9514 1404 393
Answer:
149.04°
Step-by-step explanation:
You must consider the signs of the components of the vector. The value -5+3i will be in the 2nd quadrant of the complex plane.
When you use the single-argument arctan function, it will tell you the angle is -30.96°, a 4th-quadrant angle. (arctan( ) is only capable of giving you 1st- or 4th-quadrant angles.)
You find the 2nd-quadrant angle by adding 180° to this value:
-30.96° +180° = 149.04° = arg(-5+3i)
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The attachments show the calculation using a suitable calculator (1st) and a spreadsheet (2nd). The spreadsheet function ATAN2(x,y) gives the 4-quadrant angle in radians, considering the signs of the two arguments. Here, we converted it to degrees. The calculator can be set to either degrees or radians.
Answer:
The answer to your question is Circumference = 81.64 ft
Step-by-step explanation:
Data
Area of a circle = 530.66 ft²
Circumference = ?
π = 3.14
Process
1.- Calculate the radius of the circle
Area = πr²
-Solve for r²
r² = Area / π
-Substitution
r² = 530.66 / 3.14
-Simplification
r² = 169
-result
r = 13 ft
2.- Calculate the Circumference
Circumference = 2πr
-Substitution
Circumference = 2(3.14)(13)
-Result
Circumference = 81.64 ft
Answer:
105
Step-by-step explanation:
they are supplementary
Answer:
4/5 or 0.8
Step-by-step explanation:
1/3x = 5/12
<em>cross</em><em> </em><em>multiply</em>
(12×1) = (5×3x)
<em>divide</em><em> </em><em>through</em> <em>by</em> <em>1</em><em>5</em>
x = 12/15
x = 4/5 <em>o</em><em>r</em><em> </em>0.8
Answer: 2
Step-by-step explanation:
Remember PEMDAS!
20 - 3^2 x 2
20 - 9 x 2
20 - 18
2
hope this helps :)
