All categories

3 years ago

Find the polar coordinates of the points with cartesian coordinates (−x, y).

1 answer:

4 0

The relationship to go from Cartesian coordinates to polar coordinates is given by the following equations:

x = r * cos(theta)
y = r * sin(theta)

Since the coordinates we are given are just variables that can take <em>any </em>value, we'll have to work with that. Thankfully, that means we can just plug in these equations to get polar coordinates!

(-x, y) becomes
(-(r * cos(theta)), r * sin(theta))

You might be interested in

What 6 ways can you write 835,000

igomit [66]

Here are the 6 ways to write 835 000
1st way = word form way
=> eight hundred thirty five thousands.
2nd way = place value form
=> 8 hundred thousand 3 ten thousand 5 thousand
3rd way = expanded form
=> 800 000 + 30 000 + 5 000
4th way = algebraic form
=> 835 000
5th way = numeric addition form
=> 800 000 + 35 000
6th way = fraction form
=> 835 000 / 1

8 0

3 years ago

In the previous problem, how does the angle of depression from the top of the taller building relate to the angle of elevation f

tia_tia [17]

The angles of elevation and depression are formed by the line of sight and the horizontal line. When the line of vision is above the horizontal line, the angle is of elevation, and if the line of sight is below the horizontal, the angle is of depression.

The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles. Then, if the angle of depression of the taller building is 15° the angle of elevation of the shorter building is 15° too. To understand this, you should see the diagram attached.

In the diagram you can notice that both angles, of elevation and depression, have the same value.

Then, the answer is: The angle of depresion from the top of the taller building and the angle of elevation from the top of the shorter building are alternate interior angles.

3 0

3 years ago

An apple grower finds that if he plants 80 trees per acre, each tree will yield 26 bushels of fruit. He estimates that for each

hammer [34]

Answer: The maximum revenue is $7482 . To get a maximum yield , The number of trees per acre needed is 43.

Step-by-step explanation:

Solution:

Let x represent the extra tree

So for an additional tree the yield of each tree will decrease by 4 bushels.

(80 +x)(26-4x) by expanding

2080 - 320x +26x -4x^2

Using x= -b/2a

X= 294/ -8

X= - 36.75

So apparently he currently has far too many trees per acre. To get the maximum yield , she needs to reduce the number of trees per acre by 36.75

So the number of trees per acre for maximum yield is

80-36.75

=43.25

Approximately x=43

So by reducing he get extra bushel in the tune of 174.

Total revenue= 174 ×43× 1$

=$7482

3 0

3 years ago

There were 7 inches of rain in 24 hours. What is the average amount of rain per hour

Mademuasel [1]

Answer:

7 /24 inch per hour

Step-by-step explanation:

To find the average amount of rain, take the total amount of rain and divide by the time

7 inches / 24 hours

7 /24 inch per hour

7 0

2 years ago

Can you simplify this?

Brilliant_brown [7]

144 - 12g^2.

Because we don't know the value of g, there's nothing else we can do.

8 0

3 years ago