In the right triangle shown, AC = BCAC=BCA, C, equals, B, C and AB = 12\sqrt{2}AB=12 2 A, B, equals, 12, square root of, 2, end square root. How long are each of the legs?

Given:

ABC is a right triangle and AC = BC

The length of AB is

We need to determine the length of each of the legs.

Length of AC and BC:

Let the length of AC and BC be x.

The length of AC and BC can be determined using the Pythagorean theorem.

Thus, we have;

Substituting the values, we have;

Simplifying, we get;

Dividing both sides by 2, we get;

Taking square root on both sides, we get;

Thus, the length of each legs is 12 units.

Hence, the length of AC and BC are 12 units each.

 1) D

2) C

Step-by-step explanation:

1. The blue algae has an initial mass of 20 kg and doubles its mass every hour. Then after t hours, the mass of blue algae is

2. The green algae has an initial mass of 160 kg and grows at a constant rate of 0.20 kg per minute. Then after t hours (60t minutes), the mass of green algae is

Part I) At t=3:

The mass of green algae has 196-160=36 kg more mass at 3 hours.

Part II) At t=4:

The blue algae has 320-208=112 kg more mass at 4 hours.