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3 years ago

The diameter of a circle is 8 kilometers. What is the angle measure of an arc kilometers long?

1 answer:

7 0

Answer: 14.32 degrees

The circle has a diameter of 8 kilometers, so the perimeter would be:
perimeter= pi * diameter
perimeter= 22/7 * 8 kilometers= <span>25.14 kilometers

A full perimeter </span>of the circle, which is 25.14km, has 360° angle. So 1km arc would be: 1km/ 25.14 km * 360°= 14.32°

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Sofia hits a softball straight up. the equation h= -16t^2 + 90t models the height h, in feet, of the ball after t seconds. How l

andrezito [222]

It is in the air 5.625 seconds.

Using the quadratic formula,

$t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}
\\
\\=\frac{-90\pm \sqrt{90^2-4(-16)(0)}}{2(-16)}
\\
\\=\frac{-90\pm \sqrt{8100-0}}{-32}
\\
\\=\frac{-90\pm \sqrt{8100}}{-32}=\frac{-90\pm90}{-32}
\\
\\=\frac{-90+90}{-32}\text{ or }\frac{-90-90}{-32}=\frac{0}{32}\text{ or }\frac{-180}{-32}
\\
\\=0\text{ or }5.625$

0 is when the ball is first launched, 5.625 is when it hits the ground again.

4 0

3 years ago

I NEED HELP WITH PERCENT PROBLEM

fomenos

Answer:

76$

Step-by-step explanation:

114=.6y; y= original price

y=190, original price

190-114=76

4 0

2 years ago

2 t-shirts and 3 hats costs £12.

Mariana [72]

Answer:

Cost of tshirt = £7.29

Cost of what = £0.86

Step-by-step explanation:

2t +3h = 12; 10t + 15h = 60

5t + 4h =33; 10t + 8h = 66

15h -8h = -6

7h = -6; h = -6/7; h = 0.86

2t +3(-6/7) =12

14t -18 = 84

14t = 102; t = 102/ 14; t=7.29

6 0

3 years ago

Elena received a $30 gift for her birthday. She plans to use it to buy one or more books. Elena will have to pay 8% sales tax on

11111nata11111 [884]

The cost of book has to be less than or equal to 26.39.

The amount of money Elena can buy has to be less than or equal to $30. Thus, the inequality sign to be used is the less than or equal to sign.

(1 + tax)cost of books + cost of bus fare ≤ value of the gift

1.08c + 1.5 ≤ 30

In order to determine the maximum cost of books, take the following steps:

Combine similar terms

1.08c ≤ 30 - 1.5

Add similar terms together

1.08c ≤ 28.50

Divide both sides of the equation by 1.08

c ≤ 28.50 / 1.08

c ≤ 26.39

To learn more about taxes, please check: brainly.com/question/25311567

3 0

2 years ago

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time. The bank ha

love history [14]

Answer:

To be able to approximate the sampling distribution with a normal model, it is needed that $np \geq 10$ and $n(1-p) \geq 10$ , and both conditions are satisfied in this problem.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will make payments on time, or they won't. The probability of a person making the payment on time is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The sampling distribution can be approximated to a normal model if:

$np \geq 10$ and $n(1-p) \geq 10$

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time.

This means that $p = 0.089$

The bank has recently approved 220 loans.

This means that $n = 220$

What must be true to be able to approximate the sampling distribution with a normal model?

$np = 220*0.089 = 19.58 \geq 10$

$n(1-p) = 220*0.911 = 200.42 \geq 10$

To be able to approximate the sampling distribution with a normal model, it is needed that $np \geq 10$ and $n(1-p) \geq 10$ , and both conditions are satisfied in this problem.

3 0

3 years ago

The diameter of a circle is 8 kilometers. What is the angle measure of an arc ​ kilometers long?

The diameter of a circle is 8 kilometers. What is the angle measure of an arc kilometers long?