A circle has a radius of 63 cm.

Mathematics

2 answers:

Montano1993 [528]4 years ago

4 0

Arc length = radius * central angle (in radians)
arc length = 63 * 2PI/9 radians
arc length = 14 PI

Alika [10]4 years ago

4 0

Answer:

$14\pi\ cm$

Step-by-step explanation:

we know that

The formula to calculate the arc length of the circle is equal to

$arc\ length=r \theta$

where

$r$ is the radius

$\theta$ is the central angle in radians

In this problem we have

$r=63\ cm$

$\theta=\frac{2\pi}{9}$

substitute the values

$arc\ length=63(\frac{2\pi}{9})$

$arc\ length=14\pi\ cm$

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one canned juice drink is 25% orange juice ; another is 10% orange juice. how many liters of each should be mixed towing order t

JulijaS [17]

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Assumptions
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Let x be the amount of 25% orange juice
Let y be the amount of 10% orange juice

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There are 15 litres of 13% orange juice
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x + y = 15

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The 15 litres of juice is 13% orange juice
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0.25x + 0.1y = 15 x 0.13
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Rewrite the equations and solve for x and y
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x + y = 15 ----------------------- (Equation 1)
0.25x + 0.1y = 1.95 ----------- (Equation 2)

(Equation 1):
x + y = 15
x = 15 - y ----------- (Substitute into Equation 2)

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0.15y = 1.8
y = 18 ÷ 0.15
y = 12 ------------- (substitute into Equation 1)

x + y = 15
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x = 15 - 12
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x = 3 and y = 12

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Answer: 3 liters of 25% of orange juice with 12 liters of 10% orange juice
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7 0

3 years ago

A jet fighter is capable of reaching speeds up to 1.5 x 10^3 miles per hour. A typical passenger plane can reach speeds of appro

Volgvan

Answer:

3 times faster

Step-by-step explanation:

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