Answer:
x=2
Step-by-step explanation:
Since the base angles are the same, the side lengths are the same, making this an isosceles triangle
7(x+2) = 4(9-x)
Distribute
7x+14 = 36 -4x
Add 4x to each side
7x+4x +14 = 36 -4x+4x
11x +14 = 36
Subtract 14 to each side
11x+14-14 = 36-14
11x = 22
Divide by 11
11x/11 =22/11
x=2
Answer:
years worked: 14
at least 10 years: 73%
Step-by-step explanation:
The mean is found by adding the years of service and dividing by the number of employees. The total years of service is 417, so the average is ...
average years worked = 417/30 = 13.9 ≈ 14 . . . years
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The percentage of employees that have worked there at least 10 years is found by counting the number with 10 or more years of service and dividing that count by the total number of employees. The result is then expressed as a percentage.
(10 years or over)/(total number) = 22/30 = 0.73_3 (a repeating decimal) ≈ 73%
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Comment on the working
A spreadsheet can be helpful for this. It has a function that can calculate the mean for you. Sorting the years of service into order can make it trivially easy to count the number that are 10 or more, or you can write a function that will do the count for you. (Also, less than 10 means the years are a single digit. There are 8 single-digit numbers in your list.) The hard part is copying 30 numbers without error.
Should be C
because 1/2u = (-0.5, 2)
so its (-0.5,2)-(3,-2)
which is
-0.5 - 3 = -3.5
2 - - 2 = 4
Answer:
10.4 to nearest tenth.
Step-by-step explanation:
If we draw lines from the centre of the circle to each vertex of the hexagon we get 6 equilateral triangles of side length 2.
Altitude of each triangle = sqrt(2^2 - 1^2)
= sqrt3.
So the area of 1 triangle = 1/2 * 2 * sqrt3
= sqrt3
Therefore the area of the hexagon = 6 * sqrt3
= 6sqrt3
= 10.3923
Answer:
I believe it would 24..
Step-by-step explanation: