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°)
500 (non smokers)÷ 25(random students out of the group)= 20 inches.
20 inches ÷ 74 inches= 3.70
Answer:2.8 feet
Step-by-step explanation:
length(l)=?
breadth(b)= 1.9 feet
perimeter(p)=7.4 feet
we know,
p=2(l+b)
7.4=2(l+1.9)
7.4=2l+3.8
2l=7.4-3.8 (changing side and bringing 3.8 to 7.4 it gets -3.8)
l=3.6/2
l=2.8 feet
Hence,length is 2.8 feet
The answer is 27 (hope this helps you)
Answer:
235
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 9*12.5=112.5
rec 2: (13.5-5.5)*(19.5-9-7)=28
rec 3:7*13.5=94.5
Then:
112.5+28+94.5=235