Answer:
Angle 7 or angle DHG
Step-by-step explanation:
Vertical means the opposite angle, or in dictionary definition means each of the pairs of opposite angles made by two intersecting lines. So the vertical angle to angle LHI (angle 9) will be angle DHG (angle 7)
Answer:B
Because when 0.0023 is written in scientific notation the answer is 2.3×10-³ which a negative sign
Step-by-step explanation:
5,600,000
5,600,000÷10
560,000
560,000÷10
56,000
56,000÷10
5,600
5600÷10
560
560÷10
56
56÷10
5.6
5.6×10⁶
23÷10
2.3
2.3×10¹
560÷10
56
56÷10
5.6
5.6×10²
0.0023
0.0023×10
0.023
0.023×10
0.23
0.23×10
2.3
2.3×10-³
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°.