Write a mixed number and an improper fraction for the model below
1 answer:
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Answer:
The answer to your question is 4.5
Step-by-step explanation:
Data
hypotenuse = h = 6
angle = α = 42°
adjacent side = DE
Process
Use trigonometric functions to solve this problem
1.- The trigonometric function that relates the adjacent side and the hypotenuse is cosine
Cosα =
Solve for adjacent side = DE
DE = hypotenuse x cos α
Substitution
DE = 6 x cos 42
Simplification
DE = 6(0.74)
Result
DE = 4.5
Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
The sum of the first n terms of an arithmetic sequence is given by:
In this question:
We want the sum of the first 37 terms, so we have to find
Then
The sum of the first 37 terms of the arithmetic sequence is 2997.