Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.
Step-by-step explanation:
The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that
P is directly proportional to S
Introducing a constant of proportionality, k, it becomes
P = kS
A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that
750 = k × 37
k = 750/37 = 20.27
The expression becomes
P = 20.27S
Therefore, the output for a wind speed of 40 miles per hour would be
P = 20.27 × 40
P = 810.8
Answer:
1) A = 547.1136, C = 82.896
2) A = 678.5226, C = 92.316
3) A = 844.5344, C = 102.992
4) A = 1554.49625, C = 139.73
5) A = 1561.4906, C = 140.044
6) A = 994.8776, C = 111.784
Step-by-step explanation:
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Answer:
The school baseball team sold 270 tickets
Step-by-step explanation:
Step 1
Identify the total amount of tickets sold by each player;
1 player=1 book of tickets
But 1 book=10 tickets
Step 2
Express the total cost of ticket sales per book as follows;
total cost=cost per ticket×number of tickets per book
where;
cost per ticket=$3
number of tickets per book=10
replacing;
total cost=(3×10)=$30
Step 3
Using the expression below, solve for the number of tickets sold
Total amount raised=price per ticket×number of tickets sold
where;
total amount raised=$810
price per ticket=$3
number of tickets sold=n
replacing;
810=3×n
3 n=810
n=810/3=270
n=270
The school baseball team sold 270 tickets
<em>86.20 ft²</em>
- Step-by-step explanation:
<em>Hi there !</em>
<em>A = A₁ + A₂</em>
<em>A₁ =semicircle</em>
<em>A₁ = πr²/2</em>
<em>r = d/2 = 6.4ft/2 = 3.2 ft</em>
<em>A₁ = 3.14×(3.2ft)²/2 ≈ 32.15 ft²</em>
<em />
<em>A₂ = trapezium</em>
<em>A₂ = (b + B)×h/2</em>
<em>A₂ = (5.1ft + 6.4ft)×9.4ft/2 = 54.05 ft²</em>
<em />
<em>A = 32.15 ft² + 54.05 ft² = 86.20 ft²</em>
<em>Good luck !</em>