Answer:
B) Their y-coordinates are the same.
Step-by-step explanation:
P is at (-6,4)
Q is at (1,4)
Their y-coordinates are the same.
Answer:
x=30
Step-by-step explanation:
The two angles are supplementary. They add to 180
4x+20 + 40 =180
Combine like terms
4x+60 =180
Subtract 60 from each side
4x+60-60 = 180-60
4x = 120
Divide each side by 4
4x/4 = 120/4
x = 30
The components operate independently, so the probability of "total" system failure is the same as the product of each probability of component failure. That is, if
![A_i](https://tex.z-dn.net/?f=A_i)
denotes the event that component
![i](https://tex.z-dn.net/?f=i)
fails, then
![\mathbb P(A)=\mathbb P(A_1\cup\cdots\cup A_6)=\mathbb P(A_1)\times\cdots\times\mathbb P(A_6)](https://tex.z-dn.net/?f=%5Cmathbb%20P%28A%29%3D%5Cmathbb%20P%28A_1%5Ccup%5Ccdots%5Ccup%20A_6%29%3D%5Cmathbb%20P%28A_1%29%5Ctimes%5Ccdots%5Ctimes%5Cmathbb%20P%28A_6%29)
The
![A_i](https://tex.z-dn.net/?f=A_i)
are independent and identically distributed, so
![\mathbb P(A_i)=\mathbb P(A_j)](https://tex.z-dn.net/?f=%5Cmathbb%20P%28A_i%29%3D%5Cmathbb%20P%28A_j%29)
for all
![i,j](https://tex.z-dn.net/?f=i%2Cj)
. So
The question ask to determine and calculate the angle between 0 and 2 pi that is coterminal with the given angle, and the angle would be 10 radians and base on my calculation and further research about the said question, I would say that the angle is 2pi -10 radian. I hope this would help
Answer:
C: 31 m/s
Step-by-step explanation:
It falls from a dam.
Thus;
Initial velocity; u = 0 m/s
Height; h = 49 m
Acceleration due to gravity is 9.8 m/s²
To solve for the final velocity this, we will use Newton's third equation of motion;
v² = u² + 2gh
v² = 0² + 2(9.8 × 49)
v = √960.5
v ≈ 31 m/s