Answer:
y = 225
Step-by-step explanation:
since y and x are directly proportional the equation relating them is
y = kx ← k is the constant of proportionality
to find k use the given condition y = 288 when x = 32
k = = = 9
y = 9x ← is the equation of proportionality
when x = 25, then
y = 9 × 25 = 225
<span>In 4 years, you will have $324.73</span>
Answer:
The height of the tower is 2250 meters
Step-by-step explanation:
let's say that when the angle of elevation is x°, the distance to the base of the tower is 'd'. So when the angle of elevation is y°, the distance is d+150.
The tangent of the angle of elevation is the height of the tower (opposite side) over the horizontal distance to the tower (adjacent side).
Then we have that:
angle of elevation x°:
angle of elevation y°:
Answer:
3 or 2.999 (probably 3)
Step-by-step explanation:
So the volume of a cylinder = πr^2 * h
h = height
r = radius
now we know the radius. Leaving us with a simple equation which is:
π*9*h = 9π*h = 84.78 =
π*h = 9.42
h = 9.42 / π = 2.99847912785......
but we can round this to 2.999 or just 3. if you use 2.999 the volume is 84.79 which is as close as I'm gonna try to get. And you might ask why we're rounding to 2.999 and not 2.998? This is because that huge number is the minimum. And 2.998 is smaller than that huge number, meaning it would technically be less than 84.78 cubic ft. But this doesn't really matter because the answer your teacher is probably looking for is 3.
Reference my work if you're are confused, however, it's really messy so sorry about that.