Answer:
yes they both equal 2 1/2
Answer:
Step-by-step explanation:
- V(x) = x³ - 8x² + 19x - 12
<u>The two of the dimensions given</u>
<u>and the third one is</u>
<u>Multiply the three dimensions to get the volume:</u>
- (x - 1)(x - 3)(x + a) =
- (x² - 4x + 3)(x + a) =
- x³ - 4x² + 3x + ax² - 4ax + 3a =
- x³ - (4 - a)x² + (3 - 4a)x + 3a
Comparing with the given function, we get a = - 4
<u>So the missing dimension is:</u>
Answer: 22
explanation: the easiest way is to separate one of the diagonals into a triangle and use the pythagorean theorem.
a^2 + b^2 = c^2
4^2 + 3^3 = c^2
16 + 9 = c^2
25 = c^2
5 = c
you now know that both of the diagonals have a length of 5.
by counting the units on the two straight, you know that their length is 6.
6 + 6 + 5 + 5 = 22
She would have to rent 2 movies.
1.25 x 2 = 2.50
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)
