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Mashutka [201]
3 years ago
13

The box show the weights in pounds of the dogs in two different animal shelters. Which describes the spread of the data in the t

wo box plots?
Mathematics
2 answers:
lions [1.4K]3 years ago
8 0

Answer: A

Step-by-step explanation: shelter A

Alina [70]3 years ago
4 0

Answer: A ( the data in shelter A show more spread than the data in shelter B )

Step-by-step explanation:

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The factors of x cube -10x square -53x-42
Verdich [7]

Answer:

<em><u></u></em>x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)<em><u></u></em>

Step-by-step explanation:

 x^3 - 10x^2 -53x - 42

The factors of 42 : ±1 , ±2 , ±3 , ±6, ±7, ±14, ±21 , ±42

<u>Using trial and error method we will find the first root of the polynomial.</u>

1 : ( 1 )³ - 10 ( 1 )² - 53 ( 1 ) - 42

     1 - 10 - 53 - 42  ≠ 0

   Therefore 1 is not a root

-1 : ( -1 )³ - 10 (- 1 )² - 53 (- 1 ) - 42

      - 1 - 10 + 53 - 42

       53 - 53 = 0

Therefore - 1 is a root of the polynomial.

Therefore ( x + 1) is a factor.

<u>Now by long division or by using synthetic division we can find other factors.</u>

<u>Synthetic Division :</u>

                             -1 | 1      -10       -53      - 42

                                | 0     - 1          11          42

                                |______________________

                                  1      - 11       - 42        0

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x^2 - 11x +42)  ------ ( 1 )

<u>Next further factorize x² - 11x - 42</u>

   x² - 11x - 42

= x² -  14x + 3x - 42

=x(x - 14) + 3 (x - 14)

=(x + 3 )(x - 14)

Therefore ,

x^3 - 10 x^2 -53x -42 = ( x + 1)(x + 3) (x - 14)

4 0
3 years ago
Please help me I’m hella confused
shepuryov [24]

Answer:

m\angle 2=33^\circ

Step-by-step explanation:

<u>Right Triangle</u>

The figure shows a right triangle with angles 2 and 3 unknown.

The sum of the internal angles of all triangles is 180°, since one of them is 90°, then the sum of the rest of the angles is 90°. It means that:

m\angle 2+m\angle 3=90^\circ

The measures of both angles are expressed as functions of x. Substituting their values:

x+8 + 2x + 7 = 90

Simplifying:

3x + 15 = 90

Operating:

3x = 90 - 15 = 75

Solving:

x = 75 / 3 = 25

x = 25°

Now, the measure of angle 2=x+8 = 33°

\boxed{m\angle 2=33^\circ}

7 0
3 years ago
Find the VOLUME of the triangular prism.
madam [21]

The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

We have a triangular prism shown in the picture with dimensions.

As we know, the volume of the triangular prism is given by:

V = bhl/2

h = √[2²- (2/2)²]

h = √(4-1)

h = √3 units

V = (2×√3×5)/2

V = 5√3 cubic units

Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.

Learn more about the volume here:

brainly.com/question/16788902

#SPJ1

5 0
2 years ago
Find the diagonal of a square whose sides are of the given measure. Given = 6sqrt2
jeyben [28]

Answer:

=12 units

Step-by-step explanation:

When a square is cut along one diagonal, it forms a right angled triangle whose legs are the sides of the square and the hypotenuse is the diagonal of the square.

Therefore, the Pythagoras theorem is used to find the hypotenuse.

a² + b² = c²

(6√2)²+(6√2)²=c²

72+72=c²

c²=144

c=√144

=12

The diagonals of the square measure 12 units each.

 

6 0
3 years ago
Simplify each of the following expressions to find the length of the tightrope
sattari [20]
What is the length ?
4 0
3 years ago
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