50 ft because you times 20 by 40 then you divide by 100 because that is the total percent
Answer:
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Step-by-step explanation:
Area of a triangle:
The area of a triangle of base b and height h is given by:
In this question:
We have to derivate the equation of the area implicitly in function of time. So
The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.
This means that:
At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?
This is when
Area is 24, so the base is:
Then
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Answer:
2 1/16
Step-by-step explanation:
(1/4)^2 + 2 = 1/16 + 2 = 33/16 = 2 1/16
See attached diagram.
A right triangle is formed with the 350m adjacent to the 22° angle.
We want to find the height of the triangle, the side opposite.
We can use the tangent ratio (opposite/adjacent) to find this height.
tan(22°) = x/350
Multiply each side by 350
350tan(22°) = x ≈
141.4 m