The solution of
are 1 + 2i and 1 – 2i
<u>Solution:</u>
Given, equation is 
We have to find the roots of the given quadratic equation
Now, let us use the quadratic formula
--- (1)
<em><u>Let us determine the nature of roots:</u></em>
Here in
a = 1 ; b = -2 ; c = 5

Since
, the roots obtained will be complex conjugates.
Now plug in values in eqn 1, we get,

On solving we get,



we know that square root of -1 is "i" which is a complex number

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i
Answer:
h=6
Step-by-step explanation:
To find the volume of a right angle prism-
Find area of cross-section, in this case an isoscles triangle so we know that both of the parallel lines are 3ft
To find the area of the cross-section, do:
3 x 3 = 9
9 ÷ 2 = 4.5 (Area of cross-section)
Since we don't know the length of h, we need do:
27^3 ÷ 4.5 = 6
Therefore 6 is h
Hope I explained it okay:)
Common denominators of 9 and 3 are 9. 27
Common denominators of 9 and 2 are 18 36
Answer:
200%
Step-by-step explanation:
If $40 is 100% then multiply it by 3 to get $120
<span>Mean = 270
Standard deviation = 10
x = 255
Formula for z-score, z = (x - mean)/SD
z = (255 - 270) / 10
=> z = -15 / 10 => z = -1.5
So by referring to z-table, -1.5 correlates to 0.0668 that implies to 0.07
So 7% of the boxes of Apples weight less than 255oz.
The percentage of boxes is in the range of 255 oz and 270 oz,
Now calculating the requiring percentage 50% - 7% = 43%</span>