Answer:
The boat will be approaching the dock at 12.05 ft. per min.
Step-by-step explanation:
See the attached diagram.
Let, P is the position of the pulley and B is the position of the boat.
So, from the right triangle Δ ABP,
AB² = PB² - AP² .............. (1)
= 90² - 8²
= 8036
⇒ AB = 89.64 ft.
Now, differentiating equation (1) with respect to time, t in minutes, we get
{Since AP is constant}
⇒
⇒ ft. per minute.
Therefore, the boat will be approaching the dock at 12.05 ft. per min. (Answer)
Answer:
Perimeter = 30 yd
Area = 43.301 yd²
Step-by-step explanation:
The Triangle has three equal sides of 10 yd each. It is therefore an equilateral triangle with equal angle measuring 60° each.
Thus:
✔️ Perimeter = sum of all sides = 10 + 10 + 10 = 30 yd
✔️Area can be found using, A = ½*ab*Sinθ
Where,
a = 10 yd
b = 10 yd
θ = 60°
A = ½*10*10*Sin 60
A = 43.301 yd² (3 decimal places).
Answer:
The slope for number 4 is 5/-4 and for number 6 is 4/1
Step-by-step explanation:
5/-4: slope is rise over run so you have to go up (positive) 5 and you have to go to the left (negative) so its 5/-4
4/1: again it's rise over run so you have to go up (positive) 4 and right one (positive)
Answer:
Step-by-step explanation:
65
Answer:
-6°
Step-by-step explanation:
x(original temperature)
t (time)
r (rate)
original x-(r×t)
Q) x-(2×-3)
=x-6