The two pairs of polar coordinates for the given point (3, -3) with 0° ≤ θ < 360° are (3√2, 135°) and (3√2, 315°).
<h3>What is a polar coordinate?</h3>
A polar coordinate is a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).
Next, we would determine the distance (r) and angle (θ) as follows:
r = √(3² + (-3)²)
r = √(9 + 9)
r = 3√2.
θ = tan⁻¹(-3/3)
θ = tan⁻¹(-1)
θ = 3π and 7π/4 (second and fourth quadrants).
Converting to degrees, we have:
θ = 135° and 315°.
Read more on polar coordinates here: brainly.com/question/3875211
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Complete Question:
Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°
Answer:
Step-by-step explanation:
Unit rate per fluid ounce = $0.15
Step-by-step explanation:
Given that:
Cost of one quart bottle of juice = $4.80
We know that:
One quart = 32 ounces
Unit rate is the rate in which two quantities are compared and one of them is one.
Unit rate =
Unit rate = $0.15 per fluid ounce
Hence,
Unit rate per fluid ounce = $0.15
Answer:
<u>The probability that Deena will choose a pair of white socks is 4/10 or 40%</u>
Step-by-step explanation:
Let's check the information provided to us to answer the question correctly:
Total pairs or socks Deena has = 10
Pairs of white socks Deena has = 4
Pairs of black socks Deena has = 3
Pairs of red socks Deena has = 1
Pairs of navy socks Deena has = 2
If she pulls a pair of socks out of her drawer in the morning without looking, what is the probability that she will choose a pair of white socks?
Probability of Deena will choose a pair of white socks = Pairs of white socks Deena has/Total pairs or socks Deena has
Replacing with the real values, we have:
Probability of Deena will choose a pair of white socks = 4/10 or 40%
Answer:
First of all, this is a simple solution to the equation, by simplifying the equation to x greater than or equal to 12, so option A is in line with the meaning of the problem
Plug in 6 for x
2^2 - 7(6) - 6
4 - 42 - 6 = -44
