Set contain all the elements present in both the sets.
<u>Step-by-step explanation:</u>
Definition:
The union of two mathematical sets can be defined as the set that consists of all the elements present in both the sets without the repetition of elements.
Consider, A and B be the sets.
A = {1,7,5,6,0}
B = {2,3,4,5,6}
U is the symbol of union of sets, so A U B = {1,2,3,4,5,6,7,0}
Here 5 and 6 are the elements present in both the sets, so written only once in the set of A U B.
The triangle is an obtuse triangle. No sides are equal.
convert cm to dm
1 dm = 10 cm
side a: 20 cm ⇒ 20cm * 1dm/10cm = 20dm/10 = 2 dm
side b: 30 cm ⇒ 30cm * 1dm/10cm = 30dm/10 = 3 dm
side c: 40 cm ⇒ 40cm * 1dm/10cm = 40dm/10 = 4 dm
We need to get the area of a triangle, but first we need to solve for its height using Heron's formula
s = (a+b+c)/2 = (2+3+4)/2 = 9/2 = 4.5
<span>Area = </span>√<span>(s(s-a)(s-b)(s-c)
</span>h3/2 = √4.5(4.5-2)(4.5-3)(4.5-4)
h3/2 = √4.5(2.5)(1.5)(0.5)
h3/2 = √8.44
h3/2 = 2.91
h = (2.91*2)/3
h = 1.94
A = hb/2 = (1.94*3)/2 = 5.82/2 = 2.91 dm²
48 dm² / 2.91dm² = 16.5 or 17 tiles needed
17 x Rs200 = Rs3,400 is the total cost
Hi there!
Since square roots are non-negative, Inequality is only meaningful if both sides are non-negative. Hence, squaring both sides was indeed valid.
Similarly, applying a decreasing function toboth sides of an in- equality will reverse it.
Cheers!
<em>x</em> ^2 + <em>y</em> ^2 = 9 => <em>y</em> = <em>y(x)</em> = ± √(9 - <em>x</em> ^2)
Each cross section would be a square with side length equal to the vertical distance between the upper and lower semicircles defined by <em>y(x)</em>, which is
√(9 - <em>x</em> ^2) - (- √(9 - <em>x</em> ^2)) = 2 √(9 - <em>x</em> ^2)
The area of each square section is the square of this length,
(2 √(9 - <em>x</em> ^2)) = 4 (9 - <em>x</em> ^2) = 36 - 4<em>x</em> ^2
We get the whole solid for -3 ≤ <em>x</em> ≤ 3, so integrating gives a volume of
