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IRINA_888 [86]
2 years ago
14

HELP!!!! A quarter circle is attached to the side of a square as shown.

Mathematics
1 answer:
Paul [167]2 years ago
6 0

Answer:

28.56 m²

Step-by-step explanation:

What we need to do for the quarter circle is use the following formula: 1/4(πr²)

(4 * 4) + 1/4(3.14 * 4²)

16 + 1/4(3.14 * 16)

16 + 1/4(50.24)

16 + 12.56

28.56 m²

The best approximation for the area of this figure is 28.56 m².

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AnnyKZ [126]

Step-by-step explanation:

Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.

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8 0
3 years ago
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contestants in a dance-a-thon rest for the same amount of time every hour.a couple rests for 25 minutes in 5 hours.how long did
vladimir1956 [14]

Answer

Find out the how long did they rest in 8 hours.

To prove

As given

contestants in a dance-a-thon rest for the same amount of time every hour.

A couple rests for 25 minutes in 5 hours .

As

25 mintues = 5 hours

1\ hours = \frac{25}{5}\ mintues

1 hours = 5 mintues

Thus in 1hours a the dance -a-thon rest for 5 mintues.

Now for 8 hours.

8 hours = 8 × 5 mintues

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Therefore in 8 hours  a dance-a-thon rest for 40 mintues.




3 0
3 years ago
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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is
yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

H_{0}: \mu = 434

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

H_{a}: \mu < 434

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that \mu = 434

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that X = 431, n = 9, \sigma = \sqrt{144} = 12

Value of the test-statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}

z = -0.75

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

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2 years ago
On Saturday Keisha ran 3.218 kilometers. on Sunday she ran 2.41 kilometers. How much further did she run on Saturday than on Sun
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7 0
3 years ago
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How to do the problem
trapecia [35]

Step-by-step explanation:

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4 0
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