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3 years ago

Find the length of each bolder arc to the nearest hundredth

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

5 0

Answer: For the bolded arc (angle of 107°) the lenght is 11.20 meters.

Step-by-step explanation:

Here we have two arcs.

one where the angle is 107°.

And for the other, we do not know the value of the angle, but we know that a circle has (between the start of quadrant 1 and the end of quadrant 4) an angle of 360°.

Then the missing angle is 360° - 107° = 253°.

Now, the length of an arc is equal to:

Arc = angle*pi*radius

where the angle is in radians, pi = 3.14.

In this case, the radius is = 6m.

To transform an angle from degrees to radians, we can do:

180° = 3.14

then for an angle A in degrees, we have: A => A*(3.14/180°) = (A/180°)*3.14

Then, the length of the shorter arc (the bolded one) is:

A1 = (107°/180°)*3.14*6m = 11.20m

For the other arc we do the same:

A2 = (257°/180°)*3.14*6m = 26.90 m

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Answer:

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Step-by-step explanation:

In the picture attached, the points are shown

Point A is between π/2 radians (90°) and π radians (180°). The only possible option is 3π/4

Point B is between π radians (180°) and 3π/2 radians (270°). The only possible option is 9π/7

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Answer:

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Step-by-step explanation:

Given,

n = 100

Range of heights = 138 - 190cm

Range of weight = 39 to 150 kg

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Significance level = 0.05

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Therefore,

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PIT_PIT [208]

Answer:

Step-by-step explanation:

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