Answer:
Step-by-step explanation:
cot = cos / sin
tan = sin / cos
=> sin²A × cos²A/sin²A + cos²A × sin²A/cos²
=> cos²A + sin²A
=> 1
Step-by-step explanation:
The slope of a line connecting two points is:
m = (y₂ − y₁) / (x₂ − x₁)
The slope of line 1 is:
m = (4 − 0) / (7 − 1)
m = 2/3
The slope of line 2 is:
m = (6 − 0) / (3 − 7)
m = -3/2
Parallel lines have equal slopes.
Perpendicular lines have opposite inverse slopes.
2/3 and -3/2 are opposite inverses, so the lines are perpendicular.
Given a data set consisting of 33 unique whole number observations, its five-number summary is: [19,32,47,61,77] how many observations are strictly less than 32?
Solution: The five number summary denotes:
Minimum = 19
First Quartile = 32
Median = 47
Third Quartile = 61
Maximum = 77
Since there are an odd number of observations (33) in the data set, the First Quartile (32) must be at the (33+1)/4 = 8.5th position, meaning there are 7 numbers less than 32.
Therefore, there are 7 observations that are strictly less than 32
Answer:1.)-27
Step-by-step explanation:
Step-by-step explanation:
Put 1 on the far left and 4 on the far right.
Put. 2 the top and 3 at the bottom.
Put 5 in the centre.
There are 2 ways you can find to to make all the numbers add up to 5.
The number in the centre is the common anwser to the sums.
