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:
(D) The volume of Model A and B combined is 88 cubic centimeters.
Step-by-step explanation:
Volume of Model A
= 6 x 4 x 2
= 48 cm³
Volume of Model B
= 5 x 2 x 4
= 40 cm³
Volume of Model A and B
= 48 + 40
= 88 cm³
It would be 2800*0.04*4. Your final answer will be $448
Answer:
3x=43
x=43÷3
x=14.35(appro)
Step-by-step explanation:
First divide 3 by 43
THEN you will find the Answer
Rewrite the equation into slope intercept form:
8y = -5x+16
divide everything by 8 to get just y
y = -5/8x+2
the slope = -5/8