Answer:
Step-by-step explanation:
The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when
![s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{\frac{5}{3}}in\\ \\ s\approx 1.19in](https://tex.z-dn.net/?f=s%5E3%3D%281%2F3%29%283%29%285%2F3%29%5C%5C%20%5C%5C%20s%5E3%3D5%2F3%5C%5C%20%5C%5C%20s%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B5%7D%7B3%7D%7Din%5C%5C%20%5C%5C%20s%5Capprox%201.19in)
For this case we have the following expression:
-2x ^ 2 (x + 5) + x (2x ^ 2-10x) + x
Rewriting we have:
-2x ^ 3 - 10x ^ 2 + 2x ^ 3 - 10x ^ 2 + x
Grouping terms with the same exponent:
x ^ 3 (-2 + 2) + x ^ 2 (-10 - 10) + x
-20x ^ 2 + x
Rewriting:
x (-20x + 1)
Answer:
The simple form of the expression is:
x (-20x + 1)
Answer:
if d=dogs and c=cats then c+20=d
Step-by-step explanation:
Answer:
4.5 + 4.5 + 7.5 + 3 + 9 + 4.5 = 33 is the perimeter of the first shape
The area is (4.5 x 7.5) + (3 x 9) = 60.75
(Cut the figure)
Perimeter of the Second Shape is:
22 + 22 + 10 + 10 = 64
Area is: 22 x 10 = 220
Area of a parallelogram is: L x W
Answer: BC=18
DG=6
Step-by-step explanation: well we have to use similarity. and that means setting up proportions so... 15/10 = BC/12 10BC=180, BC=18
9/18=DG/12 (we put 18 because it equals BC)
hope this helped!!