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3 years ago

What is the greatest common factor of 20, 45x?

Mathematics

1 answer:

mote1985 [20]3 years ago

7 0

The greatest common factor of 20 and 45x is 5

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Choose two positive integers a and b, making sure that a<5 and b>80 . The width of a rectangular computer screen is a inch

qwelly [4]

Answer:

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

Step-by-step explanation:

$Height = H$

$Width = H + a$

$Area = Height x Width$

$b = H * (H + a)$

$b = H^{2} + aH$

$H^{2} + aH > 80$

$H^{2} + aH - 80 > 0$

a<5 means 'a' can be a = 1, 2, 3, 4

Solving for H for each option of 'a' will give values of 'H' using the quadratic formula below

$H = \frac{-b\±\sqrt{b^{2}-4ac}}{2a}$

As 'a' and 'b' must be positive integers, H and W must be positive integers as well,

$a = 1, H = 8.46, H = -9.46$

$a = 2, H = 8, H = -10$

$a = 3, H = 7.57, H = -10.57$

$a = 4, H = 7.17, H = -11.17$

Based on above possible answers:

$a=2, H=8$

$W = H + a$

$W = 8 + 2$

$W = 10$

Dimensions of the screen are a minimum of 10 inches wide by 8 inches high. The difference between the height and width will be 2 inches

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3 years ago

Lines a and b are parallel. Parallel lines a and b are cut by transversals s and t. The angles formed by the intersection of lin

notka56 [123]

Answer:

x = 5

Step-by-step explanation:

Given that, exterior angles on the same side of a traversal are supplementary a Hence, sums up to 180°

Given the angles:

7x° + 11x° + 90° = 180°

18x° + 90° = 180°

18x° = 180° - 90°

18x° = 90°

x = 90° ÷ 18

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2 years ago

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julsineya [31]

Angelica would have painted the bedroom in 20 hours if every hour she painted 1/20. But she doesn't paint 1/20 of a room per hour but rather 30 minutes. That means it will take her 10 hours to paint the whole room.

Hope this helps.

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3 years ago

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