Write <em>z</em> in polar form:
<em>z</em> = 1 + √3 <em>i</em> = 2 exp(<em>i</em> <em>π</em>/3)
Taking the square root gives two possible complex numbers,
√<em>z</em> = √2 exp(<em>i</em> (<em>π</em>/3 + 2<em>kπ</em>)/2)
with <em>k</em> = 0 and <em>k</em> = 1, so that
√<em>z</em> = √2 exp(<em>i</em> <em>π</em>/6) = √(3/2) + √(1/2) <em>i</em>
and
√<em>z</em> = √2 exp(<em>i</em> 7<em>π</em>/6) = -√(3/2) - √(1/2) <em>i</em>
Answer:
The measure of angle C = 92°
Step-by-step explanation:
The sum of opposite angles of cyclic quadrilateral is 180°
From the figure we can see that,quadrilateral ABCD is inscribed in a circle.
<u>To find the value of x</u>
m<B + m<D = 180°
(x + 10 ) + ( x + 24 ) = 180
x + 10 + x + 24 = 180
2x + 34 = 180
2x = 180 - 34 = 146
x = 146/2 = 73
<u>To find the measure of <A</u>
m<A = x + 15
x = 73
m<A = 73 + 15 = 88°
<u>To find the measure of <C</u>
m<C + m<A = 180°
m<C + 88 = 180
m<C = 180 - 88 = 92°
Therefore the measure of angle C = 92°
Answer: 320 students
Step-by-step explanation:
From the question, we are informed that a school counselor surveyed 90 randomly selected students about thé langages they speak and thé students surveyed 16 speak more than one langage fluently. This means that 16/90 speak more than one language.
When 1800 students are surveyed, the number of students that can be expected to speak more than one langage fluently will be:
= 16/90 × 1800
= 16 × 20
= 320 students
Answer:
x=2
y=1
Step-by-step explanation:
-6x+12=0
take 12 to the other side &it becomes negated then equate
-6x=-12
the negatives cancel out each other and therefore the answer is positive
x=2
4y+5=9
take 5 over to the other side &it becomes negated
4y=9-5
4y=4
y=1
Mean: average of the numbers median: middle of the numbers mode: which number appears the most
