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Oksanka [162]
4 years ago
14

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]
-------------------------------------------------------------------------------------------------
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

-------------------------------------------------------------------------------------------------
The 15 litres of juice is 13% orange juice
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0.25x + 0.1y = 15 x 0.13
0.25x + 0.1y = 1.95

-------------------------------------------------------------------------------------------------
Rewrite the equations and solve for x and y
-------------------------------------------------------------------------------------------------
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)

0.25 (15 - y) + 0.1y = 1.95
3.75 - 0.25y + 0.1y = 1.95
0.15y  = 1.8 
y = 18 ÷ 0.15
y = 12 ------------- (substitute into Equation 1)

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

x = 3 and y = 12

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

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:

\frac{1.5(10)^{3} }{5.0(10)^{2}} = \frac{1.5(10)}{5} = \frac{15}{5}  = 3 times faster

5 0
3 years ago
Evaluate k (t) = 10t-19 at the specified input. <br> k(-7) = <br><br> Explain your answer.
mr_godi [17]
Plug -7 for x

10*-7 = -70 - 19 = -89

<span>k(-7) = -89</span>
8 0
3 years ago
Read 2 more answers
What is the sum of 1/2 +1/4? Use the fraction strip to help
nalin [4]

Answer:

3/4 or 0.75

Step-by-step explanation:

\frac{1}{4} +\frac{1}{2}= \frac{1}{4}+\frac{2}{4} = \frac{3}{4}

5 0
3 years ago
A drive-in theater costs $20 per car, plus an additional fee of $4 per person. The cost, C, of the movie when p people are in th
ozzi

Answer:

P=\frac{C}{4} -5

Step-by-step explanation:

Step one:

given

cost  per drive= $20

additional fee per person= $4

let the number of persons be p

and the total cost be C

The total cost function is expressed as

C=20+4p

Step two:

Required:

<u><em>We want to make P subject of the cost function </em></u>

Take 20 to the other side we have

C-20=4p

divide through by 4

P=C-20/4

simplify

P=C/4-5

P=\frac{C}{4} -5

8 0
3 years ago
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