The equation for the line is y= x+5. The slope is 1
<h3>
Answer: 10</h3>
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Explanation:
The two smaller triangles are proportional, which lets us set up this equation
5/n = n/15
Cross multiplying leads to
5*15 = n*n
n^2 = 75
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Apply the pythagorean theorem on the smaller triangle on top, or on the right.
a^2+b^2 = c^2
5^2+n^2 = m^2
25+75 = m^2
100 = m^2
m^2 = 100
m = sqrt(100)
m = 10
Answer:
3603 boxes.
Step-by-step explanation:
Rectangular Prism is actually a cuboid.
Volume of cuboid = length * width * height.
It is given that length = 16.5 m, width = 18.2 m, and height = 12 m. Therefore:
Volume = 16.5 * 18.2 * 12 = 3603.6 cubic meters.
Volume is actually the capacity of the shape. If the box has the volume of 1 cubic meters, then the number of boxes that can fit in the rectangular prism will be:
Number of boxes to be fit = Volume of Large container/Volume of Small Container.
Number of boxes = 3603.6/1 = 3603 boxes.
Therefore, 3603 boxes will fit the rectangular prism and 0.6 cubic meters will be the spare space!!!
Answer:
y=2x
Step-by-step explanation:
We need to first find the slope. Lets get two points and apply the slope formula.
(1,2) and (2,4)
Rise: 2
Run: 4
Slope: 2
Then, lets use the standard way of showing a linear equation.
y=mx+b
y=2x+0
Scale factor is 2
30/15 = 2
20/10 = 2
