Answer:
B
Step-by-step explanation:
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:
21/9
Step-by-step explanation:
Follow PEMDAS and Order of Operations
We know that
1) <span>Luis bought stock at ---------------> $66.80
2) </span><span>The next day, the price increased $13.85--------> $66.80+$13.85=$80.65
3) </span><span>This new price changed by −2 3 /4 % the following day
2 3/4%----> (2*4+3)/4----> 11/4 %----> 2.75%
so
(100%-2.75%)-----> 97.25%
t</span><span>he final stock price is $80.65*0.9725-----> $78.43
the answer is
</span>$78.43<span>
</span>
Answer:
2.25
Step-by-step explanation:
25% is a quarter
therefore a quarter of 9 is
0.25×9
=2.25
