Answer:
<em>The SUV is running at 70 km/h</em>
Step-by-step explanation:
<u>Speed As Rate Of Change
</u>
The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.
This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)
We'll compute :


We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

Thus we have

Solving for x'

Since y'=-60


The SUV is running at 70 km/h
Answer:
Sorry i dont know
Step-by-step explanation:
Answer: the answer should be 52
Step-by-step explanation:
All I’d did is 20-32-40=52
Answer:
19.2
6pi
6+3pi
15
sorry it took so long I just seen your question sorry
Answer:
Total Cost of tile = $273.28
Step-by-step explanation:
From the given information:
Let the width be = x
Then, the length of the rectangular kitchen is L = 3x - 9
The perimeter is = 6x
Suppose the cost of the tile = $1.69 a square foot.
Then the total costs to tile the kitchen is calculated as follows:
The Perimeter of the rectangle = 2(L + b)
The Perimeter of the rectangle = 2(3x - 9 + x)
The Perimeter of the rectangle = 2(4x-9)
6x = 8x - 18
- 2x = - 18
x = 18/2
x = 9
Thus, the width = x = 9 ft
the length = 3x - 9 = 3(9) - 9
the length = 27 - 9
the length = 18 ft
Area = L × W
Area = (18 × 9)ft
Area = 162 sq. ft.
Cost of a Tile = $1.69 per sq. ft.
Thus;
Total Cost of tile = $1.69 × 162
Total Cost of tile = $273.28