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3 years ago

What fraction is equal to 30/45

Mathematics

1 answer:

Llana [10]3 years ago

8 0

2/3 is equal to 30/45. You can find that out by simplifying.

30/45 simplified by 5s is 6/9, then you can simplify that by 3s, to get 2/3 :)

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What is the height of the cylinder in the diagram? Round your answer to the nearest whole number.

ryzh [129]

Answer:

$\mathrm{78.96 \: cm}$

Step-by-step explanation:

Cylinder volume formula is $\pi r^2h$

$\pi \times 6^2 \times h=904.78$

$36\pi \times h=904.78$

$h=904.78 \div 36\pi$

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3 years ago

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Write the equation of a line perpendicular to y=-12x+2 going through (0,-1)

DanielleElmas [232]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Write the equation of a line perpendicular to y=-12x+2 going </em>

<em> through (0, -1)</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

First, let's take a look at our provided information:-

A line $\text{y=-12x+2}$
A point (0, -1)
The line $\text{y=-12x+2}$ is perpendicular to the line that goes through (0, -1)

If two lines are perpendicular to each other, their slopes are opposite reciprocals of each other.

So we take the slope of the given line, which is -12, change its sign from minus to plus:-

$\Large\textit{12}$

And now, We flip the number over:-

$\Large\text{$\displaystyle\frac{1}{12}$}$

Now that we've found the slope of the line, let's find its equation.

The first step is to write it in point-slope form as follows:-

$\longmapsto\sf{y-y_1=m(x-x_1)}$

Replace letters with numbers,

$\longmapsto\sf{y-(-1)=\displaystyle\frac{1}{12}(x-0)}$

On simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} (x-0)}$

On further simplification,

$\longmapsto\sf{y+1=\displaystyle\frac{1}{12} x}$

Subtracting 1 on both sides,

$\longmapsto\sf{y=\displaystyle\frac{1}{12} x-1}$

$\Uparrow\texttt{Our equation in slope-intercept form}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

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2 years ago

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dimaraw [331]

He is growing potatoes, probably to sell them

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3 years ago

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Edward is playing a game where he draws cards with integers on them from a deck of cards. If the integer is positive he moves fo

Murljashka [212]

B) 4 steps in front of where he started.

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3 years ago

Click on the solution set below until the correct one is displayed.

Snowcat [4.5K]

Answer: Second Option

(Point in Quadrant I)

Step-by-step explanation:

The solution to a system of linear equations is the point where the two lines intersect.

Note that in this case we have two lines with different slope . By definition, if two lines have different slopes and are contained in the same plane, then there will always be an intersection between them at some point in the plane.

Looking at the image, you can see that the lines get closer as x and y increase. Then they will intercept in the first quadrant.

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