Answer:
tan(θ) = 0, 0.577, -0.577
Step-by-step explanation:
3tan³(θ) - tan(θ) = 0
tan(θ)(3tan²(θ) - 1) = 0
tan(θ) = 0
tan²(θ) = ⅓ tan(θ) = +/- sqrt(⅓)
tan(θ) = 0, sqrt(⅓), -sqrt(⅓)
tan(θ) = 0, 0.577, -0.577
To find θ values, domain is required
Do you remember when you were learning about
Least Common Multiple (LCM) ? And you were
wondering what on Earth you would ever need it for ?
THIS IS IT !
The amount of time after 8 PM when the lights will flash
together again is the LCM of 20 seconds and 30 seconds.
Do you remember how to find it ?
... When 20 is prime-factored, you have 2 · 2 · 5 .
... When 30 is prime-factored, you have 2 · 3 · 5 .
... So the Least Common Multiple of 20 and 30 is 2 · 2 · 3 · 5 = 60 .
The lighthouses will flash together again in 60 seconds after 8 PM.
That'll be 8:01 PM.
Answer:
This would be the range, the interquartile range, the variance, and finally the standard deviation.
Step-by-step explanation:
Hope this helps you, please mark as brainlest.
Answer:
2304 quarts
Step-by-step explanation:
An ice cream factory makes 320 quarts of ice cream in 5 hours. How many quarts of ice cream could be made in 36 hours?
From the above question
5 hours = 320 quarts
36 hours = x quarts
Cross Multiply
5 hours × x quarts = 320 quarts × 36 hours
x quarts = 320 quarts × 36 hours/5 hours
x quarts = 2304 quarts
Therefore, 2304 quarts of ice cream could be made in 36 hours.