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3 years ago

What does A U B mean?

Mathematics

1 answer:

julsineya [31]3 years ago

6 0

Answer:

Math:The Union of A and B is the set of all those elements which belong either to A or to B or both A and B. use the notation A U B (which is read as 'A union B') to denote the union of set A and set B.

Algebra: n(A U B) = n(A) + n(B) - n(A n B) so 20 = n(A) + 10 - 5 OR n(A) = 15.

I found these as a match for what they stand for, not sure if any of them are exactly what you need, but i hope this helps ^_^

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A rectangular lawn, 100 feet long by 50 feet wide, is to have two sidewalks installed that will cut the lawn in half both ways,

Damm [24]

Answer:

3.41 feet

Step-by-step explanation:

Area = Length × Breath

Area of the rectangular lawn = 100 × 50

= 5000 feet²

The sidewalk must occupy an area no more than 10% of the total lawn area.

So, the area of the sidewalk would be not more than = 10% × 5000

= 0.10 × 5000

= 500 feet²

Let the width of the sidewalk = x feet

area of the side walk = (L×W of the long way) + ((L-x)×W of the short way)

(100 × x) + ((50 - x) × x) < 500

100x + (50-x)(x) < 500

-x² + 150x < 500

-x² + 150x = 500

-x² + 150x - 500 = 0

By using quadratic formula

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

$x=\frac{(-150)\pm\sqrt{(150)^2-4(-1)(-500)} }{2(-1)}$

$x=\frac{-150\pm \sqrt{20500} }{-2}$

$x=75-5\sqrt{205}$ or $x=75+5\sqrt{205}$

x = 3.41089 ≈ 3.41 feet or x = 146.58

Therefore, width of the sidewalk would be 3.41 feet.

5 0

3 years ago

What is the value of digit in ten thousands spot when it's a zero? example: 601,099

In-s [12.5K]

The value really is 0, but it makes the 601 thousands 601 instead of 61. It's difficult to explain really but it needs to be there even though the digit itself has no value.
In words it's 6 hundred and 1 thousand , and ninety one.

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3 years ago

Colin invests £100 into his bank account.

irakobra [83]

Answer: £100×104/100×104/100×104/100×104/100×104/100×104/100×104/100

=131.59

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3 years ago

How many ounces of yogurt can you get<br> for $4.00?

Olenka [21]

It depends how much each pound is

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