How to change 12.13 inches into a mixed number?
2 answers:
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Answer:
116.62m
Step-by-step explanation:
We can draw a unit circle as:
The sine is the vertical leg (or vertical projection) of the triangle formed by the angle.
The cosine will be the horizontal leg (or horizontal projection) of this same triangle.
The hypotenuse of this triangle will be the radius if the unit circle (r = 1).
a) The sine will be increasing from θ = 0° until it reaches its maximum at 90°.
Then it will be decreasing for angles between 90° and 270°.
Between 270° and 0° it will be increasing again.
b) The cosine has a maximum value for an angle of 0°.
It will decrease until 180°.
Then it will be increasing from angles between 180° and 360°.
c) We can see in the unit circle that the sine is 0 when the angle is one the horizontal axis, like when θ = 0° or θ = 180°.
The cosine will be equal to 0 when the angle is vertical: θ = 90° and θ = 270°.
Answer:
a) Increasing: (0°, 90°) and (270°, 360°)
Decreasing: (90°, 270°)
b) Increasing: (180°, 360°)
Decreasing: (0°,180°).
c) Sin(θ) = 0 for θ = 0° and θ = 180°
Cos(θ) = 0 for θ = 90° and θ = 270°
Answer:
Diagonal Length = inches
Step-by-step explanation:
The suitcase is a rectangle with one side being 24 and another side being 8.
The diagonal is the line through the middle connecting two opposite corners.
If we draw the diagonal, it creates a triangle with one leg being 24 and another being 8.
The diagonal is the "hypotenuse" of the triangle.
Now, the pythagorean theorem:
leg^2 + another leg^2 = hypotenuse^2
So, we substitute the values known and find the hypotenuse (which is length of the diagonal). Shown below:
We have written the answer in exact form (with radical in simplified term).
We also use the radical property