Please transform the polar equation to an equation in rectangular coordinates.

1 answer:

4 0

Rcsc(theta) = 3
r/sin(theta) = 3
r =3sin(theta)

Now use the relation between polar coordinates and rectangular coordinates

x = rcos(theta)
y = r sin(theta)

=> x = [3sin(theta)]cos(theta)
x = 3 sin(theta)cos(theta)

and y = [3sin(theta)]sin(theta)
y = 3 [sin(theta)]^2

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!!Please Help!! Find the value of z to the nearest tenth.

serg [7]

Answer:

x = 14 $\sqrt{2}$

y = 14

z= 14 $\sqrt{3}$

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14 $\sqrt{2}$

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14 $\sqrt{3}$ using either Pythagorean Theorem or special right triangle properties for 30-60-90.

7 0

3 years ago

What is 5^5 evaluated or to make it easier to understand if you don't know what 5^5 is then it means what is 5 to the power of 5

AnnZ [28]

Answer:

3125

Step-by-step explanation:

5 x 5 x 5 x 5 x 5

25 x 5 x 5 x 5

125 x 5 x 5

625 x 5

3125