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Masteriza [31]
3 years ago
5

In Circle O, centrally angle AOB measures π/3 radians.What is the length of arc AB?

Mathematics
1 answer:
Oksanka [162]3 years ago
5 0

Answer:

s=r*\pi /3

Step-by-step explanation:

The length of any arc is calculated using the following equation:

s = r*θ

Where s is the length of the arc, r is the radius of the circle and θ is the angle in radians.

So, if we have a Circle O and a centrally angle AOB that measures π/3 radians, the value of the length of arc AB is calculated as:

s=r*\pi /3

Where r is the radius of the circle O.

You might be interested in
runben sees 14 wheels on a total of 6 bicycles and tricycles how many bicycles and tricycles are there
olganol [36]

Answer:

B = 4

T = 2

Step-by-step explanation:

First, figure out the equation.

We know that bicycles have 2 wheels, that there are 3 on a tricycle, and there are a total of 14 wheels and a total of 6 bicycles and tricycles.

Let b stand for bicycles and t stand for tricycles:

14 = 2b + 3t

6 = b + t

We can figure out the amount of either by rearranging the second equation to isolate one variable. I will solve it in two ways

In the first way, I will solve for b

(-t) 6 = b + t (-t)

6 - t = b

Plug this into the first equation and solve for remaining variable

14 = 2(6 - t) +3t

14 = 12 - 2t + 3t

14 = 12 +t

-12   -12

2 = t

6 - 2 = b

b = 4

The second way was to solve for t first

(-b) 6 = b + t (-b)

6 - b = t

14 = 2b + 3(6 - b)

14 = 2b + 18 - 3b

(-18) 14 = 18 -b  (-18)

-4/-1 = -b/-1

b = 4

6 - 4 = t

t = 2

It doesn't matter which way you go, they both give you the exact same answer.

Sooo, recap!

1) write equations

2) switch the easier of the two to isolate one variable

3) substitute to find other variable  (x2)

4) Find answers! =D

Hope this helps!

8 0
2 years ago
An organization has members who possess IQs in the top 4% of the population. If IQs are normally distributed, with a mean of 100
murzikaleks [220]

Answer:

The minimum IQ score will be "126".

Step-by-step explanation:

The given values are:

Mean

\mu = 100

Standard deviation

\sigma=15

Now,

⇒ P(z>x)=4 \ percent \ i.e., 0.04

⇒ P(z>\frac{x- \mu}{\sigma} )=0.04

⇒ 1-P(z \leq \frac{x-100}{15})=0.04

⇒ \frac{x-100}{15}=z0.96

            =NORMDIS(z=0.96)

            =1.751

⇒ x=100+15\times 1.751

      =126.265 \ i.e., 126

7 0
3 years ago
Complete the equations bellow.
Step2247 [10]
What equations? Explanation:
7 0
3 years ago
Using a straight path, how far is a point located at (9,-5) from the origin? Round your answer to the nearest tenth.
Iteru [2.4K]
The answer is 10square root 7
4 0
3 years ago
Step 4: Make a prediction with your data.
Keith_Richards [23]

Answer:

estimated gpa:  2.85

Step-by-step explanation:

Evaluate y=0.14x+0.75 at x = 15 (hours):

y = 0.14(15 hours) + 0.75

  = 2.1 + 0.75

y  =  2.85  =  estimated gpa corresponding to 15 houirs of study

3 0
2 years ago
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