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GalinKa [24]
4 years ago
13

Find the length of an arc of an 8" radius circle if the arc measures 45°. 2 in. 8 in. 16 in.

Mathematics
1 answer:
Aleks [24]4 years ago
6 0

Answer: 2π inches or 6.28 inches

Step-by-step explanation:

 To solve this problem you must apply the formula shown below:

arclenght=(2r\pi)(C/360)

Where r is the radius (r=8 inches) and C is the central angle (45°).

Then, you must subsitute values into the formula.

Therefore, you obtain that the length of the arc is:

arclenght=(2(8in)\pi)((45/360)

arclenght=2\pi\ in=6.28in

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Answer:

Length: 12

Width: 2\sqrt{10\\}

Area: 24\sqrt{10\\}

Step-by-step explanation:

We first find the points of C and D to find the length.

C: (-4,-5)

D: (2,-3)

The distance is 2\sqrt{10\\.

Now for the height.

A: (2,9)

D: (2,-3)

The distance is 12.

Area: 2\sqrt{10\\×12 = 24\sqrt{10\\}

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Step-by-step explanation:

6 0
3 years ago
A total of 611 tickets were sold for the school play. They were either adult tickets or student tickets. There were 61 more stud
Sergio039 [100]

Answer:

Adult tickets=275

Step-by-step explanation:

form 2 equations from the given info.

x+y=611

y=x+61

x being the adults and y being the students tickets

then substitute the y equation into the first equation.

x+x+61=611

2x+61=611

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and you can check by putting 275 back into the original equations :)

7 0
3 years ago
What is the value of x?
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180 = 9 + 15 + 2x - 1 + 3x

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180 = 23 + 5x

180 - 23 = 5x

157 = 5x

Divide both sides by 5

X = 31.4 or 157/5
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3 years ago
The number of turtles in a pond is four more than twice the number of crocodiles.
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