Answer:
v = 25.98
Step-by-step explanation:
You could do this a number of ways. Some are much longer than others. The shortest way is to use the tangent.
Formula
Tan(theta) = opposite / adjacent
Givens
Theta = 30o
Opposite = 15 km
Adjacent = x
Solution
tan(30) = 15 / v Multiply both sides by v
v*tan(30) = 15 Divide by tan(30)
v = 15/tan(30)
tan(30) = 0.5774
v = 15 / 0.5774
v = 25.98
Answer:
Step-by-step explanation:
There are several ways to solve this quartic equation. But since the coefficients, they repeat a=1,b=2,c=1,d=2, but e=0, and they are multiple of each other, then it is more convenient to work with factoring as the method of solving it.
As if it was a quadratic one.
![x^{4}-2x^{3}- x^{2} + 2x = 0\\x(x^{3}-2x^{2}-x+2)=0 \:Factoring \:out\\x[(x^{3}-2x^{2})+(-x+2)]=0 \:Grouping\\x[\mathbf{x^{2}}(x-2)+\mathbf{-1}(x+2)]=0 \:Rewriting\:the\:first\:factor\\x(x^{2}-1)(x-2)\:Expanding \:the \:first \:factor\\x(x-1)(x+1)(x-2)=0\\x=0,x=1,x=-1,x=2\\S=\left \{ 0,-1,1,2 \right \}](https://tex.z-dn.net/?f=x%5E%7B4%7D-2x%5E%7B3%7D-%20x%5E%7B2%7D%20%2B%202x%20%3D%200%5C%5Cx%28x%5E%7B3%7D-2x%5E%7B2%7D-x%2B2%29%3D0%20%5C%3AFactoring%20%5C%3Aout%5C%5Cx%5B%28x%5E%7B3%7D-2x%5E%7B2%7D%29%2B%28-x%2B2%29%5D%3D0%20%5C%3AGrouping%5C%5Cx%5B%5Cmathbf%7Bx%5E%7B2%7D%7D%28x-2%29%2B%5Cmathbf%7B-1%7D%28x%2B2%29%5D%3D0%20%5C%3ARewriting%5C%3Athe%5C%3Afirst%5C%3Afactor%5C%5Cx%28x%5E%7B2%7D-1%29%28x-2%29%5C%3AExpanding%20%5C%3Athe%20%5C%3Afirst%20%5C%3Afactor%5C%5Cx%28x-1%29%28x%2B1%29%28x-2%29%3D0%5C%5Cx%3D0%2Cx%3D1%2Cx%3D-1%2Cx%3D2%5C%5CS%3D%5Cleft%20%5C%7B%200%2C-1%2C1%2C2%20%5Cright%20%5C%7D)
Answer:
mean=12
Step-by-step explanation:
First, order the data like so.
5, 7, 12, 12, 16, 17, 17
Then add them all up.
It is a sum of 86.
Finally divide
86/7=12.2
Since 12.2 movies aren't possible, let's say the mean is 12
1) 8
2) 6(5x+2y) factor out greatest common factor
3) 10.8 just move over decimal two places to the left.
4) 30t=150? Then t=5kg Im not sure what the last one is asking, but I’m assuming it’s to solve for t.
