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musickatia [10]
2 years ago
10

What is the area of the shaded region of the circle?

Mathematics
1 answer:
eduard2 years ago
6 0

Answer:

12π ft², B

Step-by-step explanation:

Area of circle: radius²π

The area of the entire circle would thus be 6²π, or 36π

Note that a circle has a total degree measure of 360°, and the shaded area is 120°. Thus, the area of the shaded region would be 120/360 of the circle's area, or 1/3.

1/3 * total area of the circle = area of the shaded region

1/3 * 36π = 12π

Thus, the answer is 12π ft², or B.

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Between the years of 1947 and 1956, earthenware jars containing what are known as the Dead Sea Scrolls were found in caves along
lidiya [134]

Answer:

They are right, the time calculated using the exponential decay equation is 1948.6 years.

Step-by-step explanation:

The time can be calculated using the exponential decay equation:

N_{(t)} = N_{0}e^{-\lambda t}     (1)

<u>Where</u>:

N(t): is the quantity of C-14 at time t

N₀: is the initial quantity of C-14

λ: is the decay constant  

The decay constant is:

\lambda = \frac{ln(2)}{t_{1/2}}   (2)    

By entering equation (2) into (1) and solving for t, we have:

t = \frac{t_{1/2}*ln(N_{t}/N_{0})}{ln(2)} = \frac{5730*ln(0.79)}{ln(2)} = 1948.6 y

Therefore, the time of the scrolls estimated by the archeologists is right, since the time calculated using the exponential decay equation is 1948.6 years.      

I hope it helps you!

8 0
3 years ago
If a die is rolled 36 times, how many times is the number 4 expected to come up?
Snezhnost [94]

Answer: 4/36 or 1/9

Step-by-step explanation: The answer will be 1/9 because when a dice is rolled 6 times, every number has a 1/6 chance of being the number. So if the die is rolled 36 times, the number will show up 1/9 of the time.

4 0
3 years ago
Use your knowledge of the process of "Writing an equation given two points" to solve the following problem: A vendor has learned
nydimaria [60]

Answer: Our required linear equation would be x+48y=148

Step-by-step explanation:

Since we have given that

Cost of deep fried bananas on a stick = $1.00

Number of sales reached = 100 per day

Cost of deep fried bananas on a stick becomes = $2.00

Number of sales reached = 52 per day.

Let x is the number of dollars each.

Let y be the number of vendors sale.

So, we need to form the linear equation:

As we know the formula for two point slope form:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\y-1=\dfrac{2-1}{52-100}(x-100)\\\\y-1=\dfrac{1}{-48}(x-100)\\\\-48(y-1)=(x-100)\\\\-48y+48=x-100\\\\-48y=x-100-48\\\\-48y=x-148\\\\x+48y=148

Hence, our required linear equation would be x+48y=148

3 0
3 years ago
What is 72 times 80 ...............
djyliett [7]
  72
x80
---------
    00
576
---------
5760 is the answer.
7 0
2 years ago
Read 2 more answers
Which number gives you an irrational product when you multiply it by 2
soldi70 [24.7K]
<h2>Explanation:</h2><h2></h2>

An irrational number is a number that can't be written as a simple fraction while a rational number is a number that can be written as the ratio of two integers, that is, as a simple fraction. So in this case we have the number 2 which is ration, and we can multiply it by an irrational number n such that the product is an irrational number. So any irrational number will meet our requirement because the product of any rational number and an irrational number will lead to an irrational number. For instance:

\bullet \ 2\sqrt{2} \\ \\ 2 \ is \ rational \\ \\ \sqrt{2} \ is \ irrational \\ \\ 2\sqrt{2} \ is \ irrational \\ \\ \\ \bullet \ 2\pi \\ \\ 2 \ is \ rational \\ \\ \pi \ is \ irrational \\ \\ 2\pi \ is \ irrational

6 0
3 years ago
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