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tangare [24]
3 years ago
5

In a circle with center C and radius 6, minor arc AB has a length of 4pi. What is the measure, in radians, of central angle ACB?

PLZ EXPLAIN
A)2pi/9
B) pi/3
C)2pi/3
D)4pi/3
Mathematics
2 answers:
valina [46]3 years ago
8 0
To solve this problem, we need to know that 
arc length = r θ  where θ is the central angle in radians.

We're given
r = 6 (units)
length of minor arc AB = 4pi
so we need to calculate the central angle, θ
Rearrange equation at the beginning,
θ = (arc length) / r = 4pi / 6 = 2pi /3

Answer: the central angle is 2pi/3 radians, or (2pi/3)*(180/pi) degrees = 120 degrees
Brums [2.3K]3 years ago
7 0
Short answer <<<< C
The length of an arc is given by the formula  

\text{Arc length =}\dfrac{\theta}{2\pi}{2 \pi r} 

Since the arc length is given (4 \pi) and the radius is given (6), the central angle \theta can be found

Arc Length = theta * r
4 pi = theta * 6 Divide by 6
4 pi / 6 = theta 
theta = (2/3) pi  <<<<<< answer.


Answer C <<<<<< answer.

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Maru [420]

Answer:

3x(x-1)-5(x-1)

=3x²-3x-5x+5 (we can count it one by one)

=3x²-8x+5 (we can calculate the same variable)

#i'm from indonesia

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6 0
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Overall grade 74.47 and the assignment is quiz is 10% how can i do the math if i made a 0
Tanya [424]
If you get a 0 on it your grade will drop 5%
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3 years ago
J
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T - Shirts = $10
SweatShirts = 15$

24 *15 =360$

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8 0
3 years ago
Anfernee bought 4 umbrella and 5 hats and spent between $80.00 and 100.00. Each umbrella cost the same amount. Each hat cost the
barxatty [35]

Answer:

$15, $20

Step-by-step explanation:

Let u represent the unit price of umbrellas and h the unit price of hats.

Case 1:  A. spent $80.

Then $80 = 4u + 5($4), or $80 = $20 + 4u, or $60 = 4u, or

u = $15/umbrella.

Case 2:  A spent $100.

Then $100 = 4u + 5($4), or $100 = $20 + 4u, or $80 = 4u, or

u = $20/umbrella.

The least A. could have spent on a single umbrella was $15, and the most was $20.

6 0
3 years ago
Please help me find the answer !
Marina CMI [18]

Answer:

x = 12

y = 6√3

Step-by-step explanation:

✅Apply the intersecting secant theorem to find x. Thus:

6(6 + x) = 7(7 + 8³/7)

Convert the mixed fraction to improper fraction

6(6 + x) = 7(7 + 59/7)

36 + 6x = 49 + 59

36 + 6x = 108

6x = 108 - 36

6x = 72

Divide both sides by 6

x = 72/6

x = 12

✅Apply the tangent-secant theorem to find y. Thus:

y² = 6(6 + x)

Plug in the value of x

y² = 6(6 + 12)

y² = 6(18)

y² = 108

y = √108

y = 6√3

4 0
3 years ago
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