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const2013 [10]
3 years ago
7

The number of laps Katie ran was 2:3.If Louis ran 4 miles, how far did katie run?

Mathematics
1 answer:
agasfer [191]3 years ago
5 0

Answer ran 2 3/4 miles in 1/3 of an hour

2 3/4 miles =11/4 miles in 1/3 of hour

11/4 miles divided by 1/3 hr

11/4 ÷ 1/3

11/4 * 3/1 =33/4 =8 1/4 miles in 1 hr

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Consider circle H below.
hram777 [196]

We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.

We will use arc length formula to solve our given problem.

\text{Arc length}=2\pi r\cdot \frac{\theta}{360^{\circ}}, where,

r = Radius of circle,

\theta = Central angle corresponding to arc.

We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.

78=2\cdot 3.14\cdot r\cdot \frac{70^{\circ}}{360^{\circ}}

78=2\cdot 3.14\cdot  r\cdot \frac{7}{36}

78= 3.14\cdot r\cdot \frac{7}{18}

78= r\cdot \frac{21.98}{18}

r\cdot \frac{21.98}{18}=78

r\cdot \frac{21.98}{18}\cdot \frac{18}{21.98}=78\cdot \frac{18}{21.98}

r=63.8762511373

Upon rounding to nearest hundredth, we will get:

r\approx 63.88

Therefore, the radius of circle H is approximately 63.88 miles.

7 0
3 years ago
the price of a video game was reduced by $60 to 45. By what percentage was the price of the video game reduced?
atroni [7]

Answer:

25% reduced

Step-by-step explanation:

45/60= .75

1-.75=.25

8 0
3 years ago
I need help Please!​
Pachacha [2.7K]

Answer:

36

Step-by-step explanation:

7 0
3 years ago
0.9 x 100=<br>13.79 x 100=<br>29.894 x 100=<br>​
Vladimir [108]

Answer:

multiplying by 100 "shifts" decimal point to the right by 2

90  

1379  

2989.4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please assist, thank you.
ale4655 [162]

Answer:

392 ft²

Step-by-step explanation:

Break this area into two parts, that is, into two trapezoids.  The first trapezoid, on the left, has length 8 ft and average length (30 ft + 27 ft)/2, so its area is (8 ft)(28.5 ft) = 228 ft ².

The second trapezoid has width 8 ft and average length (19 + 22)/2 ft, or 8 ft by 20.5 ft).  The area of this part is 164 ft².

Thus, the total area is 164 ft² + 228 ft², or 392 ft²

8 0
3 years ago
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