44= 2w + 2(w+2) = 2w +2w +4 = 4w +4
44=4w+4; 40=4w; w= 10
width: 10
length: 10+2 = 12
10x12
A prism with a volume of 270 m³ is dilated by a factor of 3. What is the volume of the dilated prism? Enter your answer in the box.
If we dilate each dimension by 3, then the volume of the figure will be dilated by
.
=3*3*3 =27
So, the volume of the dilated prism is
*volume of original prism
Volume of dilated prism=27*270
Volume of dilated prism=7290
You can fill 8 full bags and 2/5 of a bag
![\bf \textit{Cofunction Identities} \\\\ sin\left(90^o-\theta\right)=cos(\theta) \qquad cos\left(90^o-\theta\right)=sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(157)\implies cos(90^o+67^o)\implies cos[90^o-(-67^o)] \\\\\\ sin(-67^o)\implies -sin(67^o)](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7BCofunction%20Identities%7D%20%5C%5C%5C%5C%20sin%5Cleft%2890%5Eo-%5Ctheta%5Cright%29%3Dcos%28%5Ctheta%29%20%5Cqquad%20cos%5Cleft%2890%5Eo-%5Ctheta%5Cright%29%3Dsin%28%5Ctheta%29%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20cos%28157%29%5Cimplies%20cos%2890%5Eo%2B67%5Eo%29%5Cimplies%20cos%5B90%5Eo-%28-67%5Eo%29%5D%20%5C%5C%5C%5C%5C%5C%20sin%28-67%5Eo%29%5Cimplies%20-sin%2867%5Eo%29)
you can check the example in the picture below, why the cosine of the complementary angle is equals to the sine of its sibling.