Answer:
The answer is A, B, and D
Step-by-step explanation:
This is really easy, all you have to do is to choose the answers that are less than 1.
Why? because anything less than 1 multiplied by a number gives you a smaller number.
Since C and E are bigger than 1 then they will give you a bigger number than 2/3.
But A, B, and D are less than 1.
So, the answer is A, B, and D
They won all together by 31 points and lost all together by 13 so 31-13=18
Answer:
8x+6y=48
x+y=7
multiply bottom equation by 6:
8x+6y=48
6x+6y=42
subtract equations:
2x=6
divide 6 by 2:
x=3
therefore:
y=4
The ratio for this problem is 1:5.
If you are drawing 14 pentagons, you would do 14 x 5.
14 (pentagons) x 5 (line segments) = 70 line segments in total.
The answer is C) 70
Answer:
s = 6 m
Step-by-step explanation:
The value of the velocity v is given as:
m/s
To find s, we have to integrate and apply the initial values of s = o when t = 0:
![\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3](https://tex.z-dn.net/?f=%5Cfrac%7Bds%7D%7Bdt%7D%20%3D%206%20sin%282t%29%5C%5C%5C%5C%5Cint%5Climits%5Es_0%20%7Bds%7D%20%3D%20%5Cint%5Climits%5Et_0%20%7B6sin%282t%29%7D%20%5C%2C%20dt%5C%5C%5C%5Cs%7C%5Es_o%20%3D%20-3cos%282t%29%7C%5Et_o%5C%5C%5C%5Cs%20-%200%20%3D%20-3cos%282t%29%20-%28-3cos%280%29%29%5C%5C%5C%5Cs%20%3D%20-3cos%282t%29%20%2B%203%281%29%5C%5C%5C%5Cs%20%3D%20-3cos%282t%29%20%2B%203)
When t = π/2, s will be:
s = -3cos(2 * π/2) + 3
s = -3cos(π) + 3
s = -3(-1) + 3
s = 3 + 3
s = 6 m