3∅ can be rewritten as (2∅+∅)
sin(3∅) = sin(2∅ + ∅<span>)
Opening brackets on the right hand side;
= sin2</span>∅ cos ∅ + cos2∅sin<span>∅
</span><span>This simplifies to;
= 2sin</span>∅cos^2∅ + sin∅ (1- 2sin^2∅<span>)
= sin</span>∅ (2cos^2∅ + 1 - 2sin^2∅<span>)
= sin</span>∅ (2(1 - sin^2∅) +1-2sin^2∅<span>)
= 3sin</span>∅ - 4sin^3<span>∅</span>
The mean absolute deviation is 10.52.
<h3>What is the mean absolute deviation?</h3>
The mean absolute deviation of a dataset is the average distance between each data point and the mean. It is a measure of variation of a data set.
MAD =1/n ∑ l x - m(x) l
Where:
n = total numbers in the data set
x = number
m(x) - median
The first step is to determine the mean of the data set: (42 + 31 + 1 + 1 + 2 4+ 5 + 6 + 7 + 3) / 10 = 10.2
Find the absolute value of the difference between the number and the mean. Add the result | (42 - 10.2) + (31 - 10.2) + (1 _ 10.2) + (1 - 10.2) + (2 - 10.2) + (4 - 10.2) + (5 - 10.2) + (6 - 10.2) + (7 - 10.2) + (3 - 10.2) = 105.2
Divide the sum by the total number in the dataset = 105.2 / 10 = 10.52
To learn more about mean absolute deviation, please check: brainly.com/question/27365177
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Answer:
FRACTION FORM P=3/4
DECIMAL FORM P=0.75
Step-by-step explanation:
1)Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
2) simplify 21/20
3) 3 21
(— • (p + 1)) - —— = 0
5 20
4) 3 • (p + 1) 21
——————————— - —— = 0
5 20
5)calculate the least common multiple
6)left denominator is 5
7) right denominator is 20
8)so lcm is 20
9)calculate multipliers for both fractions
10) rewrite both into equivalent fractions
11) then multiply the numerator of each fraction
12)Add the two equivalent fractions which now have a common denominator
13)pull out the like factors
14)get rid of the denominator
15)the 20 cancels out on the left side
16)Add 3 to both sides of the equation :
4p = 3
17)Divide both sides of the equation by 4:
p = 3/4 = 0.750
HOPE THIS HELPS!!
Answer:
True, we use Pythagorean Theorem to verify if three sides form a triangle
Answer:
17.66
Step-by-step explanation:
3x=53
Divide both sides by 3
x=17.66
