A storage company must design a large rectangular container with a square base. The volume is 6750ft3. The material for the top
1 answer:
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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:
X =
Step-by-step explanation:
2 (4-8x) + 6 = 1
Multiply parentheses by 2
8 - 16x + 6 = 1
add (8 + 6)
14 - 16x = 1
Move constant to right and change its sign
-16x = 1 -14
Calcualte te difference
-16x = -13
divide bot sides by -16
x =
Answer:
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
so
The distance is equal to multiply the speed by the time
we have
Convert mixed number to an improper fraction
substitute
Convert to mixed number