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Colt1911 [192]
3 years ago
10

To get a B in​ math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 82​,74​,82​,and 74.Wha

t is the lowest score that she can get on the last test and still get a​ B?
Mathematics
1 answer:
motikmotik3 years ago
5 0

Answer:

88 score.

Step-by-step explanation:

Given:

To get a B in​ math, Alexandria Pappas must<u> average 80</u> on five tests.

Scores on the first four tests were <em>82​, 74​, 82​, and 74.</em>

Question asked:

What is the lowest score that she can get on the last test and still get a​ B?

Solution:

Let lowest score she can get on the last test = x

As we know:

Average=\frac{Sum\ of \ observations}{Number\ of\ observations}\\ \\ 80=\frac{82+74+82+74+x}{5} \\ \\

By cross multiplication:-

80\times5=312+x \\ \\400=312+x\\Subtracting\ both\ sides\ by\ 312\\400-312=312-312+x\\88=x

Thus, she can get 88 score on the last test to get a B in​ math.

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Find the lateral area and surface area of a cone with a radius of 12 and a height of 21
marishachu [46]

Answer:

The Lateral Surface Area is 911.32 square unit and

Total Surface Area is 1361.7 square unit.

Step-by-step explanation:

For a given Cone

Radius (r) = 12

Height (h) = 21

<u>For Lateral Surface Area</u>

<h3><u>Formula</u><u>:</u> </h3>

A = πr√r² + h²

A = 3.14 × 12 × √(12)² + (21)²

A = 3.14 × 12 × √144 + 441

A = 3.14 × 12 × √585

A = 37.68 × 24.18

A = 911.32 square unit

Now,

<u>For</u><u> </u><u>Total</u><u> Surface Area</u>

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A = πrl + πr²

For Slant height (l)

l² = r² + h²

l² = (12)² + (21)²

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l² = 585

l = 24.18

So,

A = πrl + πr²

A = πr(l + r)

A = 3.14 × 12 × (24.14 + 12)

A = 3.14 × 12 × 36.14

A = 1361.7 square unit

Thus, The <u>Lateral Surface Area</u> is 911.32 square unit and <u>T</u><u>otal Surface Area</u> is 1361.7 square unit.

<u>-TheUnknownScientist</u>

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