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

$c^2 = a^2 + b^2 - 2(a)(b)(\cos A)$

We know

a = 20

b = 20

A = Angle = 120

We need to solve for c

$c^2 = a^2 + b^2 - 2(a)(b)(\cos A)$

Take the square root of each side of the =

$\sqrt{c^2} = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

$c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

Input the values we know into the formula and solve for c:

$c = \sqrt{a^2 + b^2 - 2(a)(b)(\cos A)}$

$c = \sqrt{20^2 + 20^2 - 2(20)(20)(\cos 120)}$

$c = \sqrt{400 + 400 - 2(20)(20)(\cos 120)}$

$c = \sqrt{800 - 2(20)(20)(\cos 120)}$

$c = \sqrt{800 - 2(400)(\cos 120)}$

$c = \sqrt{800 - 800(\cos 120)}$

$c = \sqrt{800 - (-400)}$

$c = \sqrt{1200}$

$c = 20\sqrt{3}$

$c = 34.641016$

$c = 34.64$

We now have our answer, which is 34.64 and that is C.

3 0

4 years ago

Simplify x^2+2x+1 divided by x+1

baherus [9]

The quotient is x+1.

<h3>What Long division method?</h3>

Long division is a method for dividing one large multi digit number into another large multi digit number.

Given:

f(x)= x²+2x+1

g(x)= x+1

The steps to divide the polynomial is :

Divide the leading term of the dividend by the leading term of the divisor: x²/x=x.
Multiply it by the divisor: x(x+1)=x²+x.
Subtract the dividend from the obtained result: (x²+2x+1)−(x²+x)=x+1.
Divide the leading term of the obtained remainder by the leading term of the divisor: x/x=1.
Multiply it by the divisor: 1(x+1)=x+1.
Subtract the remainder from the obtained result: (x+1)−(x+1)

Learn more about long division method here:

brainly.com/question/10532559

#SPJ1

3 0

2 years ago