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NARA [144]
3 years ago
6

A circle has a radius of 40 centimeters. Find the length of the arc intercepted by a central angle of 5π/3. Express the answer i

n a decimal form, round to two decimal places.
Mathematics
1 answer:
VARVARA [1.3K]3 years ago
6 0
Well if you have a radius remember to divide by 2 . So divide your number by 2. And you should get 5x
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3(6+5y)=2(-5+4y) help huhu
FinnZ [79.3K]

Answer:

-4 = y

Step-by-step explanation:

3(6+5y)=2(-5+4y)

18 + 15y = -10 + 8y

+10             +10

28 + 15y = 8y

      - 15y     -15y

 28 = - 7y

28/-7 = -4

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4 0
4 years ago
Read 2 more answers
A survey of an urban university showed that 750 of 1,100 students sampled attended a home football game during the season. Using
sattari [20]

Answer:

b. 0.6592 and 0.7044

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

A survey of an urban university showed that 750 of 1,100 students sampled attended a home football game during the season. This means that n = 1100, p = \frac{750}{1100} = 0.6818

90% confidence interval

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6818 - 1.645\sqrt{\frac{0.6818*0.3182}{1100}} = 0.6592

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6818 + 1.645\sqrt{\frac{0.6818*0.3182}{1100}} = 0.7044

So the correct answer is:

b. 0.6592 and 0.7044

7 0
3 years ago
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Korvikt [17]

Answer:

2677 mi^2

Step-by-step explanation:

Think the shape as an complete rectangle :

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(24+12+19)*55 = 3025 mi^2 now subtract the area of the missing part using same area calculation method:

12*29 = 348 mi^2 the area of the figure:

3025 - 348 = 2677 mi^2

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3 years ago
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Alekssandra [29.7K]
Acute is an angle less than 90 degrees obtuse is an angle bigger than 90 degrees and a right angle is 90 degrees.
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3 years ago
Triangle GHI is translated using the rule (x, y) → (x + 5, y) to create triangle G′H′I′. If a line segment is drawn from point G
Debora [2.8K]

Step-by-step explanation:

the second answer.

they are parallel and congruent (same length).

simply because both points were translated by adding the same number of units to x. so, they have the same length, and point in the same direction.

6 0
2 years ago
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