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
Answer:
Cos;
26 degrees
Step-by-step explanation:
Recall: SOH CAH TOA
Reference angle = y°
Adjacent side = 18 in.
Hypotenuse = 20 in.
We would apply the trigonometric function CAH since we are dealing with the Adjacent side (A) and the Hypotenuse (H). Thus:
Cos y° = Adj/Hyp
Cos y° = 18/20
Cos y° = 0.9
y° = cos^{-1}(0.9)
y = 25.8419328° ≈ 26 degrees (nearest whole degree)
The answers are:
Cos and 26 degrees
Answer:The slopw is -1/2
Step-by-step explanation
A slope that is a opposite reciprocal of another slope is always perpendicular. Make sure it is a opposite reciprocal. Not just a regular reciprocal.
When a line is perpendicular, the slope is the negative reciprocal. Therefore, since the slope is 4, the slope of a line perpendicular is -1/4
Answer:
3.25 days
Step-by-step explanation:
Irri is traveling in a group of 8 cat warriors. Each cat needs 4 liters of milk per day to maintain good morale.
The total number of liters for the cat is calculated as:
8 × 4 liters of milk
= 32 liters of milk.
Another cat has enough milk to last for 2days.
= 4 liters of milk × 2 days
= 8 liters
Mirri has a supply of 96 liters of milk.
Total liters of milk = 96 liters + 8 liters
= 104 liters
Which equation can we use to find the total number of days the milk will last?
This is calculated as:
= 104 liters/32 liters
= 3.25 days