Find the length of the missing side. Round to the nearest tenth (one decimal place).

x ≈ 9.4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to find the missing length.

Step 2: Identify Variables

Leg a = 9

Leg b = x

Hypotenuse c = 13

Step 3: Solve for x

Substitute [PT]:                   9² + x² = 13²Isolate x term:                     x² = 13² - 9²Exponents:                          x² = 169 - 81Subtract:                              x² = 88Isolate x:                              x = 2√22Evaluate:                              x = 9.38083Round:                                 x ≈ 9.4

The proportion is 4 : 1,440

Step-by-step explanation:

There are 30 businesses with 4 executives each.

1 business office for each executive.

There are 1440 offices in the building.

We need to find the ratio/proportion of executives to offices.

The number of executive = 4

The number of offices = 1440

Therefore, the proportion of executives to office would be  4 : 1,440