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Zanzabum
3 years ago
7

How to work this out? In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining t

he endpoints of the arc cut off by the angle?

Mathematics
2 answers:
puteri [66]3 years ago
5 0

Answer:

The length of segment joining the endpoints of the arc is 8\ in

Step-by-step explanation:

we know that

In the triangle ABC

see the attached figure to better understand the problem

AC=BC -----> is the radius of the circle  

m

m ----> given problem (central angle)

Initially the triangle ABC is an isosceles triangle

Remember that

the sum of the internal angles of triangle must be equal to 180\°

For this particular case, the isosceles triangle ABC becomes an equilateral triangle, as the three angles are equal to 60\°

The equilateral triangle has three equal sides and tree equal angles

so

AC=BC=AB

Hence

The length of segment joining the endpoints of the arc is 8\ in



Vlad [161]3 years ago
4 0

The segment joining the endpoints of the arc cut off by the angle is 8 inches long. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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Answer:

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Step-by-step explanation:

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3 years ago
Write a real world problem that involves a percent then model the percent used in the problem
s344n2d4d5 [400]
You go to a restaurant and your bill is $35.00. Your service was excellent so you leave a 20% tip. What was the total amount paid for the bill including the tip?

10%=$1 for every $10
15%=$1.50 for every $10
20%=2% for every $10

10% of the bill would be $3.50(move the decimal to the tens place)
15% of the bill would be $5.25( halve the 10% and add it to the original 10% tip; $3.50+$1.75)
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7 0
4 years ago
Find the radius, and the approximate circumference and area of the circle below. (Use 3 for \pi)
Marina CMI [18]

Answer:

Circ=37.704, Area= 112.112

Step-by-step explanation:

Circumference= pi *Diameter

Taking pi=3.142, Diameter=12

Circ=3.142*12=37.704

Area= pi * r^2

Area= 3.142*6*6=112.112

4 0
3 years ago
The harbormaster decides how many trips the ferry needs to make for 37 cars. The ferry can carry 8 cars at a time. What is the b
katen-ka-za [31]

Answer:

By adding 1 to the quotient.

Step-by-step explanation:

The Harbormaster needs to arrange tripe for 37 cars

in one go ferry can carry a maximum of 8 cars

trips = 37/8 = 4.625 trips

Since the ferry can't go in decimals so we need one more trip to carry all the cars. Hence the best way to interpret the remainder of 37/8 is by adding 1 to the quotient which will make 5 trips.

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3 years ago
What is true about the net of a pyramid?
Elden [556K]

A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. The correct option is C.

<h3>What is the net of a 3-D shape?</h3>

A 3D shape's net is what it looks like after it's flattened out. A net can be folded into a three-dimensional shape. For the same 3D shape, there may be multiple potential networks. You can make a net out of paper and fold it into the desired shape.

The net of the square pyramid has a square and 4 triangles. For a pyramid with a base as a polygon having n sides, the number of triangles is n.

Hence, it can be concluded that a pyramid can contain any number of triangles greater than or equal to 3. Thus, the correct option is C.

Learn more about Net of a 3-D Shape:

brainly.com/question/16679841

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8 0
2 years ago
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