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Leno4ka [110]
3 years ago
8

Find the value of each variable. X and y. 26 30

Mathematics
1 answer:
meriva3 years ago
3 0

Answer:

x = 13 and y = 13√3

Step-by-step explanation:

Recall that sin Ф = opposite side / hypotenuse, and that

                   cos Ф = adjacent sice / hypotenuse.

if we recognize that the angle Ф is 30° here, then we know that:

x = opposite side = hypotenuse * sin 30° = 26*(1/2) = 13.

and....

y = adjacent side = hypotenuse*cos 30° = 26*√3/2 = 13√3

In summary, x = 13 and y = 13√3

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(From Textbook) A company makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce,
Doss [256]

Answer:

The company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

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Let x be the number of ounces of chicken

let y be the number of ounces of grains

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Chicken has protein in 1 ounce = 10

Chicken has protein in x ounces = 10x

Chicken has fat in 1 ounce = 5

Chicken has fat in x ounces = 5x

We are also given that grain has 2 grams of protein and 2 grams of fat per ounce

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Grain has protein in y ounces = 2y

Grain has fat in 1 ounce = 2

Grain has fat in y ounces =2y

Now we are given that . A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.

So, equation becomes:

10x+2y\geq 200 ---A

5x+2y\geq 150  ---B

Since x and y represent the ounces .

So, x\geq 0 ---C and y\geq 0 ----D

Plot A ,B ,C and D on the graph

Refer the attached graph so , the corner points are (0,100),(10,50) and (30,0)

We are also given that chicken costs 10 cents per ounce and grain costs 1 cent per ounce

So, Cost function becomes : c=10x+y

At(0,100)

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c=10x+y

c=10(10)+50

c=150

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c=10x+y

c=10(30)+0

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Minimum cost is 100 cents at (0,100)

So,  the company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

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3 years ago
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dimaraw [331]

Answer:

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