Answer:
For complex numbers,
a + bi and a - bi
they have the interesting property that if you add them you get the real number 2a
and if you multiply them , because of the difference of square pattern, you get a^2 - b^2 i^2
But since i^2 = -1, we end up with a real number as a product.
e.g. 6 - 5i and 6 + 5i are conjugates of each other
sum = 6-5i + 6+5i = 12
product = 36 - 25i^2
= 36 -(-25) = 61
Your question is even easier, since the denominator is a monomial instead of a binomial, so we just have to multiply by i/i
Also I believe, according to the answer, that you have a typo, and you meant
(-5+i)/(2i)
= (-5+i)/(2i) *i/i
= (-5i + i^2)/2i^2)
= (-5i +i^2)/-2
= (-5i - 1)/-2
= (1 + 5i)/2 or they way they have it: 1/2 + 5i/2
Answer:
Sum of interior angles = 720°
One interior angle = 120°
Step-by-step explanation:
Sum of interior angles = 180°(n-2)
Where n is the number of sides in a polygon
Therefore, one angle in a regular polygon will be (180°(n-2))÷n
Hence
Sum of interior angles= 180°(6-2)
= 720°
One interior angle = 720°÷6
= 120°
Answer:
63
Step-by-step explanation:
Answer:
The height of near by tree will be 90 feet.
Step-by-step explanation:
Considering the water triangle as shown in figure a.
As the old faithful shoots water 60 feet into the air that casts a shadow of 42 feet.
Considering the tree triangle as shown in figure a. The tree triangle has a shadow 63 feet long.
Let x be the height of near by tree that cost a shadow 63 feet long.
Assuming that the triangles are similar
So,
the ratios of similar triangles will be related as:
feet
Therefore, the height of near by tree will be 90 feet.
Keywords: ratio, similar triangle
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3/4 would be a fraction, equivalent to 6/8.
