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)
54 ÷ (6 - 3) x 2
Explanation:
Use order of operations PEMDAS to check:
54 ÷ (6 - 3) x 2
= 54 ÷ 3 x 2
= 18 x 2
= 36
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19 yards divided by 2.5 minutes.
=19/2.5
= 7.6 yards/minute
Answer: List of the angles from smallest to largest are C, B and A
Step-by-step explanation:
The diagram of triangle ABC is shown in the attached photo. Since none of the sides are equal, then it is a scalene triangle.
From the information given,
AB = m – 2
BC = m + 4
AC = m
It means that the longest side is BC, the medium side is AC and the shortest side is AB. Therefore,
The smallest angle is angle C.
The medium angle is angle B.
The largest angle is angle A
1. divide 75 by 15. this equals 5. multiply 5 by 3 to get 15.
the answer is 3 baseballs
2. 3 buses every 10 minutes. 60 minutes in a hour. multiply 3 by 6 to get 18 buses per hour.