Answer:
see explanation
Step-by-step explanation:
Using the description for the piece wise function
|(a)
f(0) ← x = 0 and x < 5 thus f(x) = x + 4, then
f(0) = 0 + 4 = 4
(b)
f(6) ← x = 6 and 5 ≤ x < 7, thus f(x) = 8, that is
f(6) = 8
volume of paper bag= 16×5×20=1600cmcube
volume of box= 8×3×10= 240
space left = 1600-240= 1360cmcube
hope it helps
Linear functions are those whose graph has a straight line.
What is the angle of elevation θ that is required for a hit ball to just clear the center field fence when it is hit 2 ft above the ground? Show all of your work and round your answer to the nearest hundredth of a degree.
Distance from Home plate to the center field fence: 425 ft
Height of the center field fence: 8 ft
____________________________
ANSWER:
The fence height = 8ft
The fence height takes 2 ft from the ground and doesn't count towards the angle.
Therefore subtract the difference = 8-2 = 6ft
The fence height from the 2ft to the fence top = 6ft
Angle of elevation (θ):
Tan(θ) = opposite/adjacent
Adjacent = Distance from Home plate to the center field fence = 425 ft
Opposite = 6ft
- Tan(θ) = 6/425
- Tan(θ) = 0.0141
- θ = arctan(0.0141)
- arctan = inverse of tangent = tan-¹
- θ = 0.8078°
- Angle of elevation (θ) = 0.81°