Answer: The scale factor is 4
Step-by-step explanation:
We know that the pyramids are similar. The volume of one of these pyramids is 13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:
By Similar solids theorem, if two similar solids have a scale factor of 
, then corresponding volumes have a ratio of 
Then:
Knowing this, we can find the scale factor. This is:
![\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4](https://tex.z-dn.net/?f=%5Cfrac%7B13%2C824%7D%7B216%7D%3D%5Cfrac%7Ba%5E3%7D%7Bb%5E3%7D%5C%5C%5C%5C%5Cfrac%7B13%2C824%7D%7B216%7D%3D%28%5Cfrac%7Ba%7D%7Bb%7D%29%5E3%5C%5C%5C%5C%5Cfrac%7Ba%7D%7Bb%7D%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B13%2C824%7D%7B216%7D%7D%5C%5C%5C%5Cscale%5C%20factor%3D%5Cfrac%7Ba%7D%7Bb%7D%3D4)
Answer:
2.75
Step-by-step explanation:
(y-5)6+15–5y=5
(y-5+5)6-6+15-15–5y=5-6-15+5
y-5y=-11
-4y/-4=-11/-4
y=2.75
-8 -8 = -16
You add -8 to -8
Answer: b=101 c=79 d=101
Step-by-step explanation:
since it is a parallelogram opposite angels are congruent a = c ad b=d
because we know a=79 c must equal 79
and because all the angles must add up to 360 add 79+79 = 158
then subtract from 360- 158= 202 then divide by 2 and this will give us the value for b and d b,d=101
Answer:
$320
Step-by-step explanation:
she needs to take 320 dollars with her for the trip because she needs about 290 dollars for her expenses then she wants 30 dollars left over so she needs to take about 3320 dollars and none of that includes any tax.
hope this helps :)
