A typical windmill has three blades. We can envision these blades in a circle, which a circle = 360 degrees. We want to divide up the angles of the blades so they are even or makes up 360 degrees. We have three blades so we have 3 angles to divide by 360 degrees. So, 360 / 3 = 120 degrees. Now that we know the angle of the blades, we can use the Law of Cos to solve the distance between the blade tip.
Law of Cos
We know
a = 20
b = 20
A = Angle = 120
We need to solve for c
Take the square root of each side of the =
Input the values we know into the formula and solve for c:
We now have our answer, which is 34.64 and that is C.
No proportion here. Repost your question.
Answer:
x=2+√14
Step-by-step explanation:
log(x)+log(x−4)=1
log(x to the second power−4x)=1
Step 1: Solve Logarithm.
log(x2−4x)=1
10log(x2−4x)=101(Take exponent of both sides)
x2−4x=101
x2−4x=10
x2−4x−10=10−10(Subtract 10 from both sides)
x2−4x−10=0
For this equation: a=1, b=-4, c=-10
1x2+−4x+−10=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=1, b=-4, c=-10)
x=
−(−4)±√(−4)2−4(1)(−10)
2(1)
x=
4±√56
2
x=2+√14 or x=2−√14
Check answers. (Plug them in to make sure they work.)
x=2+√14(Works in original equation)
x=2−√14(Doesn't work in original equation)
Answer:
x=2+√14
Answer:
A.
Step-by-step explanation:
Take a look at what happens when squaring either of these...
Notice a couple of patterns.
1. The last term has a positive coefficient. That rules out answer choices C and D.
2. The coefficient of the middle term is either 
. So what are <em>a</em> and <em>b</em>? <em>a</em> is the square root of the x^2 term and <em>b</em> is the square root of the y^2 term.
The middle coefficient needs to be either +30 or -30. The answer is choice A.
5x+17=4(3x+1)
First, distribute the 4.
5x+17=12x+4
Now, solve.
5x+17-4=12x+4-4
5x+13=12x
5x+13-5x=12x-5x
13=7x
13÷7=7x÷7
1.86=x
x=1.86
