Well we first need to add up all the purchases, 2 sandwiches are 6.86 each so by multiplying that we get 13.72. Next are the burgers, 3.44 x 4 is 13.76. We don’t need to multiply fries since there’s only one, so that’s just 3.19. Finally there are 4 drinks for 1.52 which gives us 6.08. We need to add these prices all together to get the total. 13.72 + 13.76 + 3.19 + 6.08 = 36.75. In order to find ten percent we multiply 36.75 by .10 which gives us 3.675. Double of 3.675 is 7.35. The price 13.72 (14 rounded) needs to be added with the tax 3.675 (4 rounded) and once again add 7.35. All together we get 25. Are there no other answer choices? Unless I did something wrong I’m sure this is right
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
Answer: the answer is pi (π)
Step-by-step explanation:
Answer:
(x, y) = (2 2/9, -1 4/9)
Step-by-step explanation:
Equate the values of y and solve for x.
1/4x -2 = -2x +3
(2 1/4)x = 5 . . . . . . . . add 2+2x to both sides
x = 20/9 = 2 2/9 . . . multiply by 4/9
y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation
y = -1 4/9
The solution is x = 2 2/9, y = -1 4/9.