I'll Give Brainliest if right. Find the slope of the line using the origin and point (2,8)

Mathematics

1 answer:

mars1129 [50]2 years ago

6 0

The slope is 4 because you go up 4 and over one which created the slope 4/1 which is just 4

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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?

$\bf \begin{array}{ccll}
arc&revolution\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6\pi &1\\
14\pi &x
\end{array}\implies \cfrac{6\pi }{14\pi }=\cfrac{1}{x}\implies \cfrac{3}{7}=\cfrac{1}{x}\implies x=\cfrac{7}{3}$

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2 years ago

The volume of construction work was increased by 60% but the productivity of labor increased by only 25%. By what percent must t

777dan777 [17]

<span>The number of workers must be increased by 28%.</span>

5 0

2 years ago

Pls help me I only have 2 minutes left winner gets brainliest

devlian [24]

Answer:

i think it was about 5000.

Step-by-step explanation:

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2 years ago

0.8 times x is less than 0.6

suter [353]

False. Anything times 0.8 except 0, is 0.8 or more.

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2 years ago

You have a 1 in 4 chance of winning a game. How would you calculate the probability that you will win 3 times in a row?

Ierofanga [76]

Answer:

<u>The probability of winning three games in a row is 1/64 or 1.6%</u>

Step-by-step explanation:

Probability of winning a game = 1/4

Probability of winning two games in a row = 1/4 * 1/4 = 1/16

Probability of winning three games in a row = 1/4 * 1/4 * 1/4 = 1/64

Probability of winning three games in a row = (1/4)³ = 1/64

1/64 = 0.015625

1/64 = 1.6% (rounding to the next tenth)

5 0

3 years ago