Answer:
1.) 6√13/13
2.) 4√13/13
3.) 3
Step-by-step explanation:
given that cot(x) = 2/3
But cot(x) = 1/tan(x)
Substitutes 1/tan(x) for cot(x)
1/tan(x) = 2/3
Reciprocate both sides
Tan(x) = 3/2 = opposite/adjacent
Use pythagorean theorem to find the hypothenus.
Hypothenus = sqrt ( 3^2 + 2^2 )
Hypothenus = sqrt ( 9 + 4 )
Hypothenus = sqrt (13)
Hypothenus = √13
1.) Sin(x) = opposite/hypothenus = 3/√13
Rationalise
3/√13 × √13/√13
3√13/13
Sin(2x) = 2 × 3√13/13
Sin(2x) = 6√13/13
2.) Cos( x ) = adjacent/hypothenus
Cos (x) = 2/√13
Rationalise
2/√13 × √13 /√13
2√13/13
Cos(2x) = 2 × 2√13/13
Cos(2x) = 4√13/13
3.) Tan (x) = 3/2
tan (2x) = 2 × 3/2
Tan(2x) = 3
Answer:
Some texts are missing from the question, I found a possible match, and here it is:
A particular country has total of 45 states. If the areas of 35 states are added and the sum is divided by 35, the result is 135,600 square kilometres. Determine whether this result is a statistic or a parameter.
Answer:
The result is a statistic because the data involved are samples.
Step-by-step explanation:
A Parameter is a numerical representation of an entire population. That is they are numbers summarizing data for an entire population. In this case, if all the 45 states were measured, the result would have been a parameter.
On the other hand, statistics are numbers that are subsets (representative portions) of an entire population. Since 35 states were chosen out of 45 states, the average area of the 35 states is a statistic and not a parameter.
Answer: Except (4) but see detail below
Precisely speaking, 
Looking over the choices, only 72/88 = 9/11 is precisely "equivalent" so all of (1), (2), and (4) would be EXCEPT.
But because K12 teachers' language may sometimes be sloppy, "equivalent" may also mean "approximate." If that is the case (I let you make the call if the premise is true): the following are definitely not 9/11:
1.22 (is greater than 1)
It could also be that the original question had the "overline" mark to mean "periodic" over the 81 parts, like this:
which then means they are equivalent, leaving truly only 1.22 is the one non-match
Answer:
Volume
Step-by-step explanation:
This would be volume as gallons is the measurement of how much liquid there is in a container.
This would be volume.
