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°)
The gcf of the numbers are 15
You can use the formula for conditional probability as Puzzling did. However in this problem it is easier just to restrict yourself and enumerate the cases that are left.
<span>There are 4 jacks. One of them is a heart. So the probability is 1/4. </span>
<span>If you want to look at what the formula for conditional probability does, it adjusts your probability by restricting the "universe". </span>
<span>P(heart and jack)/P(jack) </span>
<span>= (1/52)/(4/52) = 1/4</span>
Answer:
Step-by-step explanation:
This is a proportion problem. I think you just lost a zero.
12/100 = 9/x Cross multiply
12x = 100*9 Combine the right.
12x = 900 Divide by 12
12x/12 = 900/12
x = 75 grams
So if you put 75 grams of tasty Oats in a bowl and covered it with milk the cereal would give you 9 grams of Protein.
2.
1 gram of Tasty Oats cereal contains 12/100 = 0.12 grams of protein.
1 gram of Cornbits contains 5/45 = 0.11 grams of protein.
By the narrowest of margins the Tasty Oats has more protein in it.
It is 10 to 1 significant figures
