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Arlecino [84]
3 years ago
12

The distance around a circle is 37.7 meters long. what is the diameter of the circle?

Mathematics
1 answer:
aksik [14]3 years ago
6 0
Ok so we know that the distance around the circle (or circumference) is equal to the diameter times pi.
This means that
37.7 = \pi \times d
d being the diameter,

This means that:
d =  \frac{37.7}{\pi}
= 12.00028271
= 12 m

So the diameter of the circle is 12 metres.

Hope this helped
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Jack's baby sister crawled three and five tenths meters today.which number represents that distance?
BaLLatris [955]
5 is the answer because it is a full number
8 0
3 years ago
The playing life of a Sunshine radio is normally distributed with mean LaTeX: \muμ = 600 hours and standard deviation LaTeX: \si
Hitman42 [59]

Answer:

The probability that a radio selected at random will last from 600 to 700 hours is 0.3413

Step-by-step explanation:

The playing life of a Sunshine radio is normally distributed

Mean =\mu = 600 hours

Standard deviation =\sigma = 100 hours

We are supposed to find the probability that a radio selected at random will last from 600 to 700 hours i.e.P(600<x<700)

Formula:Z= \frac{x-\mu}{\sigma}

At x = 600

Z= \frac{600-600}{100}

Z=0

P(X

At x = 700

Z= \frac{700-600}{100}

Z=1

P(X

P(600

Hence the probability that a radio selected at random will last from 600 to 700 hours is 0.3413

8 0
3 years ago
Judy is selling small candles at the fair for $4 each and large candles for $6 each. She collected $144 selling a total of 28 ca
Pepsi [2]

Answer:

Number of small candles = 12

Number of large candles = 16

Step-by-step explanation:

Total candles = 28

x + y = 28 ---------------(I)

Cost of 'x' small candles = 4 *x = 4x

Cost of 'y' large candles = 6 *y = 6y

Total amount = $144

4x + 6y = 144 -------------(II)

Multiply equation (I) by (-4) and then add the equation. So, x will be eliminated and we can find the value of 'y'

(I) * (-4)            -4x - 4y = -112

(II)                  <u>  4x  + 6y = 144</u>              {Now, add}

                               2y = 32

                                y = 32/2

y = 16

Plug in y = 16 in equation (I)

x + 16 = 28

       x = 28 - 16

x = 12

4 0
2 years ago
Read 2 more answers
How to solve this problem
ANTONII [103]

Answer:

B: (2, -1)

Step-by-step explanation:

1) First isolate the y in both equations

2) Set the equations equal to each other

3) Solve for x (you should get 2 and 5)

4) Insert the x values back in to get your y values

5) You should have gotten (2, -1) and (5, 2)

These are your two answers, but the question is only asking for one solution and (5,2) isn't one of the options, so it has to be (2,-1).

8 0
3 years ago
Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)
Nataly [62]

9514 1404 393

Answer:

  y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

  y +1 = -3/8(x +5)

In slope-intercept form, this is ...

  y = -3/8x -23/8

4 0
2 years ago
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