Answer:
Step-by-step explanation:
Look at the picture.
ΔABC and ΔDBA are similar (AA). Therefore the sides are in proportion:
We have
Substitute:
<em>cross multiply</em>
Answer:
answer is
x1= 1/2 + 1/2 * i *sqrt(5)
x2= 1/2 - 1/2 * i *sqrt(5)
Step-by-step explanation:
Please refer to the attached picture for the procedure
Keep in mind, that the first step to use the quadratic formula is to rearrange the terms.
Answer: 7.22
(note: this is a result after rounding. The result before rounding was 7.21875)
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Explanation:
Given Set of Values = {22, 16, 39, 35, 19, 34, 20, 26}
Add up the values: 22+16+39+35+19+34+20+26 = 211
Divide that sum by 8 as there are 8 values: 211/8 = 26.375
The mean is 26.375
Now subtract the mean from each data value. Apply the absolute value to ensure the difference is never negative
|22 - 26.375| = 4.375
|16 - 26.375| = 10.375
|39 - 26.375| = 12.625
|35 - 26.375| = 8.625
|19 - 26.375| = 7.375
|34 - 26.375| = 7.625
|20 - 26.375| = 6.375
|26 - 26.375| = 0.375
Add up those results
4.375+10.375+12.625+8.625+7.375+7.625+6.375+0.375 = 57.75
Then divide by 8
57.75/8 = 7.21875
The mean absolute deviation of the prices is 7.21875
Rounded to two decimal places, it is 7.22
Since we're talking about money, it makes sense to round to the nearest penny.
Answer:
56/3 pi cm^3
Step-by-step explanation:
1/2 volume of sphere = 1/2 4/3 pi r^3
volume of cone 1/3 pi r^2 h
r =2 h = 10
result : 56/3 pi cm^3
