Answer:
y = 40
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
y+10 + 2y +50 = 180
3y+60 = 180
Subtract 60 from each side
3y+60-60 = 180-60
3y = 120
Divide each side by 3
3y/3 = 120/3
y = 40
You can find the x intercept by setting y to 0 and factor the equation.
0=2x^3+3x-2
0=(2x-1)(x+2)
We can make this equation =0 if x is -2 and 1/2.
So the x intercepts are (-2,0) and (0.5,0)
Answer:
It is B.
Step-by-step explanation:
I am 99% sure im correct. dont get mad at me if im not
Answer:
960 units
Step-by-step explanation:
(8x12x20)divided by 2
Answer: 27 times bigger.
Step-by-step explanation:
You need to use the following formula to find the volume of a Square pyramid:
![V=\frac{1}{3}s^2h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7Ds%5E2h)
Where "s" is the edge of a side of the square base and "h" is the height of the pyramid.
Knowing that:
![s_A=12\ in\\\\h_A=8\ in\\\\\\s_B=36\ in\\\\h_B=24\ in](https://tex.z-dn.net/?f=s_A%3D12%5C%20in%5C%5C%5C%5Ch_A%3D8%5C%20in%5C%5C%5C%5C%5C%5Cs_B%3D36%5C%20in%5C%5C%5C%5Ch_B%3D24%5C%20in)
You can find the volume of the Pyramid A and the volume of the Pyramid B:
![V_A=\frac{1}{3}(12\ in)^2(8\ in)\\\\V_A=384\ in^3\\\\\\V_B=\frac{1}{3}(36\ in)^2(24\ in)\\\\V_B=10,368\ in^3](https://tex.z-dn.net/?f=V_A%3D%5Cfrac%7B1%7D%7B3%7D%2812%5C%20in%29%5E2%288%5C%20in%29%5C%5C%5C%5CV_A%3D384%5C%20in%5E3%5C%5C%5C%5C%5C%5CV_B%3D%5Cfrac%7B1%7D%7B3%7D%2836%5C%20in%29%5E2%2824%5C%20in%29%5C%5C%5C%5CV_B%3D10%2C368%5C%20in%5E3)
Finally divide the volume of the Pyramid B and the volume of the Pyramid A, in order to find how many times bigger than the Pyramid A is the Pyramid B.
You get:
![\frac{10,368\ in^3}{384\ in^3}=27](https://tex.z-dn.net/?f=%5Cfrac%7B10%2C368%5C%20in%5E3%7D%7B384%5C%20in%5E3%7D%3D27)