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Mumz [18]
3 years ago
5

find the area of the shaded sector, in square meters. leave your answer in terms of pi. need answer please help.

Mathematics
1 answer:
jasenka [17]3 years ago
6 0
Area of circle:
A = <span>πr^2
A = </span><span>π(8^2)
A = 64</span><span>π

Area of shaded:
135/360 = x / 64</span><span>π
360x = 8640</span><span>π
      x = 24</span><span>π

Answer
B. 24</span><span>π</span>
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NOTE: Angles not necessarily drawn to scale. What does X equal?
Alenkasestr [34]

Answer:

x=45

Step-by-step explanation:

∠FEDstart color #1fab54, angle, F, E, D, end color #1fab54 and \blueD{\angle{x}}∠xstart color #11accd, angle, x, end color #11accd combine to form \angle{AED}∠AEDangle, A, E, D, which is a vertical angle with \goldD{\angle CEB}∠CEBstart color #e07d10, angle, C, E, B, end color #e07d10 because is opposite from \goldD{\angle CEB}∠CEBstart color #e07d10, angle, C, E, B, end color #e07d10.

Vertical angles are congruent, so \greenD{\angle{FED}} +\blueD{\angle{x}} = \goldD{\angle CEB}∠FED+∠x=∠CEBstart color #1fab54, angle, F, E, D, end color #1fab54, plus, start color #11accd, angle, x, end color #11accd, equals, start color #e07d10, angle, C, E, B, end color #e07d10.

Hint #22 / 2

\begin{aligned}\greenD{\angle{FED}} +\blueD x&= \goldD{160^\circ} \\\\ \greenD{115^\circ} + \blueD x &= \goldD{160^\circ} \\\\ \blueD x & = 45^\circ \end{aligned}

∠FED+x

115

∘

+x

x

​

 

=160

∘

=160

∘

=45

∘

​

8 0
3 years ago
Can i get help wit these? i need 5 7 and 8
telo118 [61]

Answer:

<5 = 132°

<7 = 132°

<8 = 48°

Step-by-step explanation:

aAgle 2 and angle 5 are supplementary which means their sum is 180° so angle 5 is 180 - 48 = 32°

Angle 5 and angle 7 are congruent so their measures are equal 132°

Angle 8 and angle 2 are congruent and equal to each other as well

6 0
3 years ago
An English professor assigns letter grades on a test according to the following scheme. A: Top 14% of scores B: Scores below the
NeX [460]

Answer:

Grades between 62 and 64 result in a D grade.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 71.9, \sigma = 7.8

Find the numerical limits for a D grade.

D: Scores below the top 84% and above the bottom 10%

So below the 100-84 = 16th percentile and above the 10th percentile.

16th percentile:

This is the value of X when Z has a pvalue of 0.16. So X when Z = -0.995.

Z = \frac{X - \mu}{\sigma}

-0.995 = \frac{X - 71.9}{7.8}

X - 71.9 = -0.995*7.8

X = 64

10th percentile:

This is the value of X when Z has a pvalue of 0.1. So X when Z = -1.28.

Z = \frac{X - \mu}{\sigma}

-1.28 = \frac{X - 71.9}{7.8}

X - 71.9 = -1.28*7.8

X = 62

Grades between 62 and 64 result in a D grade.

6 0
3 years ago
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Monica [59]

Answer:

c x ≤ 6

Step-by-step explanation:

2x ≤ 12

Divide each side by 2

2x/2 ≤ 12/2

x ≤ 6

8 0
3 years ago
Find the mean of the integers<br> -16,-27,21,-19,14,-3
babunello [35]
To find the mean all you have to do is add all the numbers...
you should get -30
 and divide by a number of numbers, there are 6
 so -30/6 is -5
5 0
3 years ago
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