According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 1² + 4²
c² = 1 + 16
c² = 17
c = \( \sqrt{17} \)

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(6ab) + (6a²)(2b)
(8 x 6)(a x a x b) + (6 x 2)(a² x b)
(48)(a¹⁺¹ x b) + (12)(a²b)
48a²b + 12a²b
60a²b

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

4c - 1 = \( \frac{c}{-4} \)
-4 x (4c - 1) = c
(-4 x 4c) + (-4 x -1) = c
-16c + 4 = c
-16c + 4 - c = 0
-16c - c = -4
-17c = -4
c = \( \frac{-4}{-17} \)
c = \(\frac{4}{17}\)

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 51° - 49° = 80°

So, d° = 49° + 80° = 129°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 51° = 129°

The volume of a cylinder is πr²h:

v = πr²h
v = π(8² x 1)
v = 64π