Answer:
we know that
the relationship between the 2-dimensional polar and Cartesian coordinates is
r = √(x² + y²)
Θ = tan⁻¹ (y/x)
so
Part a) (2, −2)---------> this point belong to the IV quadrant
r = √(x² + y²)------ r = √(2² + (-2)²)-----> r=√8
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (2/2)----> 45°
remember that the point belong to the IV quadrant
so
Θ=360-45-----> Θ=315°
the answer part A) is
(r,Θ)=(√8,315°)
Part b) (-1, 3)---------> this point belong to the II quadrant
r = √(x² + y²)------ r = √(-1² + (3)²)-----> r=√10
Θ = tan⁻¹ (y/x)---- Θ = tan⁻¹ (3/1)----> 71.57°
remember that the point belong to the II quadrant
so
Θ=180-71.57-----> Θ=108.43°
the answer part B) is
(r,Θ)=(√10,108.43°)
mark me branlest plz hope it helps
Answer: = x > $124.3
Step-by-step explanation:
Alicia's Paycheck = x
Took half money for dinner x/2
She spent $42.15 on dinner and she brought home more than $20.00
.x/2 - $42.15 > $20.00
=> x/2 > $62.15
=> x > $124.3
I hope that helps! Have a great day!!
The missing one on the top row is 28. The one missing on the bottom is 4
The answer is 5 13/15 or atleast according to calculator.net (the website used in the picture) :)
Answer:
180
Step-by-step explanation:
4 times 20 is 80, and 4 times 5 is 100, so add those together and that's the total number of coins
