Answer:
119.05°
Step-by-step explanation:
In general, the angle is given by ...
θ = arctan(y/x)
Here, that becomes ...
θ = arctan(9/-5) ≈ 119.05°
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<em>Comment on using a calculator</em>
If you use the ATAN2( ) function of a graphing calculator or spreadsheet, it will give you the angle in the proper quadrant. If you use the arctangent function (tan⁻¹) of a typical scientific calculator, it will give you a 4th-quadrant angle when the ratio is negative. You must recognize that the desired 2nd-quadrant angle is 180° more than that.
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It may help you to consider looking at the "reference angle." In this geometry, it is the angle between the vector v and the -x axis. The coordinates tell you the lengths of the sides of the triangle vector v forms with the -x axis and a vertical line from that axis to the tip of the vector. Then the trig ratio you're interested in is ...
Tan = Opposite/Adjacent = |y|/|x|
This is the tangent of the reference angle, which will be ...
θ = arctan(|y| / |x|) = arctan(9/5) ≈ 60.95°
You can see from your diagram that the angle CCW from the +x axis will be the supplement of this value, 180° -60.95° = 119.05°.
Answer:
x = 14
Step-by-step explanation:
You want to solve for x, right?
(x-5)^(1/2)+5=2
You have it right so far.
(x - 5)^(1/2) = -3
(x - 5) = (-3)^2
x - 5 = 9
x = 9 + 5 = 14
Answer:
First, 3 people divide $30, then each one of them pays:
$30/3 = $10.
Each one of them gets $1 in refound.
Then at the moment, each one of them paid $9, and there are 3 friends, so the total amount is 3*$9 = $27.
We also know that the cashier keeps $2, but these $2 must come from the $27 that the friends paid.
Then we will have $27 = $25 + $2.
This means that the total cost was $25, and the cashier kept $2 as a tip.
Now, in your problem, you add the $2 that the cashier kept to the $27 that the friends paid. While those $2 actually are already counted in the $27 that the friends paid.
Multiply 44580 by .47
that gives you 20952.6 which equals 47% of the water
take the 44580, and subtract the 20952.6
giving you the remainder as your answer
23627.4
