Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number. I like writing polar coordinates with a P in front to remind me.
It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.
P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )
P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )
That's true since when we add pi to an angle it negates both the sine and the cosine,
cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)
sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)
Answer: TRUE
Answer:
Solve for x = all values of x are solutions
or
0
Step-by-step explanation:
Simplify the following:
(-2 (x + 5))/3 + 4 (x + 5) - (10 (x + 5))/3
Put each term in (-2 (x + 5))/3 + 4 (x + 5) - (10 (x + 5))/3 over the common denominator 3: (-2 (x + 5))/3 + 4 (x + 5) - (10 (x + 5))/3 = (-2 (x + 5))/3 + (12 (x + 5))/3 - (10 (x + 5))/3:
(-2 (x + 5))/3 + (12 (x + 5))/3 - (10 (x + 5))/3
(-2 (x + 5))/3 + (12 (x + 5))/3 - (10 (x + 5))/3 = (-2 (x + 5) + 12 (x + 5) - 10 (x + 5))/3:
(-2 (x + 5) + 12 (x + 5) - 10 (x + 5))/3
(12 (x + 5) - 10 (x + 5)) - 2 (x + 5) = 0:
0/3
0/3 = 0:
Answer: 0
Answer:
HK = 20
Step-by-step explanation:
LM = (1/2) HK {Mid point theorem}
2*(10x - 90) = 10x - 80
2*10x - 2*90 = 10x - 80
20x - 180 = 10x - 80 {add 180 to both sides}
20x = 10x - 80 + 180
20x = 10x +100 {Subtract 10x from both sides from }
20x -10x = 100
10x = 100
x = 100/10
x = 10
HK = 10x - 80
= 10*10 - 80
= 100 - 80
= 20
Using sampling concepts, it is found that she could use systematic sampling, asking one out of every 10 students for example, as long as it involves students of all possible groups.
<h3>How are samples classified?</h3>
Samples may be classified as:
- Convenient: Drawn from a conveniently available pool.
- Random: All the options into a hat and drawn some of them.
- Systematic: Every kth element is taken.
- Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
- Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.
In this problem, the most viable type is a systematic sample, asking one out of every 10 students for example, as long as it involves students of all possible groups.
More can be learned about sampling concepts at brainly.com/question/25122507