Answer:
Height of the cliff = 13.66 m
Step-by-step explanation:
Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.
From right triangle AOC,
tan 30° = 

y =
------(1)
From right angle triangle BOC,
tan 45° = 

x = y - 10
y = x + 10 -------(2)
From equations (1) and (2),



x = 13.66 m
Therefore, height of the cliff is 13.66 m.
Answer:
<h2>

</h2>
Step-by-step explanation:
To find y when x=4, we must first find the relationship between them
The statement
y varies directly with x is written as
<h3>

</h3>
where k is the constant of proportionality
From the question
when y = 1/5
x = 3
Substitute the values into the above formula and solve
That's
<h3>

</h3>
So the formula for the variation is
<h3>

</h3>
From the question
when x = 4
<h3>

</h3>
Hope this helps you
Answer:
x= 0.6
Step-by-step explanation:
Answer: 22 students made the team this year
Step-by-step explanation:
Given : Total students tried out for the team = 40
After a week , 40% of students made the team, students made the team = 40% of 40
= 0.40 x 40
= 16
Remaining students = 40 - 16 = 24
After second week, students made the team = 25% of (Remaining students)
= 0.25 x 24
= 6
Total students made the team this year = 16+ 6= 22
Explanation:If the bank has only quarters and dimes, and its total amount of coins is 250, then be x the amount of quarters it has, it will have 250−x dimes.
A quarter is worth 0.25$, a dime is worth 0.10$ and the 250 coins together are worth 39.25$.