First way
arcsin(1/4) means that 1/4 sin of the angle.
sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4
<span>Second way
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sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4
For one value of sinα, possible 2 values of cosα.
The value of x is 125 degrees from the given diagram
<h3>Lines and angle</h3>
Find the diagram attached
From the diagram, we can see that line l is parallel to line m, hence we can conclude that:
x = 125 degrees (The angles are corresponding angles)
Hence the value of x is 125 degrees from the given diagram
Learn more on line geometry here: brainly.com/question/1655368
There are 19 people total, and groups of four are being asked of us. We can use the formula for permutations or combinations.
Permutations:
Combinations:
Where in both scenarios, there are <em>n</em> objects being chosen at <em>r</em> times.
19 P 4 is 93024
19 C 4 is 3876
It all depends on whether order matters with group placement; if it does, your answer is
93024, if not, then your answer is
3876.:)
Answer:
Vincent’s proportion is incorrect. His corresponding parts are not in the same position. The heights and bases are in different positions.
Step-by-step explanation:
I got it right on my assignment