A 12 feet ramp is used to load stuff into the truck which is at a height of 3.5 feet from ground.
The ramp forms a Right triangle with ground and height of truck.
In the Right triangle, hypotenuse is 12 feet and height is 3.5 feet. We need to find horizontal base of right triangle.
We can use Pythagorean theorem that is given by :-
(Hypotenuse)² = (Base)² + (Height)²
(12)² = (Base)² + (3.5)²
144 = (Base)² + 12.25
(Base)² = 144 - 12.25
(Base)² = 131.75
(Base) = √131.75
So, horizontal distance is 11.48 feet.
Answer:
-2
Step-by-step explanation:
The slope of a line tells us how y responds to a change in x. If the slope is 2, it means that for every time x increases by 1, will will go up by 2.
We can calculate slope from a line, or with two given points. I used points (0,4) and (3,-2). Slope is the "Rise/Run."
The Rise: (-2 - 4) = -6
The Run: (3 - 0) = 3
Slope = Rise/Run = (-6/3) = -2
1)
= 24z^7
answer
A. 24z^7
2)
= 24 x^2y^9
answer
D. 24 x^2y^9
3)
=w^12z^18
answer
C. w^12z^18
4)
= 4x^6
answer
B. 4x^6
Answer:
If she bought 2lbs of almonds, she bought 0.4lbs of raisins. If she bought 1lb of almonds, she can buy up to 2.36lbs of raisins. If she bought 0.64lbs of almonds, she can buy up to 1.9lbs of almonds.
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have been given the following expression;
-13/√x
In order to rationalize the denominator, we multiply the numerator and the denominator by √x;
