<span>To find the union of the two sets simply write all of the elements together into one big set. Remove any duplicate entries (if there are any).</span>
--------------------------------------------------------------
The intersection of the two sets A and B is the set of elements that are in BOTH sets. In this case, there is no overlap so we have
which is a way of saying "the empty set"
The equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S
To answer the question, we need to know what an equation is
<h3>What is an equation?</h3>
An equation is a mathematical expression that show the relationship between two variables.
Given 9cos(sin¯¹(x)) = √(81 – 81x²), we need to show L.H.S = R.H.S
So, L.H.S = 9cos(sin¯¹(x))
= 9[√{1 - sin²(sin¯¹(x)}] (Since sin²y + cos²y = 1 ⇒ cosy = √[1 - sin²y])
9[√{1 - sin²(sin¯¹(x)}] = √9² × √{1 - sin²(sin¯¹(x)}]
= √[9² × {1 - sin²(sin¯¹(x)}]
= √[81 × {1 - sin²(sin¯¹(x)}]
= √[81 × {1 - x²}] (since sin²(sin¯¹(x) = [sin(sin¯¹(x)]² = x²)
= √(81 – 81x²)
= R.H.S
So, the equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S
Learn more about equations here:
brainly.com/question/2888445
#SPJ1
Answer:
Step-by-step explanation:
these are two different questions .
first i solve first
position of submarine= -250/3 meters below see level
height descended=120 % of 250/3=120/100 ×(250/3)=300,00/300=100 m
new location=-250/3+(-100)=-650/3 below see level.
2nd question
position of submarine=-250 2/3=-752/3 m below see level
height descended=120 5/8=965/8 m =-965/8 m below see level
new positin=-752/3+(-965/8)=-(6016+2895)/24=-8911/24=-371 7/24m below sesa level.
Answer:
Step-by-step explanation:
Number of blue marbles = 10
Number of white marbles = 7
Number of Red marbles = 6
Number of Green marbles = 2
Total marbles = 10 + 7 + 6 + 2 = 25
Probability of selecting the blue marble = 10/25 = 2/5
Answer:
<h3>The answer is # 4200</h3>
Step-by-step explanation:
A discount of 40% was allowed on the price
To find the price after the discount first calculate the discount and subtract it from the original price
That's
= 2800
So the price after the discount is
#7000 - #2800
Which is
<h3># 4200</h3>
Hope this helps you
