Equivalent expression 7+3-2=
1 answer:
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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.
The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.
Step-by-step explanation:
The given is,
A circular gift has a 4.75 inch radius
Ribbon that costs $0.50 per inch
Step:1
Formula to calculate the perimeter of circle,
......................(1)
Where, r - Radius of circle
From the given,
r = 4.75 inches
Equation (1) becomes,
(∵
= 3.14)
Perimeter, P = 29.83 inches
Step:2
Cost for wrap the ribbon to around the circular gift,
= Perimeter of circular gift × ribbon cost per inch
= (29.83 × 0.50)
= $14.915
Cost for wrap the ribbon to around the circular gift = $14.915
Result:
The Alyssa will spend $14.915 for wrap a ribbon around the gift, if a ribbon costs $0.50 per inch.