You have a right triangle situation here, and what you are looking for is the length of the hypotenuse. The leg perpendicular to the ground is 100, and the base angle that is NOT the right angle, is 65. So your equation is set up like this: sin 65 = 100/x. Rearrange that a bit to get x alone: x = 100/ sin 65. Make sure your calculator is in degree mode and solve for x. x = 110.34 feet of string.
If you want to multiply 2 binomials, take each term in the first set of parentheses and multiply it to every term in the second set of parentheses:
3h*(2h+m) = 3h^2+3hm
-2m*(2h+m) = -4hm-2m^2
Combine like terms: (3hm-4hm)
3h^2-hm-2m^2
9 131/250 is 9.524 as a mixed number
The short answer: yes.
Explanation: every rational number can be expressed as, well, a ratio. For instance, 5 can be expressed as 5/1 and 1.75 can be expressed as 7/4. Irrational numbers are not rational. For instance, pi... there is no ration for pi.
Each side of a square is the same, so the area of a square is one side times another of the same length. In other words it's side x side or side2
This is where we get the term "square root".
s2 = 49
take the square root of each side
s = 7