If we let
x as the distance traveled by the boat
y as the distance between the boat and the lighthouse.
Then, we have:
tan 18°33' = 200 / (x + y)
and
tan 51°33' = 200 / y
Solving for y in the second equation:
y = 200 / tan 51°33'
Rearranging the first equation and substituting y
x = 200 / tan 18°33' - 200 / tan 55°33'
x = 458.81 ft
Therefore, the boat traveled 458.81 ft before it stopped.
Answer:
<h2>The answer is 8 ft</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
perimeter = 40 ft
length = 12 ft
Substitute the values into the above formula and solve for the width
That's
40 = 2(12) + 2w
40 = 24 + 2w
2w = 40 - 24
2w = 16
Divide both sides by 2
We have the final answer as
<h3>8 ft</h3>
Hope this helps you
It will take 30 more minutes to fill up the pool completely.
2/3 of the pool has been filled in 1 hour. This equates to 60 minutes. This means that in 30 minutes, 1/3 of the pool has been filled. Another 30 minutes and 2/3 of the pool has been filled.
Finally, another 30 minutes will mean that the whole pool is filled.
Answer:
Cost of an adult ticket is £10.75
Step-by-step explanation:
Given:-
Cost of 1 adult ticket is £6 more that the cost of a child ticket.
Total cost of 6 tickets = £40.50
c is cost of a child ticket and a is the cost of an adult ticket.
To find:- Cost of 1 adult ticket =?
Solution:-
For 2 adults and 4 children, and the total cost of tickets is £40.5, we get the following equation,
-----------------(1)
As the Cost of 1 adult ticket is £6 more than the cost of a child ticket, we can the following equation,
-----------------(2)
Now, substituting the value of a from equation 2 in equation 1 we get,
--------------------(3)
Now substituting the value of c from equation 3 in equation 2,
As a is the cost of 1 adult ticket,
Therefore Cost of an adult ticket is £10.75
