MATHEMATICS HIGH SCHOOL

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?

Answers

Answer 1
Answer:

Answer:

Hence, the arc length is 2π feet or 6.28 feet.

Step-by-step explanation:

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.

If the central angle is measured in degrees than the arc length is given by:

arc length=(θ\360°)×2πr.

and if central angle is measured in radians than the arc length is given by:

arc length=θr. ( where r is the radius of the circle)

where θ is the central angle.

Hence, here we have:

r= 3 ft.

and θ=2π/3.

Hence the arc length is given by:

Arc length=(2π/3)×3=2π  feet.

Hence, the arc length is 2π feet or 2×3.14=6.28 feet.
Answer 2
Answer:

Answer:

2 π

explanation:

I took the quiz

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How many pairs of parallel lines does a triangle have

Answers

Base on the question, the possible pairs of parallel lines that the triangle has, is none. Its because the said polygon has only 3 sides that are impossible to have a pair of parallel lines. I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification about the question 

A number x multiplied by 25 is 320.

Answers

Answer:

12.8

Step-by-step explanation:

Suppose S and T are mutually exclusive events, P(S) = 5%, and P(T) = 11%. Find P(S or T).

Answers

P(S or T) for mutually exclusive events = P(S) + P(T).

Then P(S or T) = 5% + 11% = 16%.

suppose you multiply a fraction Less than 1 by the mixed number 2 and 3/4 will the product be less greater or equal to 2and3/4

Answers

fraction less than one means tak a part out of it
if yo take something out of something else, it becomes smalller

therefor the produce is less than

less than is answer

What’s the length of the missing leg ??
Pls help!!

Answers

The answer i got is 12

Answer:

12

Step-by-step explanation:

If you use the pathagrem therom a^2+b^2=c^2 and fill it in it would be 9^2+b=15^2.

Then just do basic math to simplify the equation

9*9=81

15*15=225

81+b= 225

b= 225-81

b= 144

finally square root 144 and thats how you get 12

Gaming systems are on sale for 20% off the original price (g), which can be expressed with the function p(g) = 0.8g. Local taxes are an additional 12% of the discounted price (p), which can be expressed with the function c(p) = 1.12p. Using this information, which of the following represents the final price of a gaming system with the discount and taxes applied?c(p) + p(g) = 1.92g
c[p(g)] = 0.896g
g[c(p)] = 1.92p
c(p) ⋅ p(g) = 0.896pg

Answers

If you would like to know what represents the final price of a gaming system with the discount and taxes applied, you can calculate this using the following steps:

p(g) = 0.8 * g
c(p) = 1.12 * p

1.12 * p = 1.12 * 0.8 * g = 0.896 * g = c(p(g)) = c[p(g)]

The correct result would be c[p(g)] = 0.896g.

Answer:

B c[p(g)] = 0.896g

Step-by-step explanation:
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