Answer:
![d =\sqrt{61](https://tex.z-dn.net/?f=d%20%3D%5Csqrt%7B61)
Step-by-step explanation:
Given
![(x_1,y_1) = (1,-3)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%281%2C-3%29)
![(x_2,y_2) = (-4,3)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%28-4%2C3%29)
Required: The distance.
This is calculated as
![d =\sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2](https://tex.z-dn.net/?f=d%20%3D%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2)
So:
![d =\sqrt{(1 - -4)^2 + (-3 - 3)^2](https://tex.z-dn.net/?f=d%20%3D%5Csqrt%7B%281%20-%20-4%29%5E2%20%2B%20%28-3%20-%203%29%5E2)
![d =\sqrt{61](https://tex.z-dn.net/?f=d%20%3D%5Csqrt%7B61)
Answer: its 34.5
Step-by-step explanation:
Answer: 1/8
Step-by-step explanation:
1) A B C D E F G H -> The probability of spinning a vowel is 2/8.
2) 1 2 3 4 5 6 -> The probability of rolling an even number on a standard dice is 3/6.
3. To find the probability of spinning a vowel and rolling an even number on a standard dice, we just have to multiply both of the probabilities:
2/8 * 3/6 = 6/48.
4. Simplify 6/48 and you get -> 1/8.
HOPE THIS HELPED YOU!
Answer:
150.83 (cm²).
Step-by-step explanation:
1) the area of the bottom and top is: A₁=π*r²*2=2*3.1415*4≈25.13 (cm²);
2) the length of the circle in the bottom/top side is: l=2*π*r=2*3.1415*8≈12.57 (cm);
3) the area of the side surface of the cylinder is: A₂=l*h=12.57*10=125.7 (cm²);
4) the required area of the cylinder is:
A=A₁+A₂=25.13+125.7=150.83 (cm²).
Answer:
r = .6
Step-by-step explanation:
2.2r +0.47 = 1.79
Subtract .47 from both sides
2.2r +0.47- .47 = 1.79 - .47
2.2r = 1.32
Divide by 2.2 on each side
2.2r/2.2 = 1.32/2.2
r =.6