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3 years ago

The circumference is 28.26, what is the radius and area?

Mathematics

1 answer:

Shalnov [3]3 years ago

7 0

Answer:

The radius is 4.5, while the area is equaled to 63.585

Step-by-step explanation:

Formula of circumference: radius times 2 times pie (3.14)

Formula of Area of Circle: radius squared times pie (3.14)

Divide 28.26 by 2 and by pie (3.14) to get the radius. You should get 4.5.

Square 4.5 (the radius), which should equal to 20.25. Then, multiply it by pie (3.14), which is equaled to 63.585. This is the area of the circle.

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The robber stole 280 dollars' worth of one-dollar bills. He also stole some 100-dollar bills, 50-dollar bills, and 20-dollar bil

salantis [7]

E, because he is stealing everything, meaning he has a net profit. So, you would add everything. Since he 280 $1 bills, he just stole $280 which is a definite quantity, so we don't need a variable for it. Since everything else are indefinite quantities, we need variables (x, y, z). But, yeah, E should be the answer.

6 0

3 years ago

P(x) = x4 − 9x2 − 4x 12? what some roots

arlik [135]

P(x) = x^4 - 9x^2 - 4x + 12
P(1) = 1^4 - 9(1)^2 - 4(1) + 12 = 1 - 9 - 4 + 12 = 0
x = 1 is a root.
By dividing the polynomial by x - 1, gives other roots as 3 and -2

3 0

3 years ago

Read 2 more answers

9/11 - 1/2 in it's simplest form

Murrr4er [49]

Answer:

7/22

Step-by-step explanation:

Step 1: Define/explain.

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: Solve.

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

$9/11*2/2=18/22$

$1/2*11/11=11/22$

Now, subtract as normal.

$18/22-11/22=7/22$

$7/22 (simplified).$

Step 3: Conclude.

Therefore, 9/11 - 1/2 = 7/22.

5 0

3 years ago

3) James earned a total of $900 last week. He worked for 5 hours at his usual rate, then earned a bonus of $20 for each hour tha

agasfer [191]

Answer:

$160 hourly rate

Step-by-step explanation:

20 x 5 = 100

900 - 100 = 800

800 ÷ 5 = 160

To check: Multiply 160 by 5 and then add 100

3 0

2 years ago

A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the fl

ankoles [38]

Answer:

The null hypothesis is $H_0: \mu = 4$

The alternate hypothesis is $H_1: \mu > 4$

The p-value of the test is of 0.0045.

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

Step-by-step explanation:

A new centrifugal pump is being considered for an application involving the pumping of ammonia. The specification is that the flow rate be more than 4 gallons per minute (gpm).

At the null hypothesis, we test that the mean is 4, so:

$H_0: \mu = 4$

At the alternate hypothesis, we test that the mean is more than 4, that is:

$H_1: \mu > 4$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

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

4 is tested at the null hypothesis:

This means that $\mu = 4$

In an initial study, eight runs were made. The average flow rate was 6.4 gpm and the standard deviation was 1.9 gpm.

This means that $n = 8, X = 6.4, s = 1.9$

Test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{6.4 - 4}{\frac{1.9}{\sqrt{8}}}$

$t = 3.57$

P-value of the test:

The p-value of the test is the probability of finding a sample mean above 6.4, which is a right-tailed test with t = 3.57 and 8 - 1 = 7 degrees of freedom.

With the help of a calculator, the p-value of the test is of 0.0045.

3. Should the pump be put into service?

The p-value of the test is low(< 0.01), which means that there is enough evidence that the flow rate is more than 4 gallons per minute (gpm) and thus, the pump should be put into service.

6 0

3 years ago