Answer:
The vertex is (-5, -2)
Step-by-step explanation:
y = 2(x + 5)^2 - 2
The vertex form of a parabola is
y =a(x-h)^2 +k where (h,k) is the vertex
y = 2(x - -5)^2 - 2
The vertex is (-5, -2)
Answer:
10%
Step-by-step explanation:
(1650 - 1500)
/1500
= 10%
The coordinates of a particle of water "t" seconds after it leaves the end of the fire hose will be
.. (x, y) = (38.4*cos(47.5°)t, -4.9t^2 +38.4*sin(47.5°)t)
Solving for t, we have
.. t = x/(38.4*cos(47.5°)
For x = 25.7 meters, t is about 0.99065 seconds.
Then y will be
.. -4.9*(0.99065)^2 +38.4*sin(47.5°)*0.99065 = 23.238 . . . . meters
The water will hit the building about 23.24 meters above the height of the hose.
4 inches = 1/3 foot
So the volume of that section is (150ft x 5ft x 1/3 ft) = 250 cubic feet
The whole trick to this question is knowing
how many cubic feet make 1 cubic yard.
1 yard = 3 ft
(1yd x 1 yd x 1yd) = 1 yd³
(3ft x 3ft x 3ft) = (3 ft)³ = (3)³ x (ft)³ = 27 ft³ <===
For the sidewalk project,
250 ft³ = (250 / 27) = 9.26 yard³ .
I think the way concrete contractors operate, they'll
want you to order and pay for 10 cubic yards.