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allochka39001 [22]
3 years ago
10

central angle of a sector is 72° and the sector has an area of 16.2(pie) ft^2. what is the radius of the circle?

Mathematics
1 answer:
Cloud [144]3 years ago
6 0
Sector area = (central angle / 360) * PI * radius^2
sector area = (72 / 360) * PI * radius^2
radius^2 = sector area / [(72 / 360) * PI]
radius^2 = 16.2 * PI / [(1 / 5) * PI]
radius^2 = 16.2 / .2
radius^2 = 81
radius = 9

Source:
http://www.1728.org/radians.htm



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Ede4ka [16]

Answer:

  A. 0

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Step-by-step explanation:

A. By definition, the sum of anything and its additive inverse is zero.

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B. If you have trouble with sums, your calculator can help.

  -22 + (-44) = -22 -44 = -66

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C. -36/x = -9 can be solved by multiplying by x and dividing by -9:

  -36 = -9x

  -36/-9 = x = 4

Since the product of the divisor and quotient is the dividend, dividing the dividend by either gives the other. Here, your dividend is -36 and your quotient is -9. To find the divisor, you can divide -36 by -9, as we did.

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D. The absolute value function changes the sign of negative numbers to positive:

  |-998| = 998

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E. If you have trouble with sums, your calculator can help.

  (−2)−[(−3)−(−7)−(−6)]

  = -2 -(-3 +7 +6) = -2 -10 = -12

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3 years ago
What is the value of x?
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x=\frac{160-51}{2} =54.5°

Step-by-step explanation:

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Basically no matter what other circle, secant or tangent you get, you just use the formula Outer\angle=\frac{far.point - near.point}{2}

If you need the outer angle, just put the other angles in and solve

If you need the far or near point angle, re-arrange the formula to get that value.

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What transformation takes the graph of f(x)=3x+8 to the graph of g(x)=3x+6 ?
Nostrana [21]

Answer:

Translation 2 units downward

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3 0
3 years ago
Read 2 more answers
hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same
Sati [7]

Answer:

p(x) and q(x) have the same domain and the same range.

Step-by-step explanation:

p(x) = 6-x and

q(x) = 6x

First of all, let us have a look at the definition of domain and range.

Domain of a function y =f(x) is the set of input value i.e. the value of x for which the function f(x) is defined.

Range of a function y =f(x) is the set of output value i.e. the value of y or f(x) for the values of x in the domain.

Now, let us consider the given functions one by one:

p(x) = 6-x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which p(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

q(x) = 6x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which q(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

Hence, the correct answer is:

p(x) and q(x) have the same domain and the same range.

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