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lbvjy [14]
3 years ago
5

The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. A wind speed of 37 miles per ho

ur produces a power output of 750 kilowatts. Find the output for a wind speed of 40 miles per hour.
Mathematics
1 answer:
vfiekz [6]3 years ago
6 0

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

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Answer:

$70

Step-by-step explanation:

Middletown Equation:

1c +50 = T

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2c + 30 = T

Set equations equal to one another and solve for first for cupcakes then for cost.

1c + 50 = 2c + 30

c+ 20 = 2c

20 = c (twenty cupcakes would be ordered)

Now insert into either equation ( or both to check)

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Total cost would be $70

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4 0
2 years ago
In the triangle EFG,
MariettaO [177]

Answer:

4.\ \sin E = \cos G

Step-by-step explanation:

Given

\triangle EFG

\angle F = 90^o --- right angle

Required

Which of the options is true

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\angle E + \angle F + \angle G = 180^o --- angles in a triangle

Substitute \angle F = 90^o

\angle E + 90^o + \angle G = 180^o

Collect like terms

\angle E + \angle G = 180^o -90^o

\angle E + \angle G =90^o

This implies that E and G are complementary angles.

For complementary angles, E and G;

\sin E = \cos G and \sin G = \cos E

<em>Hence, (4) is true</em>

7 0
3 years ago
What value of x and y will make the polygon a parallelogram?
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That being the case,
6x = 72

x = 12

AND

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72 -5 = 67

y=67
x = 72

and the diagonals measure
144 and 134
 

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