Find the missing side lengths (Use sqrt in place of a square root symbol)

Mathematics

1 answer:

Kitty [74]3 years ago

8 0

Step-by-step explanation:

Because this is a right triangle and it is given that one angle is 45 than also the ather angle is 45 so this triangle has 2 equal sides.So also the ather side is 6 .

Hypotenuse can be found by pythagorean theorem

6^2+6^2=x^2

36+36=x^2

x=√72

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The Wellbuilt Company produces two types of wood chippers, economy and deluxe. The deluxe model requires 3 hours to assemble and

seropon [69]

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:

$P=98D+72E$

being D: number of deluxe units, and E: number of economy units.

The restrictions are:

- Assembly hours: $3D+2E\leq24$

- Paint hours: $0.5D+1E\leq8$

Also, both quantities have to be positive:

$D\geq 0\\\\E\geq0$

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)

$(8;0) \rightarrow P=98*8+72*0= 784\\\\(0;8) \rightarrow P= 98*0+72*8=576\\\\(4;6) \rightarrow P=98*4+72*6=824$