ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA
The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite
Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent
The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle
θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3
α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
Answer: Option 'B' is correct.
Step-by-step explanation:
Since we have given that
[3.2] [2.7] [2.9] [4.8]
Since they are all of greatest integer functions i.e.
f(x) = [x]
It is known as greatest integer function whose value is always less than or equal to 'x'.
So, [3.2]=3
[2.7]=2
[2.9]=2
[4.8]=4
so, we can see that [2.7] and [2.9] is a equivalent pair.
Hence, Option 'B' is correct.
Answer:
C
Step-by-step explanation:
Parabola with a vertex at (1, 3) opening downward.
Answer: Last Option is correct.
Step-by-step explanation:
Since we have given that
Total number of population = 25000
Percent of sample of Jason = 0.24%
Percent of sample of Yolanda's = 0.32%
So, Number of population according to Jason's sample is given by
Number of population according to Yolanda's sample is given by
Both the sample can be used to make inferences about the population
Hence, Last Option is correct.
Answer:
0.61 ( A )
Step-by-step explanation:
The standard proportion of Sugar, lemon juice and water needed to make a Lemonade is Usually 1 cup each
But If you Intend to make Your lemonade less sweet you can increase the water or reduce the amount of sugar to ≈ 1 ( i.e. less than 1 but approximately = 1 )
Hence The appropriate amount of sugar needed will be = 0.61
