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PtichkaEL [24]
3 years ago
15

Using Similar Triangles On a coordinate plane, a line goes through (0, 3) and (x, y). A triangle has a rise of 2 and run of 3. A

larger triangle has a rise of 5 and run of 7. Use similar triangles to determine the equation of the line with a slope of 2/3 that passes through the point (0, 3). What is the ratio of the rise to the run in the smaller triangle in the diagram? What is the ratio of the rise to the run in the larger triangle in the diagram? What is the equation of the line in slope-intercept form?

Mathematics
2 answers:
Dafna1 [17]3 years ago
7 0

Answer:

2/3

(y-3)/x

y=(2/3)x+3

Step-by-step explanation:

im smart

Nonamiya [84]3 years ago
5 0

Answer:

1. 2/3

2. (y-3)/x

3. y=(2/3)x+3

Step-by-step explanation:

I just did this assignment, and these are the correct answers!

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A=\cfrac{\theta \pi r^2}{360}\quad 
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\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\

\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
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r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.
6 0
3 years ago
How many 1/8-inch pieces of ribbon can be cut from a piece of ribbon that is 3/4 inch long? It can't be a fraction, sadly :')
SIZIF [17.4K]

Answer:

6 pieces.

Step-by-step explanation:

3/4 divided by 1/8

= 3/4 / 1/8        

Invert the 1/8 and multiply:

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Answer:

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Step-by-step explanation:

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The following table shows the number of snow days each school district in Mill County had last winter.
shtirl [24]

Answer:

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Step-by-step explanation:

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3 years ago
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