Answer:
d = 6sqrt(2) or 8.4853
Step-by-step explanation:
<u><em>Formula</em></u>
P = 4*s
s^2 + s^2 = d^2 where d is the diagonal and s is the side.
<u><em>Givens</em></u>
P = 24
<u><em>Solution</em></u>
P = 4s Substitute for s
24 = 4*s Divide by 4
24/4 = s
s = 6
================
d^2 = s^2 + s^2
d^2 = 6^2 + 6^2
d^2 = 36 + 26
d^2 = 72
d = sqrt(72)
Factors of 72
72: 6 * 6 * 2
<em><u>Rule</u></em>: Every pair of = factors allows you to take one of them outside the sqrt sign and throw the other a way. If there are no pairs, whatever you started with stays under the root sign.
sqrt(6*6*2) = 6sqrt(2)
- The diagonal length is either
- d = 6*sqrt(2) or
- d = 8.4853
Seventh graders backpacks weigh less than Eleventh graders back packs
We cannot see the options for the answer (the cylinders aren't shown)
2,3,4
1st way: 6*2oz=12oz
2nd way: 3*2oz+2*3oz=12oz
3rd way: 4*2oz+4oz=12oz
4th way: 2*2oz+2*4oz=12oz
5th way: 4*3oz=12oz
6th way: 2*3oz+2oz+4oz=12oz
7th way: 3*4oz=12oz
Stuart can combine 2oz, 3oz and 4oz weigths 7 different ways to get 12oz.