Answer:
How to Round to the Nearest Feet (Step-by-Step)?
First and foremost, identify the given feet number.
Now, look at the digit that we have to round off which is the first digit after the decimal point.
If that value is between 0 to 4, then leave the digit we care for and trim all digits to the right.
Step-by-step explanation:
Answer:
-8x^2 -4x
Step-by-step explanation:
f(x) = –4x – 2
g(x) = 2x
(f · g)(x) = (-4x-2) * (2x)
distribute
= -2x*4x -2x*2
= -8x^2 -4x
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°.
The sum of interior angles of a triangle is 180 degrees. If we’re trying to find the triangles last angle on the right, we will subtract 180-60-50 which equals 70. The angle missing on the right side is 70 degrees. There are opposite angles in this shape so the other angle beside a would also be 70 degrees. Now we only have a left and you do the same thing with the sum of interior angles with that triangle. So you do 180-70-65 and you’re left with 45. Therefore, a is 45 degrees.
Step-by-step explanation:
