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Olin [163]
3 years ago
10

Help and explain please.

Mathematics
2 answers:
Over [174]3 years ago
7 0
I believe the answer would be 6.70820393 or ≈ 6.7 depending on how many decimal points you can put in.

So a^2+b^2 = c^2

In this case you are trying to find b

2^2+b^2 = 7^2
4 + b^2 = 49
B^2 = 45
b = the square root of 45

That is 6.70820393 or ≈ 6.7

Then see if it makes sense

2^2 + 6.7^2 = c^2

2(2) = 4
6.7(6.7) ≈ 45 (44.89)
———————-
49

And the square root of 49 is 7

Please correct me if I am wrong and have a good day
ruslelena [56]3 years ago
3 0

Answer:

  • a2 + b2 = c2
  • 4 + b2 = 49
  • b =
  • \sqrt{45}

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Solve the linear programming problem.
larisa [96]

Answer:

1. Objective function is a maximum at (16,0), Z = 4x+4y = 4(16) + 4(0) = 64

2. Objective function is at a maximum at (5,3), Z=3x+2y=3(5)+2(3)=21

Step-by-step explanation:

1. Maximize: P = 4x +4y

Subject to: 2x + y ≤ 20

x + 2y ≤ 16

x, y ≥ 0

Plot the constraints and the objective function Z, or P=4x+4y)

Push the objective function to the limit permitted by the feasible region to find the maximum.

Answer: Objective function is a maximum at (16,0),

              Z = 4x+4y = 4(16) + 4(0) = 64

2. Maximize P = 3x + 2y

Subject to x + y ≤ 8

2x + y ≤ 13

x ≥ 0, y ≥ 0

Plot the constraints and the objective function Z, or P=3x+2y.

Push the objective function to the limit in the increase + direction permitted by the feasible region to find the maximum intersection.

Answer: Objective function is at a maximum at (5,3),

              Z = 3x+2y = 3(5)+2(3) = 21

7 0
3 years ago
If F(x) = 2x^ln(x), then F'(2) =
pantera1 [17]

Answer:

eln2(x)ln(x4)/x

I HOPE THIS HELPED!

Step-by-step explanation:

7 0
3 years ago
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The sum of 4 times a number and 15 is 47. Find the number.
Bezzdna [24]

Answer:

The number is 8.

Step-by-step explanation:

Write an equation then solve by isolating the variable.

let x be the number

4x + 15 = 47  Subtract 15 from both sides

4x = 47 - 15

4x = 32     Divide both sides by 4

x = 32/4

x = 8

Therefore the number is 8.

7 0
3 years ago
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Can yall please help me<br> ¿Pueden ayudarme por favor?
juin [17]

Answer:

136/2 = 68

Step-by-step explanation:

8 x 8 = 64 and

12 x 6 = 72

72 + 64 = 136

7 0
3 years ago
Read 2 more answers
ANSWER ASAP!! GIVING BRAINLIEST TO FIRST PERSON TO ANSWER BOTH QUESTIONS!!!
matrenka [14]

Answer:

The answer to your question is:

x = 1

Square's perimeter = 12

Rectangle perimeter = 12

The value of x is one and the perimeter of the square and the rectangle is the same.

Step-by-step explanation:

Data

Side of Square = 4x - 1

Length of rectangle = 2x + 1

Width = x + 2

Perimeters are the same

Process

Square perimeter = 4(4x - 1)

Rectangle's perimeter = 2(2x + 1) + 2(x+ 2)

Then

                 4(4x - 1) =  2(2x + 1) + 2(x+ 2)       Equation

                 16x - 4 = 4x + 2 + 2x + 4      

                 16x - 4 = 6x + 6

                 16x - 6x = 6 + 4

                 10x = 10

                 x = 10 / 10

                 x = 1      

Perimeter of the square = 4(4(1) - 1)

                                        = 4(3)

                                        = 12

Perimeter of the rectangle = 2(2(1) + 1) + 2((1)+ 2)

                                            = 2(3) + 2(3)

                                            = 6 + 6

                                            = 12

8 0
3 years ago
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