Explain why the expression 7•3x is not equal to the expression 21x
1 answer:
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Answer:
The maximum profit is reached with 4 deluxe units and 6 economy units.
Step-by-step explanation:
This is a linear programming problem.
We have to optimize a function (maximize profits). This function is given by:
being D: number of deluxe units, and E: number of economy units.
The restrictions are:
- Assembly hours:
- Paint hours:
Also, both quantities have to be positive:
We can solve graphically, but we can evaluate the points (D,E) where 2 or more restrictions are saturated (we know that one of this points we will have the maximum profit)
The maximum profit is reached with 4 deluxe units and 6 economy units.
Answer:
Option C is correct.
Ratio of longer leg to hypotenuse is;
Step-by-step explanation:
This is the special right angle triangle 30°-60°-90° as shown below in the figure.
- The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
- The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.
- Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.
In 30°−60°−90° right triangle,
- the length of the hypotenuse is twice the length of the shorter leg,also
- the length of the longer leg is
times the length of the shorter leg.
Then:
the sides are in proportion i.e,
Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is:
