h(t) is the height of the diver in feet above the water
Now it asks about the time at which diver reaches the water
When diver reaches the water , the height of diver from water should be zero
So we plug h(t) =0
So

divide whole equation by -16

we can now factor the quadratic equation
So we get
(t+4)(t-3) =0
plug each factor equal to zero and solve for t
t+4 =0 and t-3 =0
So t=-4 and t=3
Now time cannot be negative , So t=3
So time = 3 seconds
It takes 3 seconds for the diver to reach the water
Step-by-step explanation:
I didn't know this off of the top of my head, and I used Google to help me. Simply searching "30 60 90 right triangle" gave me a few very helpful links. For future reference, if no one is answering here, Google may be your friend.
The (credible) site that I found tells me
"The basic 30-60-90 triangle ratio is:
Side opposite the 30° angle: x
Side opposite the 60° angle: x * √3
Side opposite the 90° angle: 2x"
The side opposite the 30 degree angle is a value called "x" according to this site. This would mean that y is x, which is confusing, so we can just say that the value of y is y (if you want to go a little more in depth, I will simply be referring to what the site refers to as "x" as "y"). To begin, the side opposite the 30 degree angle, which is 8√3, is y * √3. This means that y is 8. Then, the remaining side is 2*y, which is 16.
Please let me know if you have any further questions or concerns.
Answer:
38 times
Step-by-step explanation:
A coin has two sides, so there is a 50% chance it will land on either side (assuming perfect conditions and that the coin cannot land vertically). With that in mind, if you flip a coin 76 times, 50% or 1/2 of the times the coin should land on tails. That is 36 times. (Once again, this is under perfect testing conditions. In real life, you probably wouldn't get an even split after only 76 flips.)
Hope this helps :)
Answer:
-4≤ g
Step-by-step explanation:
subtract the 7 to move the numbers to one side