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3 years ago

Answer asap please! Include an explanation if you’re able to :)

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

7 0

Answer:

12.58

Step-by-step explanation:

sin 57 = x/15

15 * sin (57) = x

x = 12.58

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A health clinic dietician is planning a meal consisting of three foods whose ingredients are summarized as follows: One Unit ofF

aleksley [76]

Answer:

z (min) = 360 x₁ = x₃ = 0 x₂ = 3

Step-by-step explanation:

Protein Carbohydrates Iron calories

Food 1 (x₁) 10 1 4 80

Food 2 (x₂) 15 2 8 120

Food 3 (x₃) 20 1 11 100

Requirements 40 6 12

From the table we get

Objective Function z :

z = 80*x₁ + 120*x₂ + 100*x₃ to minimize

Subjet to:

Constraint 1. at least 40 U of protein

10*x₁ + 15*x₂ + 20*x₃ ≥ 40

Constraint 2. at least 6 U of carbohydrates

1*x₁ + 2*x₂ + 1*x₃ ≥ 6

Constraint 3. at least 12 U of Iron

4*x₁ + 8*x₂ + 11*x₃ ≥ 12

General constraints:

x₁ ≥ 0 x₂ ≥ 0 x₃ ≥ 0 all integers

With the help of an on-line solver after 6 iterations the optimal solution is:

z (min) = 360 x₁ = x₃ = 0 x₂ = 3

3 0

3 years ago

Find the approximate length of the track, including the straight and circular sections

puteri [66]

Answer:

mannn u figure it out

Step-by-step explanation:

6 0

3 years ago

#A crane is lowering a concrete block from a height of 240 feet above the ground at a constant rate of 4.8 feet per second.

Anna007 [38]

Answer:

Step-by-step explanation:

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3 years ago

Madison is carrying a 11.3 liter jug of sports drink that weighs 7 kg.

stellarik [79]

Answer:

$\large\boxed{\large\boxed{constat\text{ }multiple=\frac{113liter}{70kg}}}$

Explanation:

The <em>constant multiple of liters in a jug to the weight in kilograms</em> is the ratio or <em>fraction</em> that represents the number of liters of the sports drink in a jug to the weight.

$constat\text{ }multiple=ratio=\frac{number\text{ }of\text{ }liters}{weight\text{ }in\text{ }kg}$

$constat\text{ }multiple=\frac{11.3liter}{7kg}$

Convert the fraction into an equivalent fraction with integer numbers:

$constat\text{ }multiple=\frac{11.3liter\times 10}{7kg\times 10}=\frac{113liter}{70kg}$

Since, the fraction cannot be reduced, that is the answer.

6 0

3 years ago

Determine if the two triangles are congruent. if they are, state how you know.

worty [1.4K]

Answer:

SSS congruent

Step-by-step explanation:

AB = ML

AC = MN

CB = NL

Both triangles are congruent by SSS

7 0

3 years ago