Answer:
1,225 miles = 77616000 inches
Step-by-step explanation:
It is asked to find the number of inches in 1,225 miles
Given
1 inch ≈ 1.578 × 10^-5 miles
Therefore, 1 mile = 63360 inches
Therefore, 1,225 miles = 1225 x 63360 inches
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x 
inches
Therefore the final answer is
1,225 miles = 77616000 inches
or 1,225 miles = 7.7 x inches
Okay
(Thanks for the points)
<span>The reciprocal of a fraction is simply the reverse
position of the original fraction, its numerator and denominator. It is
represented by the formula of 1/number (fraction). To get the reciprocal of the
number, divide one by the fractional number. You are given the number 6/5. So you
have a numerator of 6 and a denominator of five. Simply swap them and you get
the new numerator as 5 and the new denominator as 6. Or you can just divide
1/(6/5) then you will get 5/6. The answer is letter D.</span>
An interesting question! Let's take a look at the rectangular prism first.
[Rectangular Prism]
We know that the formula for the volume of a rectangular prism is:
volume = length * width * height
or more simply
V = L*W*H
All we know is that the volume is 210 cubic meters. We can choose whatever we want for the dimensions to force it to work! We're free to do what we want!
210 = L*W*H
I like 10, that's a nice number. Let's make L = 10.
210 = 10*W*H
Hmm... but now I need W*H to be 21 (think about it, make sure you get why I say that). Well, how about W = 7 and H = 3? That should work.
210 = 10*7*3
It checks! Possible dimensions for the rectangular prism are L = 10 meters, W = 7 meters, and H = 3 meters. There are many other choices of course, but this is a possible choice.
[Triangular Prism]
Same idea, different formula. For a triangular prism, the volume is
V = 1/2 * L*W*H
But the volume is still 210 cubic meters, so we just have
210 = 1/2 * L*W*H
So, one of our dimensions is going to be cut in half. Why don't we just double L to make up for it?
210 = 1/2*(20)*W*H
And we can leave W and H the same
210 = 1/2*20*7*3
Check that it works! A possible choice is L = 20 meters, W = 7 meters and H = 3 meters.
We're done!
