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Alona [7]
3 years ago
14

An arc of a circle of radius 7cm subtends an eagle of 120degree at the centre. Find its perimeter.

Mathematics
1 answer:
Degger [83]3 years ago
4 0

Answer:

\dfrac{14\pi }{3}\ cm

Step-by-step explanation:

The circumference of the circle with radius of 7 cm is

C=2\pi r\\ \\C=2\pi \cdot 7=14\pi \ cm

An arc of a circle o subtends an angle of 120^{\circ} at the centre.

The circle has the full angle of 360^{\circ}, then

14\pi \ cm - 360^{\circ}\\ \\x\ cm - 120^{\circ}

Write a proportion:

\dfrac{14\pi }{x}=\dfrac{360}{120}\\ \\\dfrac{14\pi }{x}=\dfrac{3}{1}\\ \\14\pi =3x\\ \\x=\dfrac{14\pi }{3}\ cm

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Sally bought some candy bars for $1.25 each and some sodas for $1.49 each. If she bought a total of 38 items and spent $50.38 ho
hammer [34]

Answer:

26 candy bars and 12 sodas

Step-by-step explanation:

This problem can be solved by a simple system of equations

I am going to call x the number of candy bars that Sally bought and y the number of sodas that Sally bought.

The fact that she bought 38 itens means the x + y = 38.

She spent $50.38. The value she spent is the sum of the number of candy bars multplied by the value of the candy bar and the number of sodas multiplied by value of a soda. So 1.25x + 1.49y = 50.38

So we have to solve the following system:

1)x + y = 38

2)1.25x + 1.49y = 50.38

From 1), we have that x = 38 - y. I am going to replace it in 2)

1.25(38-y) + 1.49y = 50.38

-1.25y + 1.49y = 50.38 - 47.5

0.24y = 2.88

y = 12.

Sally bought 12 sodas.

In 1: x = 38-y = 38-12 = 26

Sally bourght 26 candy bars

6 0
3 years ago
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Answer:

buying a book of 9 round trip bus tickets from Houston to Austin for a total of $702 is a better deal because 702/9 = 78 which is less than 522/6 = 87

Step-by-step explanation:

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. Find the surface area of a sphere with diameter 30 m. Leave your answer in terms of
OlgaM077 [116]

The sphere has surface are of 900π m².

Step-by-step explanation:

Given,

Diameter = d = 30m

Radius = \frac{d}{2} =\frac{30}{2} = 15m

Surface area of sphere = 4\pi\ r^2

Surface\ area = 4*\pi *(15)^2\\Surface\ area = 4*\pi * 225\\Surface\ area= 990\pi

The sphere has surface are of 900π m².

Keywords: Surface area, multiplication

Learn more about spheres at:

  • brainly.com/question/2367554
  • brainly.com/question/2821386

#LearnwithBrainly

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3 years ago
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LekaFEV [45]

9514 1404 393

Answer:

  8

Step-by-step explanation:

Your familiarity with multiplication tables tells you ...

  64 = 8·8 = 8²

The missing base is 8.

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