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Thepotemich [5.8K]
3 years ago
14

Both circle A and circle B have a central angle measuring 140°. The ratio of the radius of circle A to the radius of circle B is

2 3 . If the length of the intercepted arc for circle A is 3 4 π, what is the length of the intercepted arc for circle B? A)
6
7
π
B)
7
5
π
C)
7
8
π
Eliminate
D)
9
8
π
Mathematics
1 answer:
beks73 [17]3 years ago
3 0
Let 
rA--------> radius of the circle A
rB-------> radius of the circle B
LA------> <span>the length of the intercepted arc for circle A
</span>LB------> the length of the intercepted arc for circle B

we have that
rA/rB=2/3--------> rB/rA=3/2
LA=(3/4)<span>π
</span>
we know that
if <span>Both circle A and circle B have a central angle , the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the length of circle A to the length of circle B
</span>rA/rB=LA/LB--------> LB=LA*rB/rA-----> [(3/4)π*3/2]----> 9/8π

the answer is
the length of the intercepted arc for circle B is 9/8π
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What is the inverse function of f(x) = 25x-3?
Harrizon [31]

Answer:

The answer is

<h2>{f}^{ - 1} (x) =  \frac{x +3 }{25}</h2>

Step-by-step explanation:

f(x) = 25x - 3

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That's

y = f(x)

We have

y = 25x - 3

Next interchange the terms that's x becomes y and y becomes x

x = 25y - 3

<u>Next solve for y</u>

Move 3 to the other side of the equation

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5 0
3 years ago
NEED HELP ASAP!!!!!!!!!!!
Ivanshal [37]

Answer:

a.  \frac{x + 3}{21}=\frac{x + 1}{15}

b. x = 4 (see steps below)

Step-by-step explanation:

Since the two polygons are similar, the sides are proportional to each other.  Using a proportion, you can solve for 'x' using cross-multiplication and division:

\frac{smaller}{larger}=\frac{x + 3}{21}=\frac{x + 1}{15}

Cross-multiply: 15(x + 3) = 21(x + 1)

Distribute:  15x + 45 = 21x + 21

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Subtract '21' from both sides: 45 - 21 = 6x + 21 - 21 or 24 = 6x

Divide by 6 on both sides: 24/6 = 6x/6

Solve for x: x = 4

4 0
3 years ago
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