Answer:
A solid with surface area 216 square meters and volume 324 cubic meters is dilated by a scale factor of k to obtain a solid with surface area 24 square meters. Find the value of k which leads to an image with the given surface area. Find the volume of the dilated solid.
Answer:
Step-by-step explanation:
As 2 and 7 are the only prime divisors of both and we know that both can be written as:
Where is the set of all natural numbers adding the zero (careful because this part is important as I'll explain next).
We also know that 14 divides both numbers and that is actually the greatest common divisor between them. So we can rewrite a and b as follows:
Why do I write them like this? Because this way is easier to observe that if and were both greater than zero, then 28 would divide both hence 14 wouldn't be their g.c.d.. Likewise, if and were both greater than zero, then 98 would divide both and once again, 14 wouldn't be their g.c.d.
So either of them has to be equal to zero. And then we have that
All we have left to do is find the possible values for and so that and that only happens if and
The result of <span>0.0047*63.4 = </span>0.29798
<h2>They mark-up the price by <u>$13.20</u></h2><h3>The new price is $79.20 (If you need that information)</h3><h3><u /></h3><h3>66 x 0.20 = 13.20</h3><h3>The new price:</h3><h3>13.20 + 66 = 79.20</h3><h3 /><h3><em>Please let me know if I am wrong.</em></h3>