3 years ago

Help! find the area of the parallelogram

Mathematics

1 answer:

Sonbull [250]3 years ago

5 0

28.2

Step-by-step explanation

A=bh=6·4.7≈28.2

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For the given maximization problem, (a) determine the number of slack variables needed, (b) name them, and (c) use slack var

sergij07 [2.7K]

Answer:

a) 2

b) s₁ and s₂

c) First linear equation: 5*x₁ + 8*x₂ + 10*x₃ + s₁ = 173

Second linear equation: 5*x₁ + 4*x₂ + 17*x₃ + s₂ = 254

Step-by-step explanation:

The problem statement, establishes two constraints, each one of them will need a slack variable to become a linear equation, so the answer for question

a) 2.

b) The constraints are: s₁ and s₂

c) First constraint

5*x₁ + 8*x₂ + 10*x₃ ≤ 173

We add slack variable s₁ and the inequality becomes

5*x₁ + 8*x₂ + 10*x₃ + s₁ = 173

The second constraint is:

5*x₁ + 4*x₂ + 17*x₃ ≤ 254

We add slack variable s₂ and the inequality becomes

5*x₁ + 4*x₂ + 17*x₃ + s₂ = 254

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3 years ago

Read 2 more answers

An ant moves forward 18.2 inches in one hour. It turns around and crawls 13.5 inches in the next hour. Finally, in the third hou

bija089 [108]

Answer:

9.8 inches.

Step-by-step explanation:

Progress forward = 18.2 - 13.5 + 5.1

= 4.7 + 5.1

= 9.8 inches.

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3 years ago

Write an integer for each situation 1. A deposit of $40 2. A loss of 20 pounds

Thepotemich [5.8K]

1.) +40
2.) -20

1.) A positive increase occurs; the rise of a value.

2.) A negative decrease occurs; a loss of a value.

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3 years ago

The circumference of a circle is 138.16 centimeters. What is the area of the circle?

vodomira [7]

Circumference formula tells you $C=2 \pi r$

 $C=2 \pi r$
 $138.16=2 \pi r$
 $21.99= r$
 $r=21.99cm$ 
The formula to find the area of a circle is $A= \pi r^2$

 $A= \pi r^2$
 $A= \pi (21.99)^2$
 $A= \pi (483.56)$
 $A= 1519cm^2$

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3 years ago

Solve x^2+8x=33 by completing the square. Which is the solution set of the equation? A. -11,3. B. -3,11. C. -4,4. D. -7,7

adoni [48]

Answer:

Step-by-step explanation:

x^2 +8X = 33

x^2 +8X +(8/2)^2 = 33 + (8/2)^2

(x + 8/2)^2 = 49

(x +4)^2 = 49

x = -11

x = 3

8 0

3 years ago