At what time would you reach 15ft above the water if you jump off a cliff using the formulaH(t)=-16t^2+8t+24
1 answer:
Answer:
1.079 seconds
Step-by-step explanation:
You want to find t when H(t) = 15.
15 = -16t^2 +8t +25
10/16 = t^2 -1/2t . . . . . . subtract 24, divide by -16
10/16 + 1/16 = t^2 -1/2t +(1/4)^2 . . . . . add (1/4)^2 to complete the square
11/16 = (t -1/4)^2
t -1/4 = √(11/16) . . . . . take the positive square root
t = 1/4 +(√11)/4 = (1+√11)/4 . . . . use a common denominator
You would be 15 ft above the water at t = (1+√11)/4 ≈ 1.079 seconds.
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Hope this helps!
Answer:
Depth of Martens aquarium water = 14 cm.
Step-by-step explanation:
Given:
An aquarium,which is a right rectangular prism.
Length of the aquarium, = 18.5 cm
Width of the aquarium, = 15 cm
Volume of the aquarium, = 3885 cm cubes
We have to find the depth of the aquarium.
Let the depth be cm.
Note:
Volume of the rectangular prism,V=lbh.
⇒ =
⇒
⇒ Plugging the values.
⇒
⇒ cm
So,
The depth of the aquarium water is 14 cm.