Answer:
∠F ≈ 53°
General Formulas and Concepts:
<u>Trigonometry</u>
- sin∅ = opposite over hypotenuse
- sin inverse evaluates "backward" to find the measure angle
Step-by-step explanation:
<u>Step 1: Define</u>
Looking at ∠F
opposite leg of ∠F = ED = 8
hypotenuse = FE = 10
<u>Step 2: Find m∠F</u>
- Substitute: sin∠F = 8/10
- Simplify: sin∠F = 4/5
- Take sin inverse: ∠F = sin⁻¹(4/5)
- Evaluate: ∠F = 53.1301°
- Round: ∠F ≈ 53°
14/34 is the fraction probability of picking a clear marble
No, the answers are incorrect.
When reflected over the y-axis, if the x is positive, then it becomes negative, but if the x is negative, then it becomes positive. Also, the y will not change.
The answer should be
X prime: (0,-6)
Y prime: (10,4)
Z prime: (-3,-1)
You are trying to solve for k (get k by itself)
-5k - 19 = 5 - 13k Add 19 on both sides
-5k - 19 + 19 = 5 - 13k + 19
-5k = 24 - 13k Add 13k on both sides
-5k + 13k = 24 - 13k + 13k
8k = 24 Divide 8 on both sides
k = 3
