Answer:
104.1
Step-by-step explanation:
Use SOH CAH TOA.
Sine = Opposite / Hypotenuse
Cosine = Adjacent / Hypotenuse
Tangent = Opposite / Adjacent
In this case, the hypotenuse is x, and the side opposite of the 22° angle is 39. Since we have opposite and hypotenuse, we need to use sine.
sin 22° = 39 / x
x sin 22° = 39
x = 39 / sin 22°
x ≈ 104.1
The missing dataset is 81 at the 4th position.
We have the following data set -
82, 87, 77, 70, 80, 88
whose Median is - 81
We have to find out the missing data in this dataset.
If a set consist of odd number of elements, then the median of that set of numbers is the is the element at the position .
Let the missing element be x. Now, the data set becomes -
82, 87, 77, 70, 80, 88, x
To total number of elements in the dataset = 7, which is a odd number.
The element at the position for odd number of elements equals to Median which is equal to 81.
Hence, the missing dataset is 81 at the position - = 4th position.
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Center at (4, 1), radius = 6
The equation of circle can be given as :
(x-h)² +(y-k)²=r²
where (h,k) is center of circle and r is radius
the center is at (4,1) and radius =6
so equation becomes,
(x-4)² +(y-1)²=6²
(x-4)² +(y-1)²=36 is the equation of circle