Answer:
Step-by-step explanation:
In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)
The angle marked 40 degrees has an adjacent side of 
and the hypotenuse of the triangle is 60.
Therefore, we have the equation:
This ODE has characteristic equation
which has roots at 
. Then the characteristic solution to the ODE is
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.
The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:
22/2 = 11 yards
32/2 = 16 yards
Then solve for the area of both circles.
π
π ≈ <span>380.13 (area of the pool)</span>
π
π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
(area of the walkway)
Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:
424.12 ÷ 6 ≈ 70.69
So you'll need 71 gallons of paint!
Hope I helped and let me know if you have any questions :)
Answer:
A=SqRt(c^2-b^2)
Step-by-step explanation:
a^2 + b^2 = c^2
rearrange to solve for a^2
a^2= c^2-b^2
take the square root of each side
a= square root (c^2-b^2)
Answer:
(4, - 6 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 270°
a point (x, y ) → (y, - x ) , thus
(6, 4 ) → (4, - 6 )
