Sand to cement
7:3
210:x
ask yourself what number is needed to multiply by 7 to get 210 ( so you'd divide 210 by 7 which is 30). Multiply the other side by thirty as well to get the value of x
3*30 which is 90
Answer:
B. 180°
Step-by-step explanation:
Rotate AB 180 degrees in the clockwise direction.
Answer:
The roots (zeros) of the function are:
![x=5,\:x=-8](https://tex.z-dn.net/?f=x%3D5%2C%5C%3Ax%3D-8)
Step-by-step explanation:
Given the function
![f\left(x\right)=x^2+3x-40](https://tex.z-dn.net/?f=f%5Cleft%28x%5Cright%29%3Dx%5E2%2B3x-40)
substitute f(x) = 0 to determine the zeros of the function
![0=x^2+3x-40](https://tex.z-dn.net/?f=0%3Dx%5E2%2B3x-40)
First break the expression x² + 3x - 40 into groups
x² + 3x - 40 = (x² - 5x) + (8x - 40)
Factor out x from x² - 5x: x(x - 5)
Factor out 8 from 8x - 40: 8(x - 5)
Thus, the expression becomes
![0=x\left(x-5\right)+8\left(x-5\right)](https://tex.z-dn.net/?f=0%3Dx%5Cleft%28x-5%5Cright%29%2B8%5Cleft%28x-5%5Cright%29)
switch the sides
![x\left(x-5\right)+8\left(x-5\right)=0](https://tex.z-dn.net/?f=x%5Cleft%28x-5%5Cright%29%2B8%5Cleft%28x-5%5Cright%29%3D0)
Factor out common term x - 5
![(x - 5) (x + 8) = 0](https://tex.z-dn.net/?f=%28x%20-%205%29%20%28x%20%2B%208%29%20%3D%200)
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
![x-5=0\quad \mathrm{or}\quad \:x+8=0](https://tex.z-dn.net/?f=x-5%3D0%5Cquad%20%5Cmathrm%7Bor%7D%5Cquad%20%5C%3Ax%2B8%3D0)
Solve x - 5 = 0
x - 5 = 0
adding 5 to both sides
x - 5 + 5 = 0 + 5
x = 5
solve x + 8 = 0
x + 8 = 0
subtracting 8 from both sides
x + 8 - 8 = 0 - 8
x = -8
Therefore, the roots (zeros) of the function are:
![x=5,\:x=-8](https://tex.z-dn.net/?f=x%3D5%2C%5C%3Ax%3D-8)
Answer:
it depends
Step-by-step explanation:
<em>Shino's formula will work for any prism</em>.
Angelo's formula will work for any prism whose base area can be found by ...
B = (1/2)ew
<em>Angelo can use this formula for a triangular prism</em>.
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For a triangular prism, both may be correct.
For a prism of another shape, Shino is correct. (Angelo may also be correct, depending on the variable definitions.)