Answer:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Step-by-step explanation:
Hello!
We need to determine two pairs of polar coordinates for the point (3, -3) with 0°≤ θ < 360°.
We know that the polar coordinate system is a two-dimensional coordinate. The two dimensions are:
- The radial coordinate which is often denoted by r.
- The angular coordinate by θ.
So we need to find r and θ. So we know that:
(1)
x = rcos(θ) (2)
x = rsin(θ) (3)
From the statement we know that (x, y) = (3, -3).
Using the equation (1) we find that:

Using the equations (2) and (3) we find that:
3 = rcos(θ)
-3 = rsin(θ)
Solving the system of equations:
θ= -45
Then:
r = 3\sqrt{2}[/tex]
θ= -45 or 315
Notice that there are two feasible angles, they both have a tangent of -1. The X will take the positive value, and Y the negative one.
So, the solution is:
(3 square root of 2 , 135°), (-3 square root of 2 , 315°)
Answer: Division Property of Equality
Answer:
Step-by-step explanation:
10+18+25+27+35+50=165
n=6
mean =165/6=27.5
x x- mean (x-mean)²
10 -17.5 306.25
18 -9.5 90.25
25 -2.5 6.25
27 -0.5 0.25
35 7.5 56.25
50 22.5 506.25
_____ ________
sum 0 965.5
_____ _________
standard deviation

Answer:
-1
Step-by-step explanation:
sub in the values of x, y and z into the equation
you get:
(-3)(-4)/(-2)(6)
= 12/-12
= -1
Answer:
Option C is correct
76 feet
Step-by-step explanation:
Area of square(A) is given by:

where, s is the side of the square.
As per the statement:
A square ceiling has an area of 360 square feet.
⇒A = 360 square feet.
then;

⇒
Perimeter(P) of square is given by:

then;

Therefore, 76 feet molding does he need.