Answer: t = 6 s
Step-by-step explanation:
When Rose hit the water, the height of the jump is 0, so: h(t) = 0.
Resolving it, we have:
-16t² + 16t + 480 = 0
To simplify the second degree equation, divided it by 16:
-t² + t + 30 = 0
Now, solve the equation using Bhaskara:
Δ = 1² - 4. (-1) . 30
Δ = 1 + 120
Δ = 121
t =
t₁ = = - 5
t₂ = = 6
Since time can be negative, it took t = 6s for Rose to hit the water.
Answer:
20
Step-by-step explanation:
Since we have given that
Dimensions of a triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
1) For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
No, it will not be able to make a right triangle.
2) Joel cut the longest piece of wood in order to make a right triangle.
So, from above we get that
So, the longest side must be 17 feet.
It takes him 30 seconds to install each foot of fencing,
The total perimeter of fencing will be
17 + 15 + 8 = 40 feet
So, for 1 foot he needs = 30 seconds
For 40 feet, he will need
40 × 30 = 1,200 seconds
1200/600 = 20 minutes
Hence, he needs 20 minutes to install all of the fences.