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lions [1.4K]
4 years ago
12

An arc of length 12:57 cm

Mathematics
1 answer:
matrenka [14]4 years ago
5 0

Answer:

r ≈ 12 cm

Step-by-step explanation:

arc length = circumference × fraction of circle, that is

2πr ×\frac{60}{360} = 12.57 ( multiply both sides by 360 to clear the fraction )

2πr × 60 = 4525.2

120πr = 4525.2 ( divide both sides by 120π )

r = \frac{4525.2}{120\pi } ≈ 12 cm

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SA = 37.5 ft.²

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3 years ago
If a wheel with a radius of 80 inches spins at a rate of 50 revolutions per minute, find the approximate linear velocity in mile
Lubov Fominskaja [6]
\bf \textit{arc's length}\\\\
s=rw\qquad 
\begin{cases}
r=radius\\
w=\textit{angular speed}
\end{cases}\qquad w=\cfrac{50 rev}{min}\cdot \cfrac{2\pi }{rev}
\\\\\\
w=\cfrac{100\pi }{min}\qquad s=80in\cdot \cfrac{100\pi }{min}\implies s=\cfrac{8000\pi\  in}{min}\\\\
-------------------------------\\\\
\textit{now to convert it to miles/hr}
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3 0
3 years ago
I need help please????
Feliz [49]

Answer:

x = - 1

Step-by-step explanation:

Given

3x + 2 = y and y = - 1

Substitute y = - 1 into the equation and solve for x, that is

3x + 2 = - 1 ( subtract 2 from both sides )

3x = - 3 ( divide both sides by 3 )

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8 0
3 years ago
Read 2 more answers
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7 0
4 years ago
4.
oksano4ka [1.4K]

Step-by-step explanation:

a = age of Alex

l = age of Lucy

m = age of Megan

a + l + m = 126

l = 3a

l = m + 7

=>

a = l/3

m = l - 7

we are using that in the first equation :

l/3 + l + l - 7 = 126

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7l = 357

l = 357/7 = 51

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the ratio of the age of Lucy to Alex to Megan is

51 : 17 : 44

7 0
2 years ago
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