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Eva8 [605]
4 years ago
6

Solve the equation!3 tan^3θ = tan θ

Mathematics
1 answer:
andreev551 [17]4 years ago
8 0
3 tan³ t(theta) = tan t(theta)
3 tan³ t - tan t = 0
tan t ( 3 tan² t - 1 ) = 0
tan t = 0
t 1 = k π ,  k ∈ Z
3 tan ² t - 1 = 0
3 tan ² t = 1
tan ² t = 1/3
tan t = +/- √3/3
t 2 = π / 6 + k π
t 3 = - π / 6 + k π ,  k ∈ Z
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Find the 91st term of the arithmetic sequence 5, -14, -33, ...
bonufazy [111]

Answer:

-54

Step-by-step explanation:

it is -54  because you must subtract 19 every time.

7 0
4 years ago
Jonah’s dog walking service went so well that he decided to do it again the following summer. This summer, however, Jonah will o
SOVA2 [1]

Answer:

The correct options are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but  keep the same rate of $3 per dog

Step-by-step explanation:

The parameters given are;

Jonah is hoping to earn $200 from 8 weeks of dog walking

Therefore, Jonah has to make $200/8 per week or $25 per week

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

With the above strategy, Jonah will make $5 × 5 = $25 per week which will amount to $25 × 8 = $200 in 8 weeks total

2) Walking 5 dogs per week at $4 per dog = $20 per week and 8 × $20 = $160 in 8 weeks

3) Walking 8 dogs per week at $3 per dog = $24 per week and 8×$24 = $192 in 8 weeks

4) Double the amount of dogs walked per week to 5×2 or 10 dogs per week but keep the same rate of $3 per dog would give him 10 × $3 = $30 per week and 8 × $30 = $240 in 8 weeks

5) Double the amount of dogs walked per week to 5×2 or 10 dogs per week and cut his rate to $2 per dog would give him 10 × $2 = $20 per week and 8 × $20 = $160 in 8 weeks

Therefore, the strategies that would allow Jonah to reach his $200 goal in 8 weeks are;

1) Continue walking 5 dogs per week, but increase his rate to $5 per dog

4) Double the amount of dogs walked per week but  keep the same rate of $3 per dog.

7 0
4 years ago
Define: probability sample a) every possible sample of a given size has the same chance to be selected. b) the explanatory varia
Svetllana [295]

Answer:

c) gives each member of the population a known chance to be selected

Step-by-step explanation:

A sample is said to be  a probability sample when each and every unit of the population would have the known chance or the probability i.e. more than zero when selected in the sample

So according to the given options, it is the sample where each member have the known chance to be selected

Therefore the option c is correct

4 0
3 years ago
Hello please help i’ll give brainliest if you give a correct answer
vodomira [7]

Answer:

D. The equator would become warmer, while the poles become colder

Step-by-step explanation:

So the reason in this is actually due to the fact that the ocean currents bring heat from the equator. A study was actually done a bit ago that stated that “Europe would drop 5 to 10 degrees Celcius.“

Source for quote:

https://scied.ucar.edu/learning-zone/climate-change-impacts/melting-arctic-sea-ice-and-ocean-currents

Also this is more of a science question in my opinion LOL.  

6 0
3 years ago
Lines AB and EB share a common point at B therefore we say that these lines
Brut [27]
2 lines in a plane can have these positions:

i) they can be parallel, if they share no common point.

ii) are intersecting, if they have one common point.

ii) they are coincident if they have 2 common points.


AB and EB share 1 common point, B, therefore they are Coincident.

8 0
4 years ago
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