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amm1812
3 years ago
15

A rectangular game board measures 126 centimeters by 90 centimeters. The game board is divided into small squares of equal size.

a. Find the longest possible length of the side of one of the squares. (Hint: use prime factorization)
Mathematics
1 answer:
Ivahew [28]3 years ago
8 0
The area of your game board is = 126 * 90 = 11340 cm^2;
A small suares has x^2 his area; where x measure his length;

Prime factorization

11340 | 2
 5670 | 2
 2835 | 5
  567  | 3
  189 | 3
    63 | 3
    21 | 3
      7 | 7
      1

11340 = 2^2 * 3^4 * 5 * 7 = 2^2 * ( 3^2 ) ^ 2 * 5 * 7 = 18^2 * 5 * 7

We observ that the possible length of the side is 18( we have 35 small squares ).
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Simplify (5+22)×(35-27)+6 squared
blagie [28]

Answer:

71

Step-by-step explanation:

5+22=27

35-27=8

6squared=36

27+8+36=71

8 0
2 years ago
Find the inverse function of <img src="https://tex.z-dn.net/?f=y%3D3%5E%7Bx-2%7D" id="TexFormula1" title="y=3^{x-2}" alt="y=3^{x
kirill [66]

Step-by-step explanation:

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y

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or

x

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y

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Hence inverse of

y

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x

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3

x

−

2

is

y

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2

x

+

3

x

−

1

Observe that each of the function is a reflection of the other in the line

x

=

y

.

graph{(y-(x+3)/(x-2))(y-(2x+3)/(x-1))(x-y)=0 [-10, 10, -5, 5]}

6 0
3 years ago
Find the area of a rectangle with a width of x3 + 5x - 9 and a length of x2 + 8.
Drupady [299]

Answer:

A = x⁵ + 13x³ - 9x² + 40x - 72  

Step-by-step explanation:

The formula for the area of a rectangle is length X width, or A = lw.

Substitute the equations for the sides into the formula:

A = lw

A = (x² + 8)(x³ + 5x - 9)      <= use the distributive property

A = x⁵ + 5x³ -9x² + 8x³ + 40x - 72   <= collect like terms

A = x⁵ + 13x³ - 9x² + 40x - 72

4 0
3 years ago
1. Knowing that the area of a rectangle and a parallelogram is (base * height), use the given side length and
astraxan [27]

Answer:

51.84sq

Step-by-step explanation:

4 0
3 years ago
A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of
crimeas [40]
So there's 8 tiles.
Radius from archway to the outer edge would be : 7 +1 = 8ft

You can use this formula to count the area of semi circle : π r^2/2

A = 3.14 x 8ft^2 = 100.48 ft ^2
A = 3.14 x 7ft^2=  76.92  ft^2

100.48 - 76.92 = 23.55 ft^2

Then you have to divide it with the total tiles 
23.55/8 = 2.94 ft^2 per tile >> (rounded to nearest tenth)

hope this helps
5 0
3 years ago
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