Michelle went on a hike she started at 6:45am and returned at 3:28pm. How long did she hike
2 answers:
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The exact measure of the angle is 45°.
<h3>How to get the angle?</h3>
We know that the terminal side passes through a point of the form (√2/2, y).
Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:
We know that y is positive because the point is on the first quadrant.
Now, we know that our point is:
(√2/2, 1/√2)
And we can rewrite:
√2/2 = 1/√2
So the point is:
( 1/√2, 1/√2)
Finally, remember that a point (x, y), the angle that represents it is given by:
θ = Atan(y/x).
Then in this case, we have:
θ = Atan(1/√2/1/√2) = Atan(1) = 45°
If you want to learn more about angles, you can read:
Answer:
136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the number of general admission tickets purchased.
y is the number of reserved tickets purchased.
There were 436 tickets purchased for a major league baseball game.
This means that , or also,
The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00.
This means that . Since
And:
136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.
Answer:
The first three nonzero terms in the Maclaurin series is
Step-by-step explanation:
GIven that:
The Maclaurin series of cos x can be expressed as :
From equation(1), substituting x with (4x), Then:
The first three terms of cos (4x) is:
Multiplying equation (2) with (3); we have :
Finally , multiplying 5 with ; we have:
The first three nonzero terms in the Maclaurin series is