
Length of missing leg = 12 km
Using Pythagoras theorem
a² = 15² - 9²
a = √ 225 - 49
a = √144
a = 12 km
HOPE IT HELPS..
The area of a rectangle is it's length times it's height. We are given polynomials for these values, so we can multiply them using the FOIL method to find the area.
FOIL stands for Firsts, Outers, Inners, Lasts. This means we multiply the first term of each polynomial together, the outer terms together, the inner terms together, and the last terms together.
(2x+5)(x-2)
The first terms are 2x and x, the outer terms are 2x and -2, the inner terms are 5 and x, and the last terms are 5 and -2:
2x^2 - 4x +5x - 10
Combine like terms:
2x^2 + x - 10
The third option is the correct answer.
I feel like it's everything except for choices b and c. I hope this helps, but I would read them again.
I believe the answer is C
Area of the triangle = (1/2)*base*height
For right triangle base and height can be legs.
We have one leg = 5 ft. (Lets think it is a base.)
We need to find the other leg.
We are going to use Pythagorean theorem.
5² + b²=13²
b²=144
b=12 (It is going to be our height.)
Area of the triangle = (1/2)*5*12= 30 ft²
Area of the triangle = 30 ft²