Answer:
24
Step-by-step explanation:
Let x be the points he scored in his best game. x-8 would then represent each of his last 3 games.
(x-8)*3 = 2x
3x-24=2x
x=24
Arctan (√3 /3) = 30°. = π/6 rad
That is the value searched, in degrees and radians.
You can verifiy that tan(30°) = sin(30°) / cos(30°) = [1/2] / [√3/2] = 1/√3 = √3 / 3
A). because B,C, and D didnt really make any sence
For a linear function: The graph is a straight line
For a non-linear function: The graph is not a straight line
The given graph is not a straight line and is rather a curve with several turning points i.e several ups and downs. Hence the graph belongs to a Non-Linear Function.
A relation is non-function when it passes through same x value more than once. Since this cannot be observed in the given graph, the graph belongs to a function.
Therefore, the correct answer to this question is "Non-Linear Function"
Answer:
∠S = 151
Step-by-step explanation:
The figure shown is a pentagon
The angles in a pentagon add up to equal 540
Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540
Or 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540
This is the equation we will use to solve for x
Step 1 combine like terms
10x = 5x + 7x + 13x + 8x = 43x
-3 + 2 - 11 - 31 - 19 = -62
We now have 540 = 43x - 62
Step 2 add 62 to each side
-62 + 62 cancels out
540 + 62 = 602
we now have 602 = 43x
Step 3 divide each side by 43
43x / 43 = x
602 / 43 = 14
we're left with x = 14
Finally we plug in 14 for x in the given expression for ∠S
∠S = 13x - 31
* substitute 14 for x *
∠S = 13 ( 14 ) - 31
∠S = 13 * 14 = 182
182 - 21 = 151
Thus, ∠S = 151
