Y=-3+3 answer do I need to explain?
The GCF of 24, 32, and 80 must be 8, since it is the largest number common to both lists. Example 1 Find the greatest common factor of each set of numbers by listing factors.
18,000.00.This is the answer
Answer:
C: ![y = 6 \sin (8(x-\frac{\pi}{2} ))](https://tex.z-dn.net/?f=y%20%3D%206%20%5Csin%20%288%28x-%5Cfrac%7B%5Cpi%7D%7B2%7D%20%29%29)
Step-by-step explanation:
Amplitude is changed by multiplying the entire trig function by a number, by default the amplitude is 1, so multiplying by 6 is necessary; eliminate A and B
Horizontal shift is going through the x axis, so it must be subtracted from the x value. This is only seen in choice C of the remaining answers.
Calculating the period isn't necessary because we already found the right answer but in case you need it in the future; the period is by default 2pi, to get to pi/4, it had to be 8 times smaller, so multiplying x and translations on x by 8 will get you the correct period.
Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by
![Area= \frac{5}{2} x\times2.8=7x](https://tex.z-dn.net/?f=Area%3D%20%5Cfrac%7B5%7D%7B2%7D%20x%5Ctimes2.8%3D7x)
Therefore, the volume of the prism is given by