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Ymorist [56]
3 years ago
5

A girl stands on a carousel and rotated around the ride 6 times if the distance between the girl and the center of the carousel

is 8 how many feet did the little girl travel
Mathematics
1 answer:
Lesechka [4]3 years ago
8 0

Answer:

301.74 feet

Step-by-step explanation:

Given:

A girl stands on a carousel and rotated around the ride 6 times.

The distance between the girl and the center of the carousel is 8.

It means radius, r = 8 feet

Question asked:

How many feet did the little girl travel ?

Solution:

As here asked that how many feet the little girl traveled during rotation around the ride 6 times, we will find circumference of the circle.

Circumference\ of \ circle =2\pi r

                                        =2\times\frac{22}{7} \times8\\ =\frac{352}{7} \\ =50.29\ feet

Now, we will multiply this by 6 as she  rotated around the ride 6 times.

6\times50.29=301.74\ feet

Thus, the little girl traveled 301.74 feet during this ride.

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Write an equation for a circle with a diameter that has endpoints at (–3, –2) and (7, –6). Round to the nearest tenth if necessa
jarptica [38.1K]

The standard form for the equation of a circle is :

 (x−h)^2+(y−k)^2=r2 ----------- EQ(1)

 where handk are the x and y coordinates of the center of the circle and r is the radius.

 The center of the circle is the midpoint of the diameter.

 So the midpoint of the diameter with endpoints at (−3,-2)and(7,-6) is :

 ((−3+7)/2,(-2+(-6))/2)=(2,-4)

 So the point (2,-4) is the center of the circle.

 Now, use the distance formula to find the radius of the circle:

 r^2=(−3−(2))^2+(-2-(-4))^2=25+4=29

 ⇒r=√29

 Subtituting h=2, k=-4 and r=√29 into EQ(1) gives :

 (x-2)^2+(y+4)^2=29

4 0
3 years ago
Lines m and n are parallel. Which of the other 5 named angles have a measure of 110°?
Cloud [144]

Answer:

2 and angle that is left of 5

Step-by-step explanation:

Angle 2 is vertical from 110, and vertical angles are congruent. From this, we can figure out that 2 and 3 (they're supplementary) are 70. Angles 5 and 3 are Alternate Interior Angles, and therefore must be congruent. The one to the left of 5 is supplementary to it, and therefore must be 110. Your answers are angle 2 and the angle that is left of 5.

4 0
4 years ago
In Bluepoint, the average low temperature for January was 40 °F. The average low in February was 27% lower. What was the average
yarga [219]

The average low temperature for January was 40 °F - 100%.

The average low in February was x °F - 27% lower, that is 100%-27%=73%.

Write a proportion:

\dfrac{40}{x}=\dfrac{100}{73},\\ \\x=\dfrac{73\cdot 40}{100},\\\\x=29.2

Answer: the average low in February was 29.2 °F.

5 0
3 years ago
Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?
Stella [2.4K]
D= # of dimes
q= # of quarters

QUANTITY EQUATION:
d + q= 64

COST EQUATION:
0.10d + 0.25q= $9.25


STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2

(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40


STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q

Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40

0.15q= 2.85
divide both sides by 0.15

q= 19 quarters


STEP 3:
substitute q value in step 2 into either original equation to find d value

d + q= 64

d + 19= 64
subtract 19 from both sides

d= 45 dimes


CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25


ANSWER: There are 45 dimes and 19 quarters.

Hope this helps! :)
7 0
4 years ago
Can someone help me
RoseWind [281]
7/20 is equal to 35%
3 0
3 years ago
Read 2 more answers
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