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Semmy [17]
3 years ago
9

A circle with circumference 6 has an arc with a 20 central angle, What is the length of the arc?

Mathematics
2 answers:
nirvana33 [79]3 years ago
8 0

Answer:

0.3 units

Step-by-step explanation:

The ratio of the length of the arc to the circumference of the circle is proportional to the ratio of the central angle to the sum of angle in a circle.

\frac{l}{6}=\frac{20}{360}

This implies that:

l=\frac{20}{360}*6

This simplifies to: l=\frac{20}{60}

l=\frac{1}{3}=0.3 units

DENIUS [597]3 years ago
6 0

Answer:

S=1/3

Step-by-step explanation:

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Rama09 [41]
Answer: x=15

Explanation: you can set 2x+100 = 5x+55 because they are corresponding interior angles.

Work:
2x+100 = 5x+55
2x+100-5x = 55
2x-5x = 55-100
-3x = -45
divide by -3 to cancel the negative and get x by itself
x = 15

Hope this helped! :)
5 0
3 years ago
A rectangular picture frame has perimeter of 58 inches. The height of the frame is 18 inches. What is the width of the frame?
Stells [14]

Answer:

11 inches

Step-by-step explanation:

A rectangle's perimeter can be found using:

p=2l+2w

We know that the perimeter, p, is 58, and the length/height is 18. Therefore, we can substitute those values in

58=2(18)+2w

Multiply 2 and 18

58=36+2w

Since we want to find the width, we need to get w by itself. First, subtract 26 from both sides

58-36=36-36+2w

22=2w

Since w is being multiplied by 2, divide both sides by 2. This will cancel out the 2, and leave w by itself.

22/2=2w/2

11=w

So, the width is 11 inches

8 0
3 years ago
Lucy ate eight more than three times as many pretzels as Matt Lucy ate 56 pretzels how many pretzels did Matt eat
mr_godi [17]

Answer:

53

Step-by-step explanation:

56-3

5 0
4 years ago
Two glasses contain orange juice.
EastWind [94]

Step-by-step explanation:

Amount of orange juice in 400ml glass

= 400ml * (40%/100%) = 160ml.

Amount of orange juice in 300ml glass

= 300ml * (1/2) = 150ml.

Since 150ml < 160ml, the 300ml glass contains less orange juice.

8 0
3 years ago
CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM​
Zielflug [23.3K]

Answer:

consistent

Step-by-step explanation:

The two equations have different slopes, so they intersect at one point. That point is the solution. That makes this system of equations consistent.

4 0
4 years ago
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