Answer:
<h3>Three times as large as the pyramid's volume</h3>
Step-by-step explanation:
Let the volume of prism be Vp
Let the Volume of pyramid be Vy
Vp = Base Area * Height .... 1
Vy = Base * Height/3 ....2
From 2;
Vp = BH/3
BH = 3Vy
Since Vp = BH, then;
Vp = 3Vy
This shows that the volume of prism is three times as large as pyramids volume
Answer:
y = - 16t² + 55.6t + 6
Step-by-step explanation:
Using y - y₀ = vt - 1/2gt² where g = 32 ft/s², and v the velocity of the football
So y = y₀ + vt - 1/2 × (32 ft/s²)t²
y = y₀ + vt - 16t² where y₀ = 6.5 ft
y = 6 + vt - 16t²
Now, when t = 3.5 s, that is the time the teammate catches the ball after the quarterback throws it, y = 5 ft. Substituting these into the equation, we have
5 = 6.5 + v(3.5 s) - 16(3.5 s)²
5 = 6.5 + 3.5v - 196
collecting like terms, we have
5 - 6.5 + 196 = 3.5v
194.5 = 3.5v
v = 194.5/3.5 = 55.57 ft/s ≅ 55.6 ft/s
So, substituting v into y, our quadratic model is
y = 6 + 55.6t - 16t²
re-arranging, we have
y = - 16t² + 55.6t + 6
To do this you want to first multiply 28 by 0.15. This will give you $4.20. You have to give a $4.20 tip. The total cost would be the lunch and the tip added together. It would give you a final total of $32.20.
Answer:
see picture with work shown
M= 1/2x+6
N= 1/2x-3
They both have the same slope.
