Step-by-step explanation:
The cosine function, along with sine and tangent, is one of the three most common trigonometric functions. In any right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H). In a formula, it is written simply as 'cos'.
In any right angled triangle, for any angle:
The sine of the angle = the length of the opposite side
the length of the hypotenuse
The cosine of the angle = the length of the adjacent side
the length of the hypotenuse
The tangent of the angle = the length of the opposite side
the length of the adjacent side
So in shorthand notation:
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa
The answer is
7.9306Using the formula in the attached:
Where: xi = sample value; μ = sample mean; n = sample size
1.) Calculate the mean first:
μ = 12.0 + 18.3 + 29.6 + 14.3 + 27.8 / 5
= 102 / 5
μ = 20.4
2.) Using the mean, calculate (xi - μ)² for each value:
(12.0 - 20.4)² = 70.56
(18.3 - 20.4)² = 4.41
(29.6 - 20.4)² = 84.64
(14.3 - 20.4)² = 37.21
(27.8 - 20.4)² = 54.76
3.) Sum the squared differences and divide by n - 1.
μ = 70.56 + 4.41 + 84.64 + 37.21 + 54.76
= 251.58 / 5-1
μ =
62.895 (this is now called sample variance)
4.) Get the square root of the sample variance:
√62.895 =
7.9306
By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is
<h3>What is
sequence ?</h3>
Sequence is collection of numbers with some pattern .
Given sequence

We can see that

and

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2
Now
term of this Geometric progression can be written as

So summation of 15 terms can be written as

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is
To learn more about Geometric progression visit : brainly.com/question/14320920
Answer:
52.40
Step-by-step explanation:
Discussion
Suppose the meal starts out as x.
She pays 5% of x as a sales tax
So that brings the total up to 100% + 5% = 105%
Before paying, she pays 20% on x as her tip. The tax does not touch the tip.
So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.
So 125% of x = 65.50 change the % to a fraction
125/100 * x = 65.50 Multiply both sides by 100/125
125/100 * 100/125x = 100/125 * 65.50
x = 100/125 * 65.50 Multiply by 100
x = 6550 / 125 Divide by 125
Check
Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62
Tip = 20%*52.40 = 20/100 * 52.40=10.48
Meal = 52.40
Total 65.50 Just as it should