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Answer:
x = 8.69
Step-by-step explanation:
we know that the perimeter of the dodecagon is 54, so each edge will be 54/12
54/12 = 4.5 cm
if we draw the lines to remove 6 vertices and form a hexagon, 6 triangles with 2 sides of 4.5 cm are formed.
we know that the angle of each vertex is 150 ° because it is a dodecagon
if we apply the law of cosines we can take the other side of the triangle, since we only need 2 side and the opposite angle to the side we want to know
a would be our x
b = 4.5
c = 4.5
A = 150°
a^2 = b^2 + c^2 - 2bc * cos (A)
x^2 = 4.5^2 + 4.5^2 - 2 * 4.5 * 4.5 * cos (150)
x^2 = 20.25 + 20.25 - 40.50 * -0.866
x^2 = 40.50 + 35.07
x = √ 75.57
x = 8.69
The expression we have is:
And we are given some values for x and y:
The first step will be to substitute the given values into the expression:
The next step is to solve 4^2 which is equal to 16:
And then we solve the multiplications, 2(2)(4) is equal to 16 and (2)(16) is equal to 32:
Solving this final multiplication we get the result:
Answer: 512
What is the lower extreme and the upper extreme of the numbers 45, 51, 53, 55, 55, 65, 75, 81, 84, 87, 93, 93, 95, 96, 100
Greeley [361]
The lower extreme is the least value in the data set and the upper extreme is the greatest value. These two values can therefore be found directly from an ordered set of data.
Lower extreme is 45
Upper extreme is 100
Good luck
Answer:
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Step-by-step explanation:
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