Answer:
3.32ft
Step-by-step explanation:
The wire and the poles attached to the ground form a right triangle with the length of the wire being the hypotenuse.
Using Pythagoras Theorem:
Hypotenuse²=Adjacent²+Opposite²
6²=5²+x²
x²=36-25
x²=11
x=√11=3.32 ft.
The wires are attached 3.32 ft from the base of the pole on the ground
That’s the problem. Where are the steps?
Answer:
x ≈ 15.0 ft
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Trigonometry</u>
- tan∅ = opposite over adjacent
Step-by-step explanation:
<u>Step 1: Define</u>
Angle = 28°
Opposite leg of angle = 8 ft
Adjacent leg of angle = x ft
<u>Step 2: Find </u><em><u>x</u></em>
- Substitute: tan28° = 8/x
- Multiply <em>x </em>on both sides: xtan28° = 8
- Divide tan28° on both sides: x = 8/tan28°
- Evaluate: x = 15.0458
- Round: x ≈ 15.0 ft
Answer: (B) The price elasticity of demand for good Z = 0.86
Step-by-step explanation:
The formula for determining elasticity of demand by using the midpoint method is
(Q2 - Q1)/[(Q2 + Q1)/2] / (P2 - P1)/[(P2 + P1)/2]
Where
P1 is the initial price of the item.
P2 is the final price of the item.
Q1 is the initial quantity demanded for the item.
Q2 is the final quantity demanded for the item.
From the information given,
P1 = 10
P2 = 15
Q1 = 85
Q2 = 60
The price elasticity of demand for good Z = (60 - 85)/[(60 + 85)/2] / (15 - 10)/[(15 + 10)/2]
= (-25/72.5) / (5/12.5) = -25/72.5 × 12.5/5
= - 312.5/362.5 = - 0.86
