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Nastasia [14]
3 years ago
15

How do you solve for a missing component x ? 180:x::12:24

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0
So, what it is saying in words is 180 is to x as 12 is to 24. So, determine what relates the second half of the problem, which would be 12 is half of 24. Therefore, 12 times 2 is 24. So, x is 360 because 180 times two is 360.
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Find the slope of the line going through the points (-4, 3) and (-1,-6)
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Answer:

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Step-by-step explanation:

m=y2-y1/x2-x1

m=-6-3/-1-(-4)

m=-9/3

m=-3

8 0
2 years ago
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3. Write the equation of a line that passes through the point (24, 25) and is
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Answer:

y=-1/3x + 33

Step-by-step explanation:

You can start by writing this in point slope form and converting to slope intercept later. Since the slope of the perpendicular line is y=3x-30, this line must have a slope of -1/3. It's point slope form is therefore:

y-25=-1/3(x-24)

Now, you can convert to slope intercept by isolating y:

y=-1/3(x-24)+25

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Hope this helps!

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3 years ago
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5 0
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What is the solution of the system?
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3 years ago
A rectangular tank has length 4m, width 12m and height 3.5..i. If the tank is filled with water 2/3 of its capacity ,calculate t
ipn [44]

Answer:

The volume of the water in the tank is 112 m³

Step-by-step explanation:

The volume of the rectangular prism V = L × W × H, where

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  • H is its height

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∴ L = 4 m

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∴ H = 3.5 m

∵ V = L × W × H

∴ The volume of the tank = 4 × 12 × 3.5

∴ The volume of the tank = 168 m³

∵ The tank is filled with water  \frac{2}{3} of its capacity

→ That means the volume of the water is  \frac{2}{3}  the volume of the tank

∵ The volume of the water = \frac{2}{3} the volume of the tank

∴ The volume of the water =  \frac{2}{3} × 168

∴ The volume of the water = 112 m³

∴ The volume of the water in the tank is 112 m³

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3 years ago
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