Hello!
<h3><u><em>Answer</em></u></h3>
The mean of the numbers shown in the table is C. 50.5
<h3>__________________________________________________</h3><h3><em><u>Explanation</u></em></h3>
To calculate the mean, simply add up all the numbers and divide by the amount of numbers there are in the list.
18 + 55 + 101 + 96 + 55 + 18 + 22 + 23 + 22 + 57 + 88 = 555
There are 11 numbers in the table, so we divide by that.
555 / 11 = 50.45...
Finally, round to the nearest tenth: 50.5
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Answer:
Period: 
Step-by-step explanation:
The function
has a period of
, therefore
has a period of
, where the wave cycle of the function repeats every
units. See the attached graph for a visual.
Answer:
74.31353
=74 m
Step-by-step explanation:
given that three locations are marked next to a river. Points B and C are on the same side of the river, and point A is on the other side of the river. To find the distance AB across a river, a distance BC of 241 meters is laid off on one side of the river. It is found that the angle at point B is 108.6° and the angle at point C is 14.9°.
we have information about triangle ABC as side BC =241, Angle B = 108.6 and angle C = 14.9 degrees.
Hence this is an obtuse scalene triangle.
Angle ∠A = 56.5° (III angle)
Using sine formula we get

So distance AB is 74 metres.
It wont be a perfect number
Equation 1) x + 6y = 2
Equation 2) 5x + 4y = 36
Multiply all of equation 1 by 5.
1) 5(x + 6y = 2)
Simplify.
1) 5x + 30y = 10
2) 5x + 4y = 36
Subtract equations from one another.
26y = -26
Divide both sides by 26.
y = -1
Plug in -1 for y in the first equation.
x + 6y = 2
x + 6(-1) = 2
Simplify.
x - 6 = 2
Add 6 to both sides.
x = 8
D : (8, -1)
~Hope I helped!~