In right triangle ABC, with right angle at C, AC=5 and BC=12. Find the value of (sin A)^2+ (sin B)^2

Step-by-step explanation:

Look at the picture.

We need the hypotenuse. Use the Pythagorean theorem:

Substitute

For angle A we have

Substitute:

For angle B we ahve

Substitute:

Substitute to given expression:

You can also see a relationship:

Therefore

It's a Pythagorean identity:

Therefore

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

step-by-step explanation: