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7nadin3 [17]
3 years ago
15

Becky has already run 23 miles on her own, and she expects to run 1 mile during each

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
5 0

Answer:

42

Step-by-step explanation:

Since Becky already ran 23 miles, and there is 1 mile per track practice, you add the 19 and 23 to get your answer.

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When and image is dilated, the area of the new image is the [blank] of the [blank] of the original figure and the [blank] factor
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John wants to nail a thumbtack on his circular board, pictured below. If the thumbtack is equally likely to be placed anywhere o
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Answer: A. 51%

Step-by-step explanation:

Area of circle = \pi r^2 , where r = radius of the circle.

In the figure below, we have the complete question.

According to that,

Radius of outer circle = 7ft

Radius of inner circle = 5ft

The probability that the thumbtack will be placed on the inner circle

=\dfrac{\text{Area of inner circle}}{\text{Area of outer circle}}\\\\=\dfrac{\pi (5)^2}{\pi (7)^2}\\\\=\dfrac{25}{49}[π is canceled from numerator and denominator

in percent, \dfrac{25}{49}\times100=51.0204081633\%\approx51\%

So, the probability that the thumbtack will be placed on the inner circle = 51%

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6 0
3 years ago
If measure KL=136 and measure LH= 113. find measure angle KJH
notka56 [123]

Answer:

D) 111

Step-by-step explanation:

In order to find ∠KJH we must find the measure of arc KH

Note that ∠KJH is a central angle and arc KH is the arc it intercepts

Because ∠KJH is a central angle it equal the measure of its intercepted arc

Thus, ∠KJH = arc KH

J is a circle that is made up of 3 arc; KL, LH and KH

If you didn't know the sum of the arcs in a circle = 360°

Which means that arc KL + arc LH + arc KH = 360

If arc KL = 136 and arc LH = 113

Then 136 + 113 + arc KH = 360

                        ^ ( note that we just created an equation that we can use to

                            solve for arc KH )

We now solve for arc KH

136 + 113 + arc KH = 360

* combine like terms *

136 + 113 = 249

we now have 249 + arc KH = 360

* subtract 249 from each side *

249 - 249 cancels out

360 - 249 = 111

We're left with arc KH = 111°

Like stated previously arc KH = ∠KJH

Hence, ∠KJH = 111°

8 0
3 years ago
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