To answer this question you should know what to do to change the polar coordinates to rectangular ones: x = rcos (θ)
y = rsen (θ)
So for r = -2 and θ = 2π we have
x = -2cos (2π)
x = -2
y = -2sen (2π)
y = 0
Finally the equivalent point in Cartesian coordinates is the point:
(-2 0)
The correct answer is option B
Answer:
Step-by-step explanation:
Here we are given two coordinates and we are required to fin d the distance between them not by using the distance formula but by using Pythagoras theorem.
Let us see how we do that.
We will take the help of graph in this. We draw a line parallel to x axis passing through H (-2,-3) and a vertical line passing through I(3,2)
Let us assume that these two lines intersect at point J whose coordinates will be (-3,-3)
Now using scale of the graph we can see that Distance HJ = 5 units and IJ= 5 units and ΔHIJ makes and Right angle triangle where ∠IJH = 90°
Hence we can apply Pythagoras theorem in this.
Please refer to graph in attachment for further clarification.
Answer:
Question 1:
(12*12)+(6*12)=216 ft^2
Question 2
0.15*216 = 32.4
$34.40
Step-by-step explanation:
We have been given that a set of average city temperatures in May are normally distributed with a mean of 20.66°C and a standard deviation of 2 C. The average temperature of Singapore is 26°C. We are asked to find the proportion of average city temperatures that are lower than that of Singapore.
First of all, we will find z-score corresponding to sample score of 26.
, where,
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Now we need to find probability of a z-score less than 2.67 that is .
Using normal distribution table, we will get:
Upon rounding to 4 decimal places, we will get:
Therefore, approximately of average city temperatures are lower than that of Singapore.