What are to numbers that multiply to make 18 but add up to negative 9
2 answers:
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Answer: 1) c 2) a 3) d
<u>Step-by-step explanation:</u>
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Reference angle is the angle measurement from the x-axis. <em>There is no such thing as a negative reference angle.</em>
-183° is 3° from the x-axis so the reference angle is
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Coterminal means the same angle location after one or more<em> </em>rotations either clockwise or counter-clockwise.
To find these angles, add <em>or subtract</em> 360° from the given angle to find one rotation, add <em>or subtract</em> 2(360°) from the given angle to find two rotations, etc.
To find ALL of the coterminals, add <em>or subtract</em> 360° as many times as the number of rotations. Rotations can only be integers. In other words, you can only have ± 1, 2, 3, ... rotations. You cannot have a fraction of a rotation.
Given: 203°
Coterminal angles: 203° ± k360°, k ∈ <em>I</em>
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Answer:
She can visit the cities in 192 ways
Step-by-step explanation:
If Sally starts from city A and after going to 4 cities she returns to home,
then that can be in 4! = 24 ways. (permutation of 4 distinct objects)
If between the time she visits cities, she comes home once,
then cities can be visited in,
= 72 ways. (permutation of 4 distinct objects and choosing 1 gap among the 3 )
If between the time she visits cities, she comes home twice,
then cities can be visited in,
=72 ways. (permutation of 4 distinct objects and finding 2 gaps among the 3)
If between the time she visits cities, she comes home thrice,
then cities can be visited in,
= 24 ways. (permutation of 4 distinct objects and choosing 3 gaps among the 3)
Now, she can't come home more than thrice in between the time she visits cities (since there are 4 cities to visit only)
So, the number of ways she can visit cities = (24+ 72 + 72 + 24)
= 192