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Ratling [72]
3 years ago
13

HELP WITH THIS QUESTION PLEASE AND THANK YOUU!!!

Mathematics
1 answer:
lana66690 [7]3 years ago
3 0

Answer:

s = 35pi units

We can either leave it with pi in the answer or approximate

s= 109.9557429 units

Step-by-step explanation:

Arc length is found by

s = r * theta where r is the radius and theta is given in radians

Changing the angle from 150 degrees to radians by multiplying by pi/180

150 *pi/180 = 5/6 pi

Now we can use the formula

s = 42 * 5/6 pi

s = 35pi

We can either leave it with pi in the answer or approximate

s= 109.9557429 units

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Write the equation of the line passing through the given pair of points. (-9, 7) and (-9, -1)
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The first thing I should do with these two points is find the slope of the line.

m = (y2 - y1)/(x2 - x1)

m = (-1 - 7)/(-9 - -9)
m = -8/0

The slope is undefined. We cannot divide by 0. This makes sense because the points (-9, 7) and (-9, -1) would be right on top of each other.  This is a vertical line that has an x-intercept at -9. 

Your equation would be x = -9.
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If my answer is 3 what number card Am I thinking of if you add 8 to the number then subtract 7
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4 years ago
During the summer holidays sarah earns pocket money by mowing lawn. She can mow 6 lawns in 1 1/2 and clean the pool in one-sixth
tigry1 [53]

Answer:

It will take Sarah 2 1/2 hours to mow 10 lawns

It will take Sarah 1 2/3 hours to clean 10 pools

Step-by-step explanation:

During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?

Number of lawns : Time to mow lawns = 6 : 1 1/2

= 6 : 3/2

Number of lawns : Time to mow lawns = 10 : x

6 : 3/2 = 10 : x

6 ÷ 3/2 = 10/x

6 * 2/3 = 10/x

12/3 = 10/x

Cross product

12 * x = 3 * 10

12x = 30

x = 30/12

x = 2 6/12

x = 2 1/2 hours

It will take Sarah 2 1/2 hours to mow 10 lawns

Number of pools cleaned : time taken = 1 : 1/6

Number of pools cleaned : time taken = 10 : x

1 : 1/6 = 10 : x

1 ÷ 1/6 = 10/x

1 * 6/1 = 10/x

6 = 10/x

Cross product

6 * x = 10

6x = 10

x = 10/6

x = 1 4/6

x = 1 2/3 hours

It will take Sarah 1 2/3 hours to clean 10 pools

3 0
3 years ago
It takes Claudia 1/4 of an hour to make a pizza. Claudia has 4 hours to make pizzas. How many pizzas can Claudia make during thi
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Answer:

16

Step-by-step explanation:

divide 4 by .25 (or 1/4) and you get 16

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