Answer:
b = 48 yards
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
- Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 64
Hypotenuse <em>c</em> = 80
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: x² + 64² = 80²
- Isolate <em>x</em> term: x² = 80² - 64²
- Exponents: x² = 6400 - 4096
- Subtract: x² = 2304
- Isolate <em>x</em>: x = √2304
- Evaluate: x = 48
Answer:
<h2>1/2⁷</h2>
Step-by-step explanation:
1/2 is multiplied by itself 7 times, thus an exponent of 7.
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Answer:
88 u²
Step-by-step explanation:
The formula for the area of a trapezoid is:
A = 
where h = height and 
=length of one base and 
=length of the other base.
Given the measurements in the diagram:
h = 4 units
= 17 units
= 17 + 5 + 5 = 27 units
Plug them into the equation: A = 
(4)(17 + 27) = 88 units²
Answer:
A
Step-by-step explanation:
Given
p² - 16 = 0 ( add 16 to both sides )
p² = 16 ( take the square root of both sides )
p = ± 
= ± 4
Thus solution is { - 4, 4 } → A
