The answer is
tan42 = x / 5, so x = 5 <span>tan42 = 4.5
the answer is </span><span>4.5</span>
- 81 %
Step-by-step explanation:
To find the percentage change;
([Current – Initial] / Initial) * 100
([14 - 75] / 75) * 100
(-61 / 75) * 100
(-0.81333) * 100
= - 81.3333 %
To the nearest percentage;
= - 81 %
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- The number of vertical pieces will be 28. Then the correct option is A.
- The number of horizontal pieces will be 600. Then the correct option is B.
<h3>What is decision-making?</h3>
The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
Horizontal pieces can be produced at a rate of 200 per labor hour.
A carpenter uses 500 horizontal pieces and 22 vertical pieces while making racks for an hour.
You have 900 horizontal pieces and 50 vertical pieces in stock right now.
For the next hour, you assign Juan to rack making, Debbie to trim making, and both mike and stan to horizontal piece production.
1. Then at the end of the next hour, the number of vertical pieces available in stock will be
→ 50 - 22
→ 28
Thus, the number of verticle pieces will be 28.
2. Then at the end of the next hour, then the number of horizontal pieces available in stock will be
→ 900 + 200 - 500
→ 600
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Answer:
The area of the tablecloth showing is approximately 45.55 square feet
Step-by-step explanation:
The diameter of the dinner table, D = 8 feet
The diameter of each plate, d = 1 feet
The number of people at the dinner table = 6 people
The number of plates = 6 plates
The area of the table cloth, A₁ = π·D²/4
∴ A₁ = π × 8²/4
The area covered by the 6 plates, A₂ = 6·π·d²/4
A₂ = 6 × π × 1²/4
Let 'A' represent the area of the tablecloth showing when the table is set for six people, we have;
A = A₁ - A₂
∴ A = π × 8²/4 - 6 × π × 1²/4 ≈ 45.55 ft.²
The area of the tablecloth showing when the table is set for six people, A ≈ 45.55 ft.²
Answer:
Part a) The equation for the volume of the film canister is
Part b) The radius of the film canister is 
Step-by-step explanation:
<u><em>The complete question is</em></u>
A film canister in the shape of a cylinder has a height of 8 centimeters and a volume of 32π cubic centimeters.
a. Write an equation for the volume of the film canister.
b. What is the radius of the film canister?
Part a) Write an equation for the volume of the film canister
we know that
The volume of a cylinder is equal to
where
r is the radius of the circular base
h is the height of the cylinder
we have
substitute
----> equation for the volume of the film canister
Part b) What is the radius of the film canister?
we have
Simplify
Divide by 8π both sides
square root both sides
