Hello!
The easiest way to solve for the value of both angles is to reduce the given angle to an acute angle.
Given that both of the angles are located in the second quadrant (90° < x < 180°), we use these reduction formulas: sin(180° - x) = sin x, and cos(180° - x) = -cos x, when x is equal to 150°.
Notice that cos is negative while sin is positive. In the first quadrant, sine is always positive and while in the fourth quadrant, cosine is always positive while sine is not.
sin(180° - 150) = sin 30 = 1/2 (using the unit circle)
cos(180° - 150) = -cos 30 = -√3/2 (using the unit circle)
<u>Final answers</u>:
- sin 150° = 1/2
- cos 150° =
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The length and width of the new deck in terms of x x are (x + 2) feet and (x + 1) feet respectively.
Step-by-step explanation:
Step 1:
The side length of the original deck in the shape of a square was x feet.
Since it was a square, all the sides would measure x feet.
Now, the square deck is converted into a rectangular deck.
Step 2:
The side length of the original deck was x feet. 1 foot of deck is added to the side length and it is made into the width of the rectangular deck.
So the width of the new deck is (x + 1) feet.
The side length of the original deck was x feet. 2 feet of deck is added to the side length and it is made into the length of the rectangular deck.
So the length of the new deck is (x + 2) feet.
So the length of the new deck is (x + 2) feet and its width is (x + 1) feet.
They are 2,225 years apart
Answer:
Yes
Step-by-step explanation:
If you divide their time by 100 you will get the amount of time it takes the student to run 1 meter.
Ex. Time is 20 seconds.
20/100
0.2 meters/second
Answer:
Y axis is correct :))
Step-by-step explanation: