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Archy [21]
2 years ago
8

If you travel 4 miles around a circle with a radius of 1 mile, what is the central angle (q)?

Mathematics
1 answer:
mixer [17]2 years ago
4 0

Answer:

229.18 degrees

Step-by-step explanation:

The circumference of a circle with radius r is 2×pi×r.

So if it has a radius of 1 mile, then the circumference is 2×pi×1=2pi miles.

So if we travel 4 miles, then the percentage of this circle we traveled is 4/(2pi)=63.66% approximately.

There are 360 degrees in a circle and we want to how much of that rotation belongs to traveling 4 miles of the circumference of a circle that measures 2pi miles. So 63.66%×360 degrees =229.18 degrees.

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Answer:

\frac{5}{3}

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal.

To determine the scale factor calculate the ratio of corresponding sides, that is

\frac{NO}{GH} = \frac{15}{9} = \frac{5}{3}

4 0
3 years ago
What is 170% of 97 tons???
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2 years ago
The shoes that Sofia wanted to buy at the mall were marked down from $30 to $24. What is the percentage of discount?
Nataliya [291]
30-24=6
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Hope this helps.
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3 years ago
Help me out :) 15 points! Show work, and only answer if you know how to do it correctly.
Volgvan

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28

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First u have to find the bisector,then u have to descrese 18

8 0
3 years ago
PLZ HELP! 20 POINTS!!
ivann1987 [24]
Given list of values
A = {23, 34, 19, 10, 9, 20, 40, 43, 28, 29, 36, 13, 27, 23, 36, 37, 7}

Sort list A to get list B
B = {7, 9, 10, 13, 19, 20, 23, 23, 27, 28, 29, 34, 36, 36, 37, 40, 43}

The smallest value is 7, so the min is 7
The largest value is 43, so the max is 43

Look through list B to find the middle-most value. What you can do is cross off each pair of outer values (see figure 1 in the attached images) until you are left with the middle value
Or you can note how there are 17 values so the median is at slot 9 (there are 8 values below the median; 8 values above the median; the 8 is from 17/2 = 8.5)

Once you know the median is 27, we split the list B into two parts
The first part, we'll call it L for lower half is
L = {7, 9, 10, 13, 19, 20, 23, 23}
which is the list of all values lower or smaller than the median.
The median of list L is 16 because its the midway point between 13 and 19. We can compute (13+19)/2 = 32/2 = 16. This is the value of Q1

The upper half U is
U = {28, 29, 34, 36, 36, 37, 40, 43}
this list shows all the values larger than the median.
The value of Q3 is 36. We find the midpoint of 36 and 36 which is just 36.
The value of Q3 is the same as the median of list U

------------------------------------------------

Five Number Summary:
Min = 7
Q1 = 16
Median = 27
Q3 = 36
Max = 43

This five number summary is then used to construct the box-and-whisker plot. See figure 2 in the attached images. The diagram shows how each piece of the boxplot is put together (eg: the left edge of the box is the value of Q1). 

5 0
2 years ago
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