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larisa86 [58]
2 years ago
9

Help me solve please

Mathematics
1 answer:
Lisa [10]2 years ago
5 0

Answer:

degree measure of arc AB = 120°

length of arc AB = 40π/3 in.

Step-by-step explanation:

arc AB has the same measure as its central angle.  So, arc AB = 120°

120 is 1/3 of 360, Therefore, the length of arc AB is 1/3 of the circumference.

Therefore, the

length of arc AB = 1/3πd =  1/3π(40) =  

                            = 40π/3 in.

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What is the area of a semicircle that has a radius of 30 feet
adoni [48]

Answer:

A = 1413.72 unit²

Step-by-step explanation:

area of a semicircle formula: <em>A = (πr²)/2</em>

To find the area of a semicircle that has a radius of 30 feet, apply r = 30 to the formula <em>A = (πr²)/2</em>:

<em>A = (π30²)/2</em>

<em>A = 1413.72 unit²</em>

3 0
3 years ago
A sample of 148 college students at a large university reports getting an average of 6.85 hours of sleep last night with a stand
nignag [31]

Answer:

70 students need to be surveyed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Assuming that the standard deviation of the above sample is a reasonable estimate of the standard deviation of sleep time at your university.

This means that \sigma = 2.12

How many students do you need to survey to estimate the mean sleep time of students at your university with 95% confidence and a margin of error of 0.5 hours?

n students need to be surveyed, and n is found when M = 0.5. So

M = z\frac{\sigma}{\sqrt{n}}

0.5 = 1.96\frac{2.12}{\sqrt{n}}

0.5\sqrt{n} = 1.96*2.12

Multiplying by 2 on both sides:

\sqrt{n} = 1.96*4.24

(\sqrt{n})^2 = (1.96*4.24)^2

n = 69.1

Rounding up

70 students need to be surveyed.

3 0
2 years ago
Factor completely 2c^5 + 44c^4 + 242c^3
Olenka [21]
2c^5 + 44c^4 + 242c^3

Take out common factors.

= 2c^3(c^2 + 22c + 121)

( Refer for attachment for next step )

= 2c^3(c + 11)(c + 11)

= 2c^3(c + 11)^2

5 0
3 years ago
Read 2 more answers
AJ used a ratio of 2 teaspoons of liquid soap for every 3 gallons of water. AJ has 3 tablespoons liquid soap to mix with water.
erik [133]
The answer for this equation is 10 gallons of water
3 0
3 years ago
Y equals 7.75x fourmovie tickets cost how many dollars remember X represents the number of movie tickets
ArbitrLikvidat [17]
Y = 7.75x 

when x = 4 we have

y = 7.75 * 4 =  31 dollars answer
4 0
3 years ago
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