Answer:
perimeter 140
Step-by-step explanation:
60L x 10W = 600
60(2) + 10(2) = 140
:D
Height of the water increasing is at rate of 
<h3>How to solve?</h3>
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:

There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:

Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:

In the problem, we are given
So we need to substitute this in:

Hence, Height of the water increasing is at rate of 
<h3>Formula used: </h3>

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Answer:
30 degrees
Step-by-step explanation:
To figure out theta is using a bit of simple trigonometry.
2sin(theta) = 1
= sin(theta) = 0.5
Using arcsin (sin^-1) we can isolate x
x = arcsin(0.5)
x = 30
9514 1404 393
Answer:
{4, 5, 6, 7, 8}
Step-by-step explanation:
The inequality related to the perimeter is ...
x +(x +4) +11 < 32
2x < 17 . . . . . . . . . . . . subtract 15
x < 8.5
The inequality related to the triangle inequality is ...
(x) +(x +4) > 11
2x > 7
x > 3.5
Then possible whole-number values of x are ...
{4, 5, 6, 7, 8}
Answer:
The cost of hardbook is $9 and cost of paperback is $5.
Step-by-step explanation:
Let x be the price for hardback book and y be the price for paperback book.
Mr. Yamamoto purchased 42 new hardcover books and 64 new paperback books, which cost a total of $698.
We can write the equation as:

He also purchased 42 new hardcover books and 58 new paperback books, which cost a total of $668.
We can write the equation as:

We have to use the elimination method to solve the two equations.
We eliminate x by subtracting the two equations.

Thus, the cost of hardbook is $9 and cost of paperback is $5.