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Ilia_Sergeevich [38]
3 years ago
5

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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In a lottery game, a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25
Solnce55 [7]

Answer:

17/25

Step-by-step explanation:

The equation for the probability of two events that are not mutually exclusive is:

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

A = the number is prime

B = the number is prime

The numbers are:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Here are the 8 prime numbers that satisfy event A:

3, 5, 7, 11, 13, 17, 19, 23

p(A) = 8/25

Here are the 13 numbers that are greater than 12 that satisfy event B:

13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

p(B) = 13/25

Here are the 4 numbers that satisfy both event A and event B:

13, 17, 19, 23

p(A ∧ B) = 4/25

p(A ∨ B) = p(A) + p(B) - p(A ∧ B)

p(A ∨ B) = 8/25 + 13/25 - 4/25

p(A ∨ B) = 17/25

7 0
3 years ago
What is the answer<br><br><br>do you know<br><br>but I want it As a fraction
maks197457 [2]
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Hope this is helpful
And have a great day
7 0
3 years ago
A club is choosing 2 members to serve on a committee. The club has nominated 2 women and 2 men. Based on chance alone, what is t
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3 years ago
Read 2 more answers
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