Answer:
2√5 - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Expand by FOIL
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
(√5 + 4)(√5 - 2)
<u>Step 2: Simplify</u>
- Expand [FOIL]: (√5)² - 2√5 + 4√5 - 8
- Combine like terms: (√5)² + 2√5 - 8
- Evaluate exponents: 5 + 2√5 - 8
- Combine like terms: 2√5 - 3
Cut 25 with 5
5x3 = 15
15 = 15
Opposite angles in a cyclic quadrilateral add up to 180 degrees .
So the angle opposite angle A ( that is angle C) must be 180-95 = 85 degrees
Answer:
68 aliens
Step-by-step explanation:
Take the fraction of aliens that had 3 eyes and multiply by the number of aliens
17 / 40 * 160 =
17 * 160/40
17 *4
68
Answer:
The radius of hole is 5 feet
Step-by-step explanation:
Depth of conical hole = 9 feet
Let the radius of hole be r
Volume of conical hole =
So, Volume of conical hole =
We are given that volume of a CONE-shaped hole is 75pi ft cubed.
So,



r=5
Hence The radius of hole is 5 feet