inverse functions.

The inverse of an exponential function is a logarithmic function.

We take natural log of both sides to get;

Recall that

This means

Logarithm of the base is 1

Divide both sides by 4