Answer:
Step-by-step explanation:
In the question, we're given 
. Therefore, the measure of these two angles must be equal.
To find the value of 
, set these two angles equal to each other:
Add 26 and subtract from both sides:
Divide both sides by 3:
Since 
was labelled as 
, substitute 
to find its measure:
You can also substitute into the label of angle D as angle A is congruent to angle D for easier calculations (
).
Answer:
Cos(2115°) =1/√2
Sin(2115°) = -1/√2
Step-by-step explanation:
We have to find the values of Cos (2115°) and Sin (2115°).
Now, 2115° can be written as (23×90°+ 45°).
Therefore, the angle 2115° lies in the 4th quadrant where Cos values are positive and Sin values are negative.
Hence, Cos (2115°) = Cos(23×90° +45°) =Sin 45° {Since 23 is an odd number, so the CosФ sign will be changed to SinФ} =1/√2 (Answer)
Again, Sin (2115°) = Sin(23×90° +45°) = -Cos 45° {Since 23 is an odd number, so the SinФ sign will be changed to CosФ} = -1/√2 (Answer)
Now, the required reference angle is 45°. (Answer)
Answer:
The following display from a TI-84 Plus calculator presents a 99% confidence interval for a proportion.Fill in the blanks:
We are ____99%____ confident that the population mean is between ___0.385631____ and ___0.780609____.
c) 99%, 0.385631, 0.780609
Step-by-step explanation:
This is the only correct option, given the relevant population mean range. Option B is not correct as the population mean cannot range between 0 and 0.583120 as given by the option. Options 'a' and 'd' are not relevant to the question because they have 1% confidence level, instead of the stated 99% confidence level.
