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OLga [1]
3 years ago
8

What is the arc length if the radius of the circle is 15 and the angle og the sector id 90 degrees

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0

<u>Answer:</u>

P = 53.6 square cm

<u>Step-by-step explanation:</u>

We know that the measure of an arc of a sector is given by: P=\theta r+2r

Where \theta  is the angle of the arc of the sector (radian) while r is the radius of the circle.

Here, \theta = 90°=\frac{\pi }{2}.

Substituing the given values to get:

P=\frac{\pi}{2}(15)+2\times 15

P = 53.6 square cm

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I think it would be A

Step-by-step explanation:

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3 years ago
What is the measurement
Blizzard [7]

Answer:

X=135 degrees

Step-by-step explanation:

the total interior angle of a triangle is 180.

To work this out you would first add the interior angles of B which is 69 and the interior angle of C which is 66, which gives you 135.

The next step is to minus 135 from 180, which gives you 45. This is because the total interior angle of a triangle is 180.

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1) Add the angles of 69 and 66.

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2) Minus 135 from 180.

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3 0
3 years ago
The Atlanta Braves baseball team has a mean batting average of 250 with a standard deviation of 20. Assume the batting averages
nignag [31]

Answer:

68 %

Step-by-step explanation:

Since we have our mean x = 250 and standard deviation σ = 20, we need to find how many standard deviations away the values 230 and 270 are.

Note x - σ = 250 - 20 = 230 and x + σ = 250 + 20 = 270

The values are one standard deviation away.

So, the values between 230 and 270 lie in the range x - σ to x + σ.

Since the batting averages are approximately normally distributed and for a normal distribution, 68 % of the values lie in the range x - σ to x + σ.

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7 0
2 years ago
Part A: Eveline rented a car at $180 for 4 days. If she rents the same car for 9 days, she has to pay a total rent of $325. Writ
QveST [7]

Answer:


Step-by-step explanation:

Part A

We will use the slope intercept form of the line and then convert later.

Equation

y = mx + b is the general form

Givens

Two data points

(4,180)

(9,325)

Solution

325 = 9x + b

<u>180 = 4x + b</u>                Subtract

145 = 5x                      Divide by 5

145/5 = 5x/5               Do the division

29 = x                          This represents the cost / day

180 = 4x + b                 Substitute x = 29 to find b

180 = 4*29 + b             Combine

180 = 116 + b                Subtract 116 from both sides.

180 - 116 = b

64   = b

Solution for y = mx + b

y = 29x + 64

In Standard form this is

- 29x + y = 64 But the first number must be plus

29x - y = - 64 <<<< Answer A

Part B

y = 29x + 64

f(x) = 29x + 64

Part C

The graph is shown below. Various points are filled in using y = 29x + 64. The y intercept is (0,64) which is labeled. Let x = 1 , 2, 3, 4, ... 10 (which is arbitrary). This may be more easily done on a spreadsheet if you know how to use one to make graphs.


8 0
3 years ago
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dybincka [34]

Answer:

A. The function is always decreasing

Step-by-step explanation:

we read a graph from left to right, so we can always compare the increase/decrease of a function by seeing how an x value compares with an x value to the left

(I am aware that this paragraph is really confusing)

we can see that as x increases, from -∞ to 0,

y decreases in correspondence

and that as x increases, from 0 to ∞,

y decreases in correspondence also

So, even though the graph doesn't quite look like it, when x < 0; the function decreases, when x > 0; function decreases--so the function is always decreasing

hope this helps!! have a lovely day :)

5 0
2 years ago
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