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bazaltina [42]
2 years ago
13

Find the area of the circle. Leave your answer in terms of π.

Mathematics
1 answer:
seraphim [82]2 years ago
5 0

Answer:

4π

Step-by-step explanation:

We are asked to calculate the area of a circle whose diameter is equal to 4, we know that the area of the circle is given by the following equation:

A = π * (r ^ 2)

where r is the radius of the circle, we know that the radius of the circle is half the diameter, therefore:

r = d / 2 = 4/2

r = 2

replacing, we are left with:

A = π * (2 ^ 2)

A = 4π

Which means that the area of the circle is 4π

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Simplify.<br> 7x +84/(x + 12)(x+10)
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Answer:

{7x^2+168x+840}/{x+12}

Step-by-step explanation:

3 0
3 years ago
What is the value of x in the equation 4(2x + 14) = 0? (1 point)
mezya [45]

Answer:

<h2>-7</h2>

Step-by-step explanation:

Simplify the equation first:

8x+56=0

-56 on both sides

8x=-56

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That's your answer: -7

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3 years ago
How many "words" can be written using exactly five A's and no more than three B's (and no other letters)?
kakasveta [241]

This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.

Case 1: Five A's and One B

Total number of letters = 6

Total number of words possible = \frac{6!}{5!*1!}=6

Case 2: Five A's and Two B's

Total number of letters = 7

Total number of words possible = \frac{7!}{5!*2!}=21

Case 3: Five A's and Three B's

Total number of letters = 8

Total number of words possible = \frac{8!}{5!*3!}=56

Total number of possible words will be the sum of all three cases.

Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83

8 0
3 years ago
Read 2 more answers
10. On a Math test, there are 60 questions. Juanita answered 50 questions correctly. A) What percent did she answer incorrectly?
Travka [436]

Answer:

83.3

Step-by-step explanation:

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What is the solution for the following system of equations? x +2y=6
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Answer: Infinitely many solutions

Step-by-step explanation:

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