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.

(9a)(6ab) + (6a²)(3b)
(9 x 6)(a x a x b) + (6 x 3)(a² x b)
(54)(a¹⁺¹ x b) + (18)(a²b)
54a²b + 18a²b
72a²b

The volume of a cylinder is πr²h:

v = πr²h
v = π(5² x 1)
v = 25π

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° - 54° - 58° = 68°

So, d° = 58° + 68° = 126°

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° - 54° = 126°

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 6 x 6 = \( \frac{36}{2} \) = 18