0.17 sense you have to round it to the nearest hundreth
Answer:
The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
Step-by-step explanation:
We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.
Answer:
4,962 yards.
Step-by-step explanation:
We are given that,
For the first 5 games, Michael threw 1,654 yards.
Since, we see that, the relationship between the yards and the games are directly proportional.
Then for 15 games,
Michael will have thrown for
yards i.e. 1654 × 3 = 4,962 yards
Hence, for 15 games, Michael have thrown for 4,962 yards
Remember, rise/run is the easiest way to determine slope
y=mx+b is form
mx is slope, whilst b is y int
so, answer? y=-3x-2
Or A.
If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.