I need help please and thank you

Pythagorean Theorem Formula: a^2 + b^2 = c^2

We are solving for b of the triangle.

Steps to solve:

10^2 + b^2 = 15^2

~Solve for the exponents

100 + b^2 = 225

~Subtract 100 to both sides

100 - 100 + b^2 = 225 - 100

~Simplify

b^2 = 125

~Take the square root of both sides

√b^2 = √125

~Simplify

b = 11.1803398875

~Round to the nearest tenth

11.1803398875 → 11.2

Hence, the length of "b" is 11.2

Best of Luck!

11.2

Step-by-step explanation:

The Pythagorean theorem means that in a right triangle the hypotenuse (the longest side, opposite the right angle) squared equals the sum of the squares of the other two sides.

Therefore

or

Now, all you have to do is find the square root of 125

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)