A. Re(z)= 32 and Im(z)= 41.9
The real part of a complex number z=a+bi is ‘a’, and the imaginary part is ‘b’
Answer:
Step-by-step explanation:
The third side could have dimension x
32 - 27 < x < 32 + 27
5 < x < 59
There are a few special triangles
Equilateral triangle could have legs
27, 32, <u>27</u>
or
32, 27,<u> 32</u>
A right triangle could have the third side
√(27² + 32²) = <u>√1753</u> which is about<u> 41.87</u>
or
√(32² - 27²) = <u>√295</u> which is about <u>17.18</u>
Notice all these fit within the original limits specified.
We know that the measure of arc AC = 92 degrees, and x and y are both inscribed angles of this arc, which means that they will have 1/2 of its measure.
Therefore, x = 1/2 (92) = 46 degrees and y = 1/2 (92) = 46 degrees
x = 46, y = 46 is your answer, or the first option
The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used.
That is,
T = 6 quarts + 10 quarts = 16 quarts
The total volume of the resulting mixture is 16.
Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.
6(0.52) + 10(0.32) = 16(x)
The value of x from the equation is 0.395.
Therefore, the answer to this item is 39.5%.
<span>There are 8 pints in 1 gallon, so 3 pints is 3/8 of a gallon </span>
