A builder is building a rectangular deck with dimensions of 16 feet by 30 feet. To ensure that the sides form 90° angles, what should each
diagonal measure?

Each diagonal should measure 34 feet to ensure that the sides form 90°

Step-by-step explanation:

The relation between the diagonal of the rectangle and its length and width is D = ⇒ Pythagoras Theorem

∵ A builder is building a rectangular deck with dimensions of 16 feet

   by  30 feet

∴ L = 16 feet

∴ W = 30 feet

→ By using the Pythagoras Theorem above to find its diagonal

∵ D =

∴ D =

∴ D =

∴ D = 34 feet

→ The diagonals of the rectangle are equal

∴ The length of each diagonal of the rectangle = 34 feet

Each diagonal should measure 34 feet to ensure that the sides form 90°

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3