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IgorLugansk [536]
2 years ago
15

Find the length of arc ABC. Express answer in terms of pi. PC=18in

Mathematics
2 answers:
lara31 [8.8K]2 years ago
7 0

Answer: 27\pi

Step-by-step explanation:

In the given figure we have given a circle in with radius PC = 18 inches

Also, the central angle made by arc AC 90^{\circ} or \dfrac{\pi}{2}

Since the sum of angles at a point is  2\pi

Then , the central angle made by arc AC :-

\theta=2\pi-\dfrac{\pi}{2}=\dfrac{3\pi}{2}

The formula to find the arc length is given by :-

l=r\theta

Then the length of arc ABC will be :-

l=(18)(\dfrac{3\pi}{2})=27\pi

Hence, the length of arc ABC = 27\pi

Lapatulllka [165]2 years ago
3 0

The formula would be 2 * pi * (central angle)/360

Hence, 2 * 22/7 * 270/360 => 84.823 in.

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The weekly ad for a local grocery store advertises a 5 pound bag of organic apples for $13.95. Round each rate to the nearest hu
stich3 [128]

Answer:

Step-by-step explanation:

Given that in the weekly ad 5 pound bag of organic apples will cost 13.95 dollars

To find unit rate

Unit rate can be found in two ways either cost of 1 apple or no of apples for 1 dollars

I part:

5 apples = 13.95 dollars

1 apple = 13.95/5 (since direct variation)

Unit rate for one apple= 2.79 dollars

Part II:

13.95 dollars = 1 apple

1 dollar = 1/13.95 = 0.071

=0.07

But normally since apples are countable as 1,2 ... we use the first type of rate only unit rate per apple

6 0
3 years ago
1 - (2n + 9) = 4(1-2)
Vikki [24]

Answer:

n=-2

Step-by-step explanation:

1−(2n+9)=4(1−2)

1+−1(2n+9)=4(1−2)

1+−1(2n)+(−1)(9)=4(1−2)

1+−2n+−9=4(1−2)

1+−2n+−9=−4

(−2n)+(1+−9)=−4

−2n+−8=−4

−2n−8=−4

−2n−8+8=−4+8

−2n=4

Divide both sides by -2

-2n/2=4/-2

n=-2

6 0
3 years ago
Read 2 more answers
What is the ordered pair solution for y>= 1/3x+4
blondinia [14]

Answer:

Step-by-step explanation:

y > (1/3)x + 4 has an infinite number of solutions.  Draw a dashed line representing y = (1/3)x + 4 and then pick points at random on either side of this line.  For example, pick (1, 6).  Substitute 1 for x in y > (1/3)x + 4 and 6 for y.  Is the resulting inequality true?  Is 6 > (1/3)(1) + 4 true?  YES.  So we know that (1, 6) is a solution of y > (1/3)x + 4.  Because (1, 6) lies ABOVE the line y = (1/3)x + 4, we can conclude that all points abovve this line are solutions.

6 0
2 years ago
Please help and show all work.
Stels [109]
1. 73
2.40
3.78
werent too hard
4 0
2 years ago
The ratio of boys to girls in a group is 7:1. If there are 66 more boys than girls, work out how many girls there are
nevsk [136]

Answer:11

Step-by-step explanation:

Boys : girls=7:1

Sum of ratio=7+1=8

Let them number of girls be y

Then they number of boys=y+66

Total number of pupils=y+y+66

Total number of pupils=2y+66

Number of girls=(girls ratio)/(sum of ratio) x (total number of pupils)

y=1/8 x (2y+66)

Cross multiply

y x 8=2y + 66

8y=2y + 66

Collect like terms

8y-2y=66

6y=66

Divide both sides by 6

6y/6=66/6

y=11

The number of girls is 11

4 0
2 years ago
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