Answer:
C= 68
Step-by-step explanation:
We see that C grows bigger, as x and y grows bigger. So we want x to be as large as possible. But by the second constraint, x can at most be 5. So we choose
x=5
Now we use x=5 and the fourth constraint to find y
4*x-y
1
4*5-y
1
-y
1-4*5
y
19
Thus, y can at most be 19.
So for x=5, y=19,
C=6*5+2*19 = 30 + 38 = 68
To find the volume of a rectangular object, measure the length, width and height.
Multiply the length times the width and multiply the result by the height.
The result is the volume.
Give the result in cubic units, such as cubic centimeters.
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Answer:

Step-by-step explanation:
In any 30-60-90 triangle, the side lengths are in the ratio
, where
is the hypotenuse, or longest side, of the triangle and
is the side opposite to the 30 degree angle.
In the given 30-60-90 triangle, the longest side (hypotenuse) is marked as 24. Since
is opposite to the 30 degree angle,
Therefore, we have:

Based on our side length ratio
,
is then:
