Answer:
Question 1: The hours that will pass between two consecutive times, when the water is at its maximum height is π hours
Question 2: Sin of the angle is -0.8
Step-by-step explanation:
Question 1: Here we have h(t) = 4·cos(t) + 10
The maximum water level can be found by differentiating h(t) and equating the result to zero as follows;


∴ sin(t) = 0
t = 0, π, 2π
Therefore, the hours that will pass between two consecutive times, when the water is at its maximum height = π hours.
Question 2:
B = (3, -4)
Equation of circle = x² + y² = 25
Here we have
Distance moved along x coordinate = 3
Distance moved along y coordinate = -4
Therefore, we have;

Sinθ = sin(-53.13) = -0.799≈ -0.8.
Answer:
30 with extra
Step-by-step explanation:
It would be 29 and a little more but she would need 30 and have leftovers.
Subtract 15 from 7 and you get -8
So the answer is -8 degre C
Answer:
$351.00
Step-by-step explanation:
P is the principal amount, $900.00.
r is the interest rate, 3.00% per year, or in decimal form, 3.00/100=0.03.
t is the time involved, 13....year time periods.
So, t is 13....year time periods.
To find the simple interest, we multiply 900 × 0.03 × 13 to get the the answer.
Cheers mate!
On Saturday Nikki and Tyler walked to the local farmers market Nikki bought 8 apples for $6 dollars and Tyler brought 3 fewer apples than Nikki. How much did Tyler spend on apples?
Tyler brought 8 apples - 3 apples = 5 apples.
To calculate the price of 5 apples we have to establish a proportion :
If 8 apples cost $6
Then 5 apples will cost $X
X = 5apples * $6/8apples = $3.75
Answer : Tyler spent on apples $3.75
Hope this helps!