Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation: 6² + x² = (√89)²
- Isolate <em>x</em> term: x² = (√89)² - 6²
- Exponents: x² = 89 - 36
- Subtract: x² = 53
- Isolate <em>x</em>: x = √53
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Answer & Explanation:
For this question, you need to figure out the length and the width because the area is directly related to them (A = l*w).
What we do know is that the perimeter is 36 inches. Since the perimeter is equal to P = 2l + 2w, we can say:
P = 36 = 2(3 + 2w) + 2(w), where the length l is 3 + 2w
Solve for w first, then solve for l. Use these values to find the area.
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C(X)
Only one that's goes up 2 and has a slope of 2/3
Answer:
x = 2.5
Step-by-step explanation:
You have a right triangle, if we use the 67° angle the opposite side is 6 and the adjacent side is x. So we use the tangent formula
Tan θ = opposite / adjacent
adjacent = opposite / Tan θ
x = 6 / Tan 67
x = 2.5
