Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s
b) 527/24 Ft²/s
c) 2/25 rad/sec
Step-by-step explanation:
a) b=7 ; a^2+b^2 = 25^2
a^2+b^2 = 625
Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0

As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.
b) Area of the triangle = 1/2 * b*h
differentiate wrt to time leads to the following relation:

c) sin (Θ) = b/25
differentiate it again to give

Answer:
True.
Step-by-step explanation:
C(4, 3) means the number of combinations from 4 items taking 3 at a time. We are selecting 3 distinct items and it doesn't say anything about the order in which they are selected , so we use a combination formula not a permutation ( where order does matter).
C(4, 3) = 4! / 3! 1!
= 4*3*2*1 / 3*2*1*1
= 4.
There are 4 ways to select 3 items from 4.
Answer:
20
Step-by-step explanation:
because 35 divided by 7 is 5, so 4 cars must be 5 x 4 = 20
Dimensional analysis, is there a specific amount you would like to convert to