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Sphinxa [80]
3 years ago
5

Please help me! For which I do not understand how to do this..

Mathematics
2 answers:
katovenus [111]3 years ago
6 0
What is the main question asking you about the number line?
SVEN [57.7K]3 years ago
6 0
Mark it between -1.5 and -1 & between 1 and 1.5
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A piece of wire of length L will be cut into two pieces, one piece to form a square and the other piece to form an equilateral t
inn [45]

Answer:

  (a)  square: L; triangle: 0.

  (b)  square: L·(-16+12√3)/11; triangle: L·(27-12√3)/11

Step-by-step explanation:

<u>Strategy</u>: First we will write each area in terms of its perimeter. Then we will find the total area in terms of the amount devoted to the square. Differentiating will give a way to find the minimum total area.

__

In terms of its perimeter p, the area of a square is ...

  A_square = p^2/16

In terms of its perimeter p, the area of an equilateral triangle is ...

  A_triangle = p^2/(12√3)

Then the total area of the two figures whose total perimeter is L with "x" devoted to the square is ...

  A_total = x^2/16 + (L-x)^2/(12√3)

__

(a) We know when polygons are regular, the one with the most area for the least perimeter is the one with the most sides. Hence, the total area is maximized when all of the wire is devoted to the square.

__

(b) The derivative of A_total with respect to x is ...

  dA/dx = x/8 -(L-x)/(6√3)

This will be zero when ...

  x/8 = (L-x)/(6√3)

  x(6√3) = 8L -8x

  x(8 +6√3) = 8L

  x = L·8/(6√3 +8) = 8L(6√3 -8)/(64-108)

  x = L·(12√3 -16)/11

The total area is minimized when L·(12√3 -16)/11 is devoted to the square, and the balance is devoted to the triangle.

5 0
3 years ago
Find the range. 4.7 6.3 5.4 3.2 4.9 3.1 –3.1 9.5 –9.5
WINSTONCH [101]

Answer:

The range is 19

Step-by-step explanation:

First, you have to order the numbers from least to greatest:

-9.5, -3.1, 3.1, 3.2, 4.7, 4.9, 5.4, 6.3, 9.5

Then, you have to find the difference between the largest number and and smallest number. You do this by subtracting them:

9.5 - (-9.5)= 19

So, the range is 19

8 0
3 years ago
PLZZZZ HELPPPPPPPPP!!!! a survey asks teachers and students whether they would like the new school mascot to be a Viking or a Pa
VARVARA [1.3K]

Answer:

B

Step-by-step explanation:

Two events A and B are called independent, when

P(B|A)=P(B),

where P(B|A) is the probability that B occurs given that A has already occurred.

A = randomly selected person is a student

B = randomly selected person prefer "Vikings"

B|A = randomly selected student prefer "Vikings"

Probabilities:

P(A)=\dfrac{100}{125}=\dfrac{4}{5}=0.8\\ \\P(B|A)=\dfrac{80}{85}=\dfrac{16}{17}\approx 0.94

Since

0.80\neq 0.94

we can state that events are not independent.

8 0
3 years ago
Read 2 more answers
3x+15-7x=-7 solve for x
xenn [34]

3x+15−7x=−7

Simplify:

3x+15−7x=−7

3x+15+−7x=−7

(3x+−7x)+(15)=−7(Combine Like Terms)

−4x+15=−7

Subtract 15 from both sides.

−4x+15−15=−7−15

−4x=−22

Divide both sides by -4.

−4x/−4=−22/−4

x=11/2

5 0
3 years ago
Read 2 more answers
Elton and bill share some millions of dollars between them Elton gets $6 million more than bill they shared the money in ratio 5
cestrela7 [59]

Answer:

15 million

Step-by-step explanation:

6 0
2 years ago
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