Answer:
= 
, so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.
Step-by-step explanation:
The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y,
, and 
gives = ,
You can get the different results for the same equation if one of the results is a variable. This is because, in this problem, x=12.
14 degrees. It equals half the intercepted arc.
(See attached graphic)
Answer:
For the answer to the question above, first you must find the area of the rectangle, which is 3 × 6 = 18 inches squared. Then, you find the area of the triangles. To find the area of the top triangle, you'd do base × height/2 (5 × 6)/2 = 15 inches squared. The triangle on the left would be (4 × 3)/2 which is 6 inches squared. After you've added up all of the values, you get (18 + 15 + 6) = 39 inches squared
Step-by-step explanation:
Answer:
1. $2906.25
2. $406.25
Step-by-step explanation:
2500+ (3.25% of 2500) (5)
2500+ (81.25) (5)
2500+ $406.25
=2906.25
3.25% of 2500
=406.25
