Answer:
john has a greater ratio of shirts to pants
Step-by-step explanation:
jason- 5:2
table:
shirt :5 10 15 20 25 30 35 40 45
pants:2 4 6 8 10 12 14 16 18 20
john-7:3
table:
shirts:7 14 21 28 35 42 49 56 63
pants:3 6 9 1 2 15 18 21 24 27
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:
the answer is 3
Step-by-step explanation:
Answer:1 1/20
Step-by-step explanation:
2 5/8 x 2/5
(8x2+5)/8 x 2/5
21/8 x 2/5
(21 x 2) ➗ (8 x 5)
42 ➗ 40
42/40=21/20=1 1/20
Answer:
Question 7. -2 8. 3/2
Step-by-step explanation:
