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sergij07 [2.7K]
3 years ago
7

If the diameter of a circle is 5 centimeters, how long is the arc sub tended by an angle measuring 60 degrees?

Mathematics
1 answer:
jenyasd209 [6]3 years ago
7 0

Answer:

3/5pi

Step-by-step explanation:

The formula of getting the arc length is

arc length = angle * pi / 180 * r

arc length = 60 * pi / 180 * 5

arc length = 300 * pi / 180

arc length = 5pi / 3

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8 0
3 years ago
in a school gym, the ratio of the number of boys to the number of girls was 4:3 . after 160 boys left the gym, the ratio became
Annette [7]

Answer:

300 girls were there in the gym.

Step-by-step explanation:

Given:

The ratio of the number of boys to the number of girls was 4:3, after 160 boys left the gym, the ratio became 4:5.

Now, to find the number of girls in the gym.

The girls in the gym does not left, their quantity is same before and after.

So, we multiply the both ratios to make the girls ratio same:

4:3 × 5 = 20:15

4:5 × 3 = 12:15

Now, <em>we find the units of the ratio</em>.

<em>The ratio of boys dropped down by 160</em>:

20 - 12 = 8 units.

160 = 8 units

Now, dividing both sides by 8 we get:

20 = 1 unit

So, 1 unit = 20.

Now, girls = 15 units

So, 15 × 20 = 300.

Therefore, 300 girls were there in the gym.

3 0
4 years ago
Number 8 and 9 pls, if u answer u get brainlist rank!
mylen [45]

Answer:

8.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

3a + b = 21

5a + b = 35

Subtract the 2 equations:

=> 2a = 14 => a = 7 => b = 21 - 3 x 7 = 0

=> The solution is  y = 7x

9.

Denote the equation : y = ax + b

Use the first 2 values of x and y in table:

5a + b = 17

10a + b = 22

Subtract the 2 equations:

=> 5a = 5 => a = 1 => b = 17 - 5 x 1 = 17 - 5 = 12

=> The solution is  y = x + 12

Hope this helps!

:)

8 0
3 years ago
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