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ycow [4]
3 years ago
14

What is the radius of a circle whose circumference is 16π? A. 32π B. 16 C. 8 π D. 8

Mathematics
1 answer:
Paladinen [302]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Remark

The circumference of a circle is 2 * pi * r

Given

The circumference (C) = 16 * pi

Solution

2 pi r = 16 pi                                       Divide by 2*pi

r = 16 pi / (2*pi)

r = 8

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Step-by-step explanation:

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7 0
3 years ago
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Let a triangle with integer angle measures have one angle of 116°. What is the largest possible angle measure opposite the small
sveta [45]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
In a bag of 100 marbles comprised of many colors, 25 are blue. suppose marbles are selected at random.
satela [25.4K]

Solution: The number of ways we can arrange 3 blue marbles if a set of 5 marbles is selected is:

\binom{5}{3}=\frac{5!}{(5-3)!3!}

                          =\frac{120}{2 \times 6}

                          =\frac{120}{12}=10

Therefore, there are 10 ways we could arrange 3 blue marbles.

3 0
3 years ago
What is the answer to 3x - 9 equals 3 (x-5)​
viktelen [127]

Answer:

No solution

Step-by-step explanation:

To find the solution to 3x - 9 equals 3(x - 5), we would have to solve for x.

First set the two expressions equal to each other.

3x - 9 = 3(x - 5)

Now we can distribute the 3 on the right side.

3x - 9 = 3x - (3 * 5)

Simplify

3x - 9 = 3x - 15

Now lets try to get x alone on one side of the equality. Subtract 3x from both sides to cancel out of 3x on the right side.

3x - 9 - 3x = 3x - 15 - 3x

-9 = -15

And as you may have realized, -9 does not equal -15.

Why did the x disappear? Why did we end up with -9 = -15 which is clearly a false statement? This is because the the lines y = 3x - 9 and y = 3(x - 15) are parallel. Thus, they will never intersect and the equality 3x - 9 = 3(x - 5) will have no solution.

So there is no solution.

I hope you find my answer to be helpful. Let me know if you have any questions. Happy studying.

4 0
3 years ago
What are the x and y intercepts of the line described by this equation? 4x-3y=12.3
Nataly [62]
X-intercept is when y=0; 

4x-3(0)=12.3 
4x=12.3 
x=12.3/4 
x=3.075 (x-intercept) 

y-intercept is when x=0 

4(0)-3y=12.3 
-3y=12.3 
y=12.3/-3 
y=-4.1 (y-intercept) 

Hope I helped :) 
6 0
3 years ago
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