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Leona [35]
3 years ago
12

A windmill has eight equally spaces blades that rotate in the clockwise direction How many degrees must blade P rotate to reach

location blade U?
a
225 degrees
b
45 degrees
c
120 degrees
d
180 degrees

Mathematics
1 answer:
Reil [10]3 years ago
8 0

Answer:

Option (A)

Step-by-step explanation:

Windmill is in the shape of a circle and each blade of the windmill is equally spaced.

There are 8 spaces in the windmill shown.

Therefore, angle between each blade = \frac{360}{n}

Where n = number of blades

Angles between each blade = \frac{360}{8}

                                               = 45°

To reach the position of blade U by blade P will cover 5 angles between the blades.

Therefore, angle of rotation covered by P to reach U = 5×45° = 225°

Option (A) will be the correct option.

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21 and 22 are complementary angles. The measure of Z1 is 45 The measure of Z2 is 3x°. Find the value of x. The figure is not dra
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Answer:

  x = 15

Step-by-step explanation:

<u>Given</u>:

  ∠1 + ∠2 = 90°

  ∠1 = 45°

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<u>Find</u>:

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<u>Solution</u>:

  Using the given values in the given equation, we have ...

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  x = 15 . . . . . . . . . . . subtract 15

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|1/2b-8|=|1/4b-1|<br> b=____ and ____
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Answer:

  b = 12 and 28

Step-by-step explanation:

The absolute value equation |1/2b-8| = |1/4b-1| resolves to a piecewise linear function with three pieces. There are two solutions.

<h3>Domains</h3>

The absolute value function on the left has a turning point where its value is zero:

  1/2b -8 = 0

  b -16 = 0

  b = 16

The absolute value function on the right has a turning point where its value is zero:

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  b -4 = 0

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For b > 16, both absolute value functions are identity functions. In this domain, the equation is ...

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For b < 4, both functions negate their arguments, so the equation in this domain is ...

  -(1/2b -8) = -(1/4b -1)

For the purpose of finding the value of b, this is effectively identical to the equation for b > 16. (The value of b does not change if we multiply both sides of the equation by -1.)

<h3>Solutions</h3>

<u>Domain b < 4 ∪ 16 < b</u>

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This solution is in the domain of the equation, so is one of the solutions to the original equation.

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  -(1/2b -8) = 1/4b -1 . . . . equation in this domain

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<h3>Graph</h3>

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__

<em>Additional comment</em>

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Then the solutions are the values of b that make g(b) = 0.

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2 years ago
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