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Alenkinab [10]
3 years ago
7

Suppose the radius of a circle is 5. What is its circumference?

Mathematics
2 answers:
IRINA_888 [86]3 years ago
4 0

Answer:

The circumference of the circle is 31.42

Step-by-step explanation:

use 2πr to find the circumference of a circle. since you know the radius is 5, put the 5 were the r is and put the formula into a calculator.

2π(5) = 31.42

shutvik [7]3 years ago
4 0

Answer:

10π units

Step-by-step explanation:

Circumference = 2πr

Circumference = 2 * 5 * π

Circumference = 10π

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16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
timurjin [86]

Answer:

Yes, because when the side lengths of a triangle are in the ratio 3: 4: 5, then it is a right triangle. These sides are 6: 8: 10, then the triangle is a right one.

Step-by-step explanation:

7 0
2 years ago
Suppose that a brand of lightbulb lasts on average 1730 hours with a standard deviation of 257 hours. Assume the life of the lig
Debora [2.8K]

Answer:

P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

Step-by-step explanation:

Normal Distribution

Mean        μ₀  =  1730

Standard Deviation      σ  = 257

We need to calculate  z scores for the values   1689     and      2267

We apply formula for z scores

z =  ( X -  μ₀ ) /σ

X = 1689     then

z = (1689 - 1730)/ 257      ⇒ z = - 41 / 257

z  = -  0.1595

And from z table we get  for  z =  - 0,1595

We have to interpolate

        - 0,15          0,4364

        - 0,16          0,4325

Δ  =   0.01           0.0039

0,1595  -  0,15  =  0.0095

By rule of three

0,01                  0,0039

0,0095                 x ??      x  =  0.0037

And    0,4364  -  0.0037  = 0,4327

Then    P [ X ≤ 1689 ]  =  0.4327     or    P [ X ≤ 1689 ]  = 43,27 %

And for the upper limit  2267  z  score will be

z  =  ( X - 1730 ) / 257       ⇒  z =  537 / 257

z  =  2.0894

Now from z table   we find  for score   2.0894

We interpolate and assume  0.9815

P [ X ≤ 2267 ]  =  0,9815

Ths vale already contains th value of   P [ X ≤ 1689 ]  =  0.4327

Then we subtract  to get    0,9815  -  0,4327   = 0,5488

Finally

P [ 1689  ≤   X  ≤  2267 ]  =  0,5488  or  P [  1689  ≤   X  ≤  2267 ]  = 54,88 %

8 0
3 years ago
What is the domain of this function?
frutty [35]

Answer:

Step-by-step explanation:

The closed dot at (0, 9) indicates that that's where the graph begins.  The arrow at the other end indicates that it has no end. Since the domain covers x values only (NOT Y VALUES!), we only need be concerned with the x values. It starts at x = 0 and never ends, so the domain is properly stated as

{x | x ≥ 0}

3 0
3 years ago
Solve the system 3y=-x+11 x+4y=14
Dvinal [7]

Answer:

Here is your answer in picture...

5 0
2 years ago
Which theorem or postulate justifies this statement?
nydimaria [60]

Answer:

I used to know how to do this

Step-by-step explanation:

I forgot tho sorry

5 0
3 years ago
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