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astraxan [27]
3 years ago
13

I know you add it but can you please help and show work

Mathematics
1 answer:
kondaur [170]3 years ago
5 0
Answer is b i know this
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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
Nadia selects three marbles from the jar to the right without replacing them. What is the probability that all three marbles are
Savatey [412]
Not very likely. Does a picture come with this question.
4 0
3 years ago
Uhm help please no links -^-
devlian [24]

Answer:

<u>x = 58</u>

Step-by-step explanation:

180 - 148 = 32

32 + 90 + x = 180

122 + x = 180

180 - 122 = x

x = 58

Have a nice day!

6 0
3 years ago
Read 2 more answers
The radius of a circle is (7n-21) inches find circumference of the circle in terms of n.
hodyreva [135]

Answer:

(14n - 42)*pi

Step-by-step explanation:

Circumference is 2 * pi * r. Since r in this case is 7n - 21, you can multiply r by 2 and pi, giving you (14n - 42)*pi

4 0
3 years ago
Which of the following graphs the equation. <br> Y=1/3x -2
olga_2 [115]

Answer:

I don't know your answer options, but this is what the graph would look like:

**please mark brainliest!!

3 0
3 years ago
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