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:
Number of points scored in the first half of the match is 24 points.
Step-by-step explanation:
Total point scored in the volleyball game = 32
Let us assume the points scored in the first half = m
and the point scored on the second half = 2/8 of (Total points)
= 
⇒ The number of points s cored in the second - half = 8 points
Now, Points in FIRST half+ Points in SECOND half= Total Points
⇒ m+ 8 = 32
or, m = 32 - 8 = 24
⇒ m = 24
Hence, the number of points scored in the first half is 24 points.
The rectangular prism (the first one) represents a solid figure.
I hope this helps:)
Answer:
it means it volume is 1 cm ³
That's a quarter of the circle. So find the area of the circle, and divide by 4 to get the answer.
Circle area = 3.14*13^2 = 530.66
Answer = circle area / 4 = 132.665
