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gayaneshka [121]
2 years ago
13

A gear rotates one degree each second. If it rotates for 2 minutes, how many degrees will it measure

Mathematics
1 answer:
Lady_Fox [76]2 years ago
7 0
Asked and answered elsewhere.
brainly.com/question/8943668
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A roulette wheel has 37 numbers (0 through 36).
NeX [460]

\large\boxed{\frac{1}{1369}}

We'll assume that there is an equal probability of any position on the wheel, so a \frac{1}{37} chance for any given number.

We must take the probability of getting a 27, then the probability of getting a 15, and multiply them together to find the chances that they both happen in a row.

\frac{1}{37}\cdot\frac{1}{37}=\boxed{\frac{1}{1369}}

5 0
2 years ago
A recent study estimated that 68% of US adults enjoy reading a book while relaxing. How many adults are required
Leno4ka [110]

Answer:

Step-by-step explanation:

236, did on edge

4 0
3 years ago
Find the equation of the line that passes through (0, -3) and is parallel to
Tresset [83]

Hey there!

\\

  • Answer:

\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

  • Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be \: \sf{d_1} \: and the line that is parallel to \: \sf{d_1} \: be \: \sf{d_2} \: .

\sf{d_2} \: passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}

\\

⇒Subtitute the values :

\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}

\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}

\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}.

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \:  the \: line \: and \: b \: is \: the \: y-intercept.}

\implies \sf{y = \bold{\dfrac{7}{6}}x + b} \\

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line \: \sf{d_1} \:. Now, replace y with -3 and x with 0:

\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:

Therefore, the equation of the line \: \bold{d_1} \: is \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0
1 year ago
Read 2 more answers
How to write a real world problem involving the subtraction of two mixed numbers whose difference is less than 2 1/2
madreJ [45]
You can do 2 1/2 minus 1 1/8 to get 1 3/8. Your welcome and I hope you get a good grade
7 0
3 years ago
The angles of elevation to an airplane from two points A and B on level ground are 58° and 76°, respectively. The points A and B
statuscvo [17]

Answer:

90

Step-by-step explanation:

45x2=90

6 0
2 years ago
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