Answer:
93 feet
Step-by-step explanation:
Let us first find the time it takes to reach the maximum height. We can do this by differentiating the height function to get velocity:
dh(t)/dt = v(t) = -32t + 72
The maximum height will occur when the velocity becomes 0. Therefore, the time it takes to reach maximum height is:
0 = -32t + 72
32t = 72
t = 72/32 = 2.25 seconds
Therefore, the maximum height of the pumpkin is:
h(2.25) = -16(2.25)^2 + 72(2.25) + 12
h(2.25) = -81 + 162 + 12
h = 93 feet
40000+1000x=60000
-40000. -40000
1000x=20000
x=20
Answer:
70.7
Step-by-step explanation:
a2 +b2 = c2
50^2 + 50^2 = c2
c2 = 2500+2500
c = 
= 70.7
I hope im right!
Answer:
4; 7
Step-by-step explanation:
Small box = 25 and Large box = 50
small box = x and large box = x+3
25x+50(x+3)=450
25x+50x+150=450
75x=300
x=4
Large box = 4+3 = 7
Therefore, 4; 7
I hope this helped and have a good rest of your day!
Answer: C) 78 in2
Step-by-step explanation:
The polygon is divided into two trapezoids with equal measurements.
Area of a trapezoid:
1
2
(b1 + b2)h
Since the area of the hexagon equals the area of two trapezoids with equal measurements, do not multiply by 1/2.
(b1 + b2)h
(10 + 16)3
26(3)
78 in2
