Step-by-step explanation:
the job benefits is everything he gets in addition to the regular salary.
that is here
$1945 health insurance
$ 234 life insurance
$4213 paid time off
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$6392 job benefits per year
Answer:
They have 69 cookies left.
Step-by-step explanation:
7 x 14 = 98
98 - 29 = 69
(f - 7)/g = h
f - 7 = gh
f = gh + 7
Answer:
A
Step-by-step explanation:
73+107 = 180. When the smaller of the two angles is 73 all of the smaller angles are also going to be 73 and since the angles MTS and STN are bigger angles they both have to be 107
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°.