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IgorLugansk [536]
3 years ago
15

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

Mathematics
2 answers:
lara31 [8.8K]3 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]3 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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antoniya [11.8K]

-5x=60

The first thing we want to do is to divide -5 on both sides. We do this because -5x, is the same as -5 times x and we want to do the inverse of that.

After we divide on both sides, we get    x=60/-5

We know that 60 divided by -5 is -12.

Therefore our answer is:      x=-12

----------------------------------------------------------------------------------------------------------

5= n + 2

We always want to get the variable to be alone, so if we subtract by 5 we would be doing the opposite of getting the variable alone. Although, if we subtract by 2 on both sides, we would get the variable alone and the answer would be 3=n

Therefore our answer is:       False

----------------------------------------------------------------------------------------------------------

2(x-7)

By looking at this question, we see x being subtracted by 7. Then we see that 2 is being multiplied to that.

Therefore our answer is:        C

----------------------------------------------------------------------------------------------------------

The product of a number and 4 increased by 8

In these types of questions, it's smart to break it up. We will start with the product of a number and 4. We know that a number is a variable and if we look at the multiple choice answers we can see that the variable they chose to use is n. We also know that a product is when numbers get multiplied. So that means 4 and n get multiplied which turns into 4n.

For the other part of the problem, we know that increased by 8 means added my 8. Now that we got our answers, we put then together.


Therefore our answer is:       A    4n+8

----------------------------------------------------------------------------------------------------------

Pls give a like if this helped you!!!

4 0
2 years ago
Read 2 more answers
Which graph has a slope of ? A coordinate plane with a straight line. The line starts at (negative 5, negative 4) and passes thr
VikaD [51]

Answer:

slope of the first line: 1

slope of the second line: 0.778

slope of the third line: 0.375

slope of the fourth line: 1.25

Step-by-step explanation:

Given two points (x1, y1) and (x2, y2), the slope of a line is computed as follows:

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

Therefore,

slope of the first line: [5 - (-4)]/[4 - (-5)] = 1

slope of the second line: [5 - (-2)]/[4 - (-5)] = 0.778

slope of the third line: [2 - (-1)]/[3 - (-5)] =  0.375

slope of the fourth line: [5 - (-5)]/[4 - (-4)] = 1.25

5 0
3 years ago
Read 2 more answers
The area of a triangular block is 16 squre inches. If the base of the triangle is twice the height, how long are the base and th
klemol [59]
The area of a triangle can be calculated using the formula 

1/2 (base) (height)

Let's substitute our known values, letting x represent the value of the height of the triangle.

16  = 1/2* x* 2x

Let's Simplify!

16 = x^2

Finally, lets take the square root of both sides, to get rid of the exponent on the right side of the equation.

x= positive OR negative 4.

However, because x is equal to the height, we know that it can't be negative, so we know that it is positive 4.

The height of the triangle = 4 inches
The base of the triangle = 2h = 8 inches

6 0
3 years ago
Whats the rate if 13 inches of snow in 7 hours
dem82 [27]

Answer:

1.86 (rounded to nearest hundredth) inches of snow in 1 hour

Step-by-step explanation:

Divide 13 inches of snow by 7 hours

The answer is 1.8571428571428571428571428571429

Round to the nearest hundredth

1.86

Hope this helped :)

5 0
3 years ago
Read 2 more answers
What is the value of y?<br><br><br><br> Enter your answer in the box.<br> y =
Nataliya [291]
The answer to this question is y=28

6 0
3 years ago
Read 2 more answers
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