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3 years ago

2. Find the measure of the central angle.*

Mathematics

1 answer:

11111nata11111 [884]3 years ago

5 0

Answer: The central angle is 59 degrees.

Step-by-step explanation:

The sector or Arc Length is 59 degrees and the central angle is also 59 degrees, because the central angle equals the same measurement as the sector.

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If a line segment contains one endpoint at (2,3) and has a midpoint of (-2,6) what is the second endpoint of the line segment

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Answer:

Step-by-step explanation:

The coordinates of the midpoint M are the average of the coordinates of the two endpoints:

$M_x = \dfrac{2+x}{2},\quad M_y = \dfrac{3+y}{2}$

Plug the known coordinates of the midpoint:

$-2 = \dfrac{2+x}{2},\quad 6 = \dfrac{3+y}{2}$

Solve for x and y:

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Answer:

Step-by-step explanation:

If the radius of a cylinder is increased by 20% and its height is decreased by 10%.

To find : What is the percentage change in the volume?

Solution :

Let r be the radius of cylinder is increased by 20%

i.e,

The old radius is 5 and new radius is 6.

Let h be the height of cylinder is increased by 10%

i.e,

The old height is 10 and new height is 11.

The volume of old cylinder with r=5 and h=10

The volume of new cylinder with r=6 and h=11

Volume change is

Percentage change is

Therefore, The percentage change in the volume is 6.4%.

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