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kirza4 [7]
2 years ago
13

A circle has radius 9.5 cm. Find the length of the arc intercepted by a central angle with measure 120°​

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
8 0

Answer:

Step-by-step explanation:

Discussion

If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.

Formula

Arc Length = (120/360) * 2 * pi * r      Substitute values into this equation.

Givens

Central angle = 120

r = 9.5

Solution

Arc Length = (120/360) * 2 * 3.14 * 9.5

Arc Length = (0.333) * 2 * 3.14 * 9.5

Arc Length = 19.87 cm

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Explain the steps on how u got the answer <br> ••••••••••••••••••
dem82 [27]

Answer:

volume of cyclinder=πr²h

=3.14×2²×3=37.68cm³

rectangular prism volume=6×5×7

=210cm³

total volume=37.68+210=247.68cm³

6 0
3 years ago
Read 2 more answers
The average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed. What is
Anna35 [415]

Answer:

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

Step-by-step explanation:

We are given that the average human gestation period is 270 days with a standard deviation of 9 days. The period is normally distributed.

Firstly, Let X = women's gestation period

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = average gestation period = 270 days

            \sigma = standard deviation = 9 days

Probability that a randomly selected woman's gestation period will be between 261 and 279 days is given by = P(261 < X < 279) = P(X < 279) - P(X \leq 261)

         P(X < 279) = P( \frac{ X - \mu}{\sigma} < \frac{279-270}{9} ) = P(Z < 1) = 0.84134

         P(X \leq 261) = P( \frac{ X - \mu}{\sigma} \leq \frac{261-270}{9} ) = P(Z \leq -1) = 1 - P(Z < 1)

                                                           = 1 - 0.84134 = 0.15866

<em>Therefore, P(261 < X < 279) = 0.84134 - 0.15866 = 0.68</em>

Hence, probability that a randomly selected woman's gestation period will be between 261 and 279 days is 0.68.

3 0
3 years ago
A cup of coffee at 85 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 5 de
bezimeni [28]

Answer: k = - 6.6667

Step-by-step explanation:

this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.

let us begin.

Given that ;

dT/dt = k ( Tm - T)       where Tm is the temp of the medium

dT/dt = 5 degrees Celsius per minute    when T = 70

so we have that, 5 = k ( 25 - 70)

remember to convert 5 degree celsius per minute to seconds

we have that;

5*60(sec) = k ( 25 - 70)  

k = 5*60 / ( 25 - 70)

k = - 6.6667

note K is negative because we consider it for cooling process  (temp decreasing).

cheers i hope this helps!!!

3 0
3 years ago
I need help on this one please
Advocard [28]
1 lemon costs 20p and 1 orange costs 45p so an orange costs 25p more
7 0
4 years ago
Is the measurement that combines both the speed and direction of a
Kryger [21]
Velocity is a measure of both speed and direction of motion. Velocity is a vector, which is a measurement that includes both size and direction. Velocity can be represented by an arrow, with the length of the arrow representing speed and the way the arrow points representing direction.
4 0
3 years ago
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