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jolli1 [7]
3 years ago
10

The diameter of a circle is 22 miles. What is the circle's area? Use 3.14 for pi.. Single choice.

Mathematics
1 answer:
Sonbull [250]3 years ago
6 0

Answer:

379.94 mi²

Step-by-step explanation:

The area of a circle can be figured out with this formula: πr² (3.14 is π here, as it says in the directions).

We know the diameter is 22 miles. Divide that by 2 to get a radius of 11 miles.

The equation now becomes

3.14(11²)

11 squared is 121.

3.14(121)

I recommend splitting the 121 into 100, 20, and 1.

(3.14 * 100) + (3.14 * 20) + (3.14 * 1)

Multiply 3.14 by 100, 20, and 1.

314 + 62.8 + 3.14

Add 314 and 62.8.

376.8 + 3.14

Add 376.8 and 3.14

379.94 mi² is the area of a circle with a 22-mile diameter.

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Answer:

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Step-by-step explanation:

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3 years ago
!!! Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3. Write your answer in the form of the expre
ki77a [65]

Answer:

(2x² + 3y)(4x^{4} - 6x²y + 9y²)

Step-by-step explanation:

A sum of cubes is factored in general as

a³ + b³ = (a + b)(a² - ab + b²) , thus

8x^{6} + 27y³

= (2x²)³ + (3y)³ with a = 2x² and b = 3y

= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)

= (2x² + 3y)(4x^{4} - 6x²y + 9y²)

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3 years ago
A magician is filling his underwater escape tank with water. It is being filled by two water hoses. Hose 1 can fill the tank in
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4 hours

Step-by-step explanation:

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3 years ago
Calen is comparing the prices per child for hosting a birthday at Mr. Bob’s Buffet and Sally’s Pizza Safari.
Bas_tet [7]

Answer:

The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

Step-by-step explanation:

<u><em>The missing table in the attached figure</em></u>

step 1

Find the cost per child at Mr. Bob’s Buffet

we know that

The cost per child or unit rate is the same that the slope of the linear equation

From the graph take two points

(0,0) and (4,60)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{60-0}{4-0}

m=\$15\ per\ child

step 2

Find the cost per child at Sally’s Pizza Safari.

From the data in the table

we have

(4,50) and (6,75)

<em>Find the slope</em>

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute

m=\frac{75-50}{6-4}

m=\$12.5\ per\ child

step 3

<u><em>Verify each statement</em></u>

case A) The cost per child is $2.50 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is true

Because

The cost per child is $15 at Mr. Bob’s Buffet

The cost per child is $12.50 at Sally’s Pizza Safari

The difference is $2.50 per child

case B) The cost per child is $10.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case C) The cost per child is $15.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari

The statement is false (see the explanation)

case D) The cost per child is $5.00 more at Mr. Bob’s Buffet than it is at Sally’s Pizza Safari.

The statement is false (see the explanation)

7 0
3 years ago
Moby practiced solving addition and subtracting problems, but he made a mistakes! Explain any error you find, and include what’s
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Answer:

3/4 - 5/12 = 4/12 - 5/12 = -1/12

Step-by-step explanation:

Moby's  addition and subtracting problem is as follows: Let us break the problem into solvable parts.

3/4 - 5/12

we will find the common factor of the denominator which are 4 and 12. The common factor is 12. We divide 12 by both denominator and multiply by the numerator .

3/4-5/12 = (9 - 5)/12 = 4/12 . This is his first error . 3/4 - 5/12 is equal to 4/12 not 3/12.

Now let us go to the second part which is the answer minus 5/12

4/12 - 5/12 = (4 - 5)/12 = -1/12

The final answer should be -1/12. This is another error that has been detected.

The correct answer combination should be as follows.

3/4 - 5/12 = 4/12 - 5/12 = -1/12

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