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Eva8 [605]
2 years ago
5

The circumference of Circle K is $\pi$ . The circumference of Circle L is $4\pi$ . Two circles, one labeled "Circle K" and the o

ther as "Circle L." What is the value of ratio of their circumferences? Of their radii? Of their areas? Write the ratios as fractions in simplest form.
Mathematics
1 answer:
timurjin [86]2 years ago
3 0

Answer:

Step-by-step explanation:

Given the circumference of Circle K = π

circumference of Circle L = 4π

Ratio of their circumferences = Ck/Cl

Ratio of their circumferences = π/4π

Ratio of their circumferences = 1/4 = 1:4

For their radii

C = 2πr

for circle k with circumference π

π = 2πrk

1 = 2rk

rk = 1/2

for circle l with circumference 4π

4π = 2πr

4 = 2r

r = 4/2

rl = 2

ratio

rk/rl = 1/2/2

rk/rl = 1/4 = 1:4

for the areas

Area of a circle = πr²

for circle k

Ak = π(1/2)²

Ak = π(1/4)

Ak = π/4

for circle l

Al = π(2)²

Al = 4π

Ratio of their areas

Ak/Al = π/4/(4π)

Ak/Al = π/16π

Ak/Al = 1/16 = 1:16

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What is the value of x that makes PQ←→||RS←→?
Inessa05 [86]

Answer:

x = 55

Step-by-step explanation:

For PQ and RS to be parallel then

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3 years ago
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3 0
2 years ago
Latoya's annual salary is $26,000. A total of $7352.24 will be deducted for taxes and health insurance. She will receive her pay
Anna71 [15]

Step-by-step explanation:

Lets translate this word problem into math.

"Latoya's annual salary is $26,000" = We start with the number 26,000

"A total of $7352.24 will be deducted for taxes and health insurance" = It's the number we started with "deducted" (minus) 7352.24

"She will receive her paycheck monthly in 12 equal installments" = Our number will be divided by 12

"How much will she get paid with each paycheck?" = "Find answer pls thx"

To put it all together...

\frac{26,000-7,352.24}{12}

Now all we have to do is solve!

\frac{26,000-7,352.24}{12}

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\frac{18,647.76}{12}

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1,553.98

Answer:

Latoya will get paid $1,553.98 with each paycheck.

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