A triangle has a height that is increasing at a rate of 2 cm/sec and its area is increasing at a rate of 4 cm2/sec. Find the rate at which the base of the triangle is changing when the height of the triangle is 4 cm and the area is 20 cm2 .

The value of rate of which the base is changing = - 3

Step-by-step explanation:

Area = 20

height = 4 cm

we know that area of the triangle is given by

B = 10 cm

Rate of change of area is given by

4 =  0.5 [10 × 2 + 4 ]

= - 3

This is the value of rate of which the base is changing.

1. 34

2. 268

3. x=14.4

step-by-step explanation:

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !