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slega [8]
3 years ago
13

Jshshchhshsshowjshshs

Mathematics
1 answer:
Lelu [443]3 years ago
4 0

Answer:

ctxtfbivuxtdycigigigucy

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Two gears are connected and are rotating simultaneously. The smaller gear has a radius of 3 inches, and the larger gear has a ra
Dovator [93]
Circumference of a circle is C = 2πr.

part 1)

so the radius of the smaller gear is 3 inches, so after a full rotation, namely a revolution, the smaller gear has covered an arc of 2π(3), or 6π.

what angle has the larger gear of 7 inches in radius, has it covered with an arc of 6π?

\bf \textit{arc's length}\\\\
s=r\theta ~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad radians\\
------\\
s=6\pi \\
r=7
\end{cases}\implies 6\pi =7\theta \implies \cfrac{6\pi }{7}=\theta



part 2)

since the larger gear has a radius of 7, in a revolution it will have an arc of 2π(7), or 14π.

now, we know the smaller gear does a 6π arc in a revolution, how many revolutions will it do in an arc of 14π?

\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
14\pi &x
\end{array}\implies \cfrac{6\pi }{14\pi }=\cfrac{1}{x}\implies \cfrac{3}{7}=\cfrac{1}{x}\implies x=\cfrac{7}{3}
6 0
3 years ago
1/3=?/24 <br>Which number is missing to make the equation true?​
Inessa [10]

Answer:

8

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
If a population grows by 69%, what is the multiplier?
Alexeev081 [22]
The percentage duhhhh
7 0
2 years ago
What is the order of operations to solve this problem?<br> 10 x 5 + 2 / 2 = 60
Slav-nsk [51]

Simply remember PEMDAS:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

You perform these actions from left to right.

However in this case it is not possible for it to equal 60.

8 0
3 years ago
Read 2 more answers
Two mechanics worked on a car. the first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. together they
Ksenya-84 [330]

Alright, lets get started.

Suppose first mechanic charges= x

So, second mechanic charges will be = (125 - x) (because total of their rates was 125)

first mechanic worked for 5 hours, and the second mechanic worked for 15 hours and together they charged a total of $1225

Means

5 x + 15 (125-x) = 1225

5 x + 1875 - 15 x  = 1225

1875 - 10 x = 1225

Adding 10 x in both sides

1875 - 10 x + 10 x = 1225 + 10 x \\1875 = 1225 + 10 x

Subtracting 1225 from both sides

1875 - 1225 = 1225  + 10 x - 1225\\650 = 10 x

Dividing 10 in both sides

\frac{650}{10}  =  \frac{10x}{10}

x = 65

For second mecahnics rate = 125 - 65 = 60

Hence The mechanic who worked 5 hours charged $ 65 per hour, the one who worked 15 hours charged $ 60 per hour: Answer

Hope it will help :)

3 0
3 years ago
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