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svetlana [45]
3 years ago
5

Every month, Tracie writes a check for

Mathematics
2 answers:
lisov135 [29]3 years ago
6 0

She can pay the loan 18 months.

Step-by-step explanation:

Given,

Tracie has to pay $ 25 each month to pay the loan.

She has $ 450 in her account to pay the loan.

To find the number of months she can pay the loan.

We will apply the <u>unitary method</u>.

$ 25 she can pay in 1 month

$ 1 she will pay in \frac{1}{25} month

$ 450 she will pay in \frac{1}{25} × 450 months.

= \frac{450}{25}

= 18 months

Andrej [43]3 years ago
4 0
She can pay it 18 months
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A cone has a volume of 2560π cm cubed and a heigh of 30 cm.
Korolek [52]

Answer:

r = 16 cm

g = 34 cm

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Step-by-step explanation:

We have that for the cone, the formula is as follows:

v = pi / 3 * r ^ 2 * h

the first thing they ask is to calculate the radius, therefore we solve for r

r ^ 2 = 3 * v / (pi * h)

replacing the volume and height, it remains:

r ^ 2 = 3 * 2560 * pi / (pi * 30)

r ^ 2 = 3 * 2560/30 = 256

r = 16

Now, to calculate the slant height, that is to say g, we can calculate it knowing the height and the radius:

g ^ 2 = r ^ 2 + h ^ 2

g ^ 2 = 16 ^ 2 + 30 ^ 2

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The lateral area of the cone is given by the following equation:

LA = pi * r * g

replacing

LA = 3.14 * 16 * 34

LA = 1708.16 cm ^ 2

the lateral area is 1708.16 cm ^ 2

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