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RoseWind [281]
1 year ago
15

What is the circumference of a round pizza with an area of 36 square inches ? step by step like can anyone explain to me in word

s
Mathematics
1 answer:
nadya68 [22]1 year ago
3 0

Answer:

The circumference of the round pizza is 21.26in

Step-by-step explanation:

To solve this exercise we first have to calculate the radius of the circle, for this we will use the formula of area of ​​a circle and we will clear the radius

a = area = 36in²

r = radius

π = 3.14

a = π * r²

we clear r

r = √(a/π)

now we replace the known values

r =  √(36in²/3.14)

r = √(11.46in²)

r = 3.385 in

now we use the formula to calculate the circumference of a circle

c = π * 2r

c = 3.14 * 2 *  3.385 in

c = 21.26in

The circumference of the circle is 21.26in

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               5  19    6  -18
        -3     
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                 5    4   -6    0

Therefore, the width is 5x^2 + 4x - 6
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Given that a rectangle with length $3x$ inches and width $x + 5$ inches has the property that its area and perimeter have equal
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Answer:

First, we need to know how to calculate the area and the permiter of a rectangle.

To calculate the area, we multiply base by height and to calculate the perimeter, we sum all sides.

Knowing this, we can say that the area is 3x * (x+5) and the perimiter is 3x + 3x + x + 5 + x + 5, as we know both are the same, we write it as an equation:

3x * (x+5) = 3x + 3x + x + 5 + x + 5

Now we solve the equation:

3x^2 +15x = 6x + 2x + 10

3x^2+15x =8x + 10

3x^2+15x-8x-10=0

3x^2+7x-10=0\\\\x_1=\frac{-10}{3}\\x_2 = 1

As the negative result doesn't have sense, we only pick the second one: 1.

If x = 1, then area would be 3*6 = 18 square inches and perimeter 3+3+6+6 = 18 inches

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Justin receives $15 and puts it into his savings account. He adds $0.25 to the account each day for a number of days, d, after t
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Answer:

expression a

Step-by-step explanation:

The given expression is 15+0.25(d−1).

let suppose,

15 = a

0.25(d−1) = b

we get  a + b

It clearly indicates the given expression is sum of two entities, we can exclude  option b and option d.

Now we are left with option a and c, for that we have to evaluate the term b

b = 0.25(d−1) <u>that is the additional amount after d days</u>

Therefore, expression a is correct.

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Answer:

NGC 1427A has no general shape, so it is an irregular galaxy. U has a bulge in the center and arms, so it is a spiral galaxy. They are similar in that both contain plenty of dust and gas. Both also have active star-forming sites.

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When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected
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Answer:

A. Initially, there were 12 deer.

B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. After 15 years, there will be 410 deer.

D. The deer population incresed by 30 specimens.

Step-by-step explanation:

N=\frac{12.36}{0.03+0.55^t}

The amount of deer that were initally in the reserve corresponds to the value of N when t=0

N=\frac{12.36}{0.33+0.55^0}

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B. <em>N(10)</em> corresponds to the amount of deer after 10 years since the herd was introducted on the reserve.

C. N(15)=\frac{12.36}{0.03+0.55^15}=\frac{12.36}{0.03 + 0.00013}=\frac{12.36}{0.03013}= 410

C. After 15 years, there will be 410 deer.

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D. The deer population incresed by 30 specimens.

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