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denis-greek [22]
1 year ago
15

Kindly solve these questions for me.

Mathematics
1 answer:
OleMash [197]1 year ago
4 0

The perimeter of the rectangle based on the factors given is 46.

<h3>How to calculate the perimeter?</h3>

The area of the rectangle is given as (x² + 13x - 90). This will be:

= (x² + 13x - 90)

= x² + 18x - 5x - 90

= x(x + 18) - 5(x + 18)

= (x - 5)(x + 18)

The sides of the rectangle are 5 and 18. The perimeter will be:

= 2(l + w)

= 2(5 + 18)

= 46

The area of the rectangle is given as (x² + 24x - 81.

= (x² + 24x - 81)

= x² + 27x - 3x - 81

= x(x + 27) - 3(x + 27)

= (x - 3)(x + 27)

The sides are 3 and 27. The perimeter will be:

= 2(l + w)

= 2(27 + 3)

= 60

= (x + 1)² + 3(x + 1) + 2

= (x + 1)(x + 1) + 3x + 3 + 2

= x² + x + x + 1 + 3x + 5

= x² + 5x + 6

Learn more about factors on:

brainly.com/question/219464

#SPJ1

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The coastline of alaska is longer than the entire coastline of the lower forty-eight states

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what is force the product of a. newtons and weight b.position and mass c. newtons and gravity d. mass and acceleration
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Read 2 more answers
Matthew is packing 120 pencils and 108 notebooks
Rasek [7]

9514 1404 393

Answer:

  • 12 boxes
  • 10 pencils, 9 notebooks

Step-by-step explanation:

a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.

  120 = 12×10

  108 = 12×9 . . . . 12 is the greatest common divisor

Matthew can make 12 boxes with equal numbers of the items.

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b) 120 pencils divided by 12 will be 10 pencils per box.

108 notebooks divided by 12 will be 9 notebooks per box.

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<em>Additional comment</em>

It helps to be familiar with multiplication tables up to about 12×12.

The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.

Here, we have ...

  120/108 = 1 r 12.

  108/12 = 9 r 0   ⇒   12 is the GCD

7 0
3 years ago
Is the solution of b x 5/6 = 25 greater than or less than 25
azamat

Answer:

Greater. (30)

Step-by-step explanation:

Simplest way to find out is divide.

Flip 5/6 and multiply.

25 x 6 = 150

150 / 5 = 30

8 0
3 years ago
Help!.!.!.!.!.!.!.!.!.!.!.!.!.!!.!.!.!.!.!.!.!.!.!.
bezimeni [28]

Answer:

<em>~ 0.375 centimeters of the snowflake in real life ~</em>

Step-by-step explanation:

Let us plan out our steps, and solve for each:

<em>1. Given the information, let us create a proportionality as such:</em>

      48       =           1      ⇒   x - centimeters of the snowflake in real life

       18                    x

<em>2. Now let us cross multiply, and solve through simple algebra for x:</em>

48 * x = 18,

x =<em> 0.375 centimeters of the snowflake in real ife</em>

7 0
3 years ago
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