The length of the room is two times it's breadth and 5 times it's height. if the volume of the room is 100 m³, what is the cost
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The slope-intercept equation is y=mx+b.
The slope formula is
Our three points are (5,5), (-5,-7) and (0,-1)
Using our slope formula our slope becomes
Then, if we use one of our points (pick whichever you want, although (0,1) is the easiest) to solve the equation. So, . When we solve for x and y, we get -1=0+b, or b=-1.
When we plug that back into the equation, we get.
Answer:
a=7.2*1.5=10.8 cm
b=6.3/1.5=4.2 cm
Step-by-step explanation:
<u>Proportional Geometric Shapes </u>
A) We are given two similar shapes of a logo. They are to be proportional. We only need to find the proportion ratio of two of them to find the rest of the lengths.
The upper sides have 7.5 cm and 5 cm respectively. This gives us the ratio
Which means all the measures of the smaller logo are 1.5 smaller than those of the larger. This means
b=6.3/1.5=4.2 cm
a=7.2*1.5=10.8 cm
B) To paint the logos, we need to cover its surface, so the ratio of the surface is 1.5*1.5=2.25
This means the cost to paint the larger logo is