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BARSIC [14]
3 years ago
15

Find the exact area of a circle having the given circumference. 3pi

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

Answer:

A = (9/4)*pi units^2

Step-by-step explanation:

The equation for the circumference of a circle is C = 2*pi*r, where r is the radius.  Given that the actual value of the circumference is 3 pi, we equate this 3 pi to 2*pi*r:  3 pi = 2*pi*r.  

Dividing both sides of this equation by pi, we get 3 = 2r, so that r = 3/2.

The formula for the area of a circle of radius r is A = pi*r^2.

Here r = 3/2, so the area of this circle is

A = pi*(3/2 units)^2 = pi(9/4) units^2, or   A = (9/4)*pi units^2.

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neonofarm [45]

Answer:

x = -3 and x = 1

Step-by-step explanation:

first, square each side

12 - 8x = x² - 6x + 9

x² + 2x - 3 = 0

(x - 1)(x + 3) = 0

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4 0
2 years ago
Help i have no idea how to do this
Brums [2.3K]

Answer: 80

Step-by-step explanation: it is 80

6 0
2 years ago
PLEASE HELP<br> need to know cos(F), sin(F), and tan(F) <br> WILL GIVE BRAINLIEST
SVETLANKA909090 [29]

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

7 0
3 years ago
The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 105 ' and a standard deviation
Ksenya-84 [330]

The sample mean is μ=105, and sample standard deviation is σₓ=\frac{σ}{\sqrt{n}}  =\frac{10}{\sqrt{25}}  =2.

The Z-score is Z=\frac{ 107.8-105}{2}=1.4.

Refer to standard normal distribution table.

The required probability is

P(X>107.8)=P(Z>1.4)=1-P(Z

7 0
3 years ago
Dara invests $800 at 12.5% per
VARVARA [1.3K]

Answer:

By the end of the first year Dara will have $903.125 in his account.

Step-by-step explanation:

Since this a compounded interest formula, it means that the amount invested grows exponentially overtime. In order to calculate the total of money over a period of time we must use the following formula:

M(t) = M(0)*(1 + r/n)^(n*t)

Where M(t) is the amount of money in "t" years, M(0) is the amount invested, r is the anual interest rate, n is the compound period over a year and t is the time elapsed in years.

In this problem the amount is compounded half-yearly, this means that for every year that passes the money is compounded twice, therefore n is equal to 2. Applying the data from the problem to the formula, we have:

M(1) = 800*(1 + 0.125/2)^(2*1)

M(1) = 800*(1.0625)^(2)

M(1) = 800*(1.0625)^(2) =903.125

By the end of the first year Dara will have $903.125 in his account.

3 0
2 years ago
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