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alexgriva [62]
3 years ago
11

Find the LCD of the fractions, and then simplify the expression. Assume that no denominator equals zero. 5/(3x^2y) - 4/(6xy^3

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0
The LCD = 6x^2y^3    ( because LCD of 3 and 6 = 6,  LCD of x^2 and x = x^2 and LCD of y and y^3 = y^3)

now divide 3x^2y into the LCD  then multiply this  by 5 to get the first term in the numerator  and do similar process to get second term, so we get:-

5(2y^2) - 4(x)
------------------
   6x^2y^3

=  2( 5y^2 - 2x)
   -----------------
        6x^2y^3

=    5y^2 - 2x
      -----------
      3x^2y^3

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The legth of a rectangle is the same as the legth of each side of a square. The legth rectangle is 4 cm more than 3 times the wi
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Let, length and breadth of rectangle is L and B respectively.

It is given that :

The length rectangle is 4 cm more than 3 times the width of the rectangle.

L = 3B + 4  ......1 )

Also, area of square = area of the rectangle + 66

L² = LB + 66

Putting value of L from

L² = ( 3B + 4 )( B ) + 66

L² = 3B²  + 4B + 66

( 3B + 4 )² = 3B²  + 4B + 66

9B² + 16 + 24B = 3B²  + 4B + 66

6B² + 20B - 50 = 0

3B² + 10B - 25 = 0

3B² + 15B - 5B -25 = 0

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B = 5/3 units

L = 3( 5/3 ) + 4

L = 5 + 4 = 9 units

Hence, this is the required solution.

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3 years ago
Greg throws a snowball hitting Kyle 3 out of 5 throws. If Greg makes 60 throws, how many times does he hit Kyle?
evablogger [386]
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mrs_skeptik [129]

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2 years ago
What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame? 16.7° 17.5° 72.5° 73.3°
umka21 [38]

The complete question is

"A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

16.7°, 17.5°, 72.5°,73.3°"

The value of angle x would be 16.7 degrees.

<h3>What is the right triangle?</h3>

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.

The angle of a right angle is always 90 degrees.

In order to find the value of x, a tan would be used.

This is because we have given the opposite and adjacent sides as 10 ft and 3 ft.

Tan Ф = opposite / adjacent

Tan Ф =  (3/10)

= 16.7 degrees

The value of angle x would be 16.7 degrees.

Learn more about a right angle;

brainly.com/question/7116550

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6 0
1 year ago
Which is greater 20.903 or 2.209
goldenfox [79]

Answer:

20.903

Step-by-step explanation:

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