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VMariaS [17]
3 years ago
7

What is the best approximation for the perimeter of a semicircle with a dimeter of 12cm?

Mathematics
1 answer:
taurus [48]3 years ago
6 0
Answer is choice B: the circumference of a circle is the same as perimeter and is defined by πd (or pi times diameter) We can cut this in half because we are working with a semicircle: so we have 6π which approximates to the value in answer when using 3.14 for pi Woops: forgot to add the diameter of 12 so we would have 30.84
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If mikes salary is $62,500 this year and next year he will get 5.5% increase in salary. How much is his new salary.
rusak2 [61]

Answer:

65,937.5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If angle 1 and angle 2 are supplementary angles, and angle 3 and angle 2 are supplementary angles, what do you know about angle
dusya [7]

Answer:

  angle 1 and angle 3 are congruent

Step-by-step explanation:

Angles supplementary to the same angle are congruent. Here both angles 1 and 3 are supplementary to angle 2, so angles 1 and 3 are congruent.

_____

If you like, you can get there algebraically:

  m∠1 + m∠2 = 180

  m∠3 + m∠2 = 180

Subtract the second equation from the first:

  (m∠1 + m∠2) - (m∠3 + m∠2) = (180) - (180)

  m∠1 -m∠3 = 0 . . . . simplify

  m∠1 = m∠3 . . . . . . add m∠3

When angle measures are the same, the angles are congruent.

  ∠1 ≅ ∠3

4 0
3 years ago
In the figure,BE||CD. Solve for . Show your work.
creativ13 [48]

Answer:

Step-by-step explanation:

AE is 9. ED is 6. The triangle ABE is proportional to ACD, so their sides are proportional. For example, AE:ED = AB:BC. So, ED/AE = 2/3 = BC/AB. This gives us 2/3 = x/10, which gives us x=6.6667

4 0
3 years ago
Find the standard deviation of 21, 31, 26, 24, 28, 26
Vesnalui [34]

Given the dataset

x = \{21,\ 31,\ 26,\ 24,\ 28,\ 26\}

We start by computing the average:

\overline{x} = \dfrac{21+31+26+24+28+26}{6}=\dfrac{156}{6}=26

We compute the difference bewteen each element and the average:

x-\overline{x} = \{-6,\ 5,\ 0,\ -2,\ 2,\ 0\}

We square those differences:

(x-\overline{x})^2 = \{36,\ 25,\ 0,\ 4,\ 4,\ 0\}

And take the average of those squared differences: we sum them

\displaystyle \sum_{i=1}^n (x-\overline{x})^2=36+25+4+4+0+0=69

And we divide by the number of elements:

\displaystyle \sigma^2=\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n} = \dfrac{69}{6} = 11.5

Finally, we take the square root of this quantity and we have the standard deviation:

\displaystyle\sigma = \sqrt{\dfrac{\sum_{i=1}^n (x-\overline{x})^2}{n}} = \sqrt{11.5}\approx 3.39

8 0
3 years ago
Which expression is equivalent to 5(2 + 7)?
bogdanovich [222]
By using distributive property we get
5(2)+5(7)
Therefore you answer is D. 5(2)+5(7)
3 0
2 years ago
Read 2 more answers
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