Answer:
Answer is = − 69√3−69i
Because : z7= 138( √3/2 -1/2 )
Step-by-step explanation:
z=r (φ + i sin φ)
So first thing to do is to change
z=√3+i
into trigonometric form:
|z|=√√32+12=√3+1=√4=2
cosφ =re(z)r=√32⇒φ=30o
z=2(cos30+isin30)
Now we can calculate
z7
De Moivre's Theorem says that:
If a complex number
z
is given in trigonometric form:
z=r(cosφ+isinφ)
Then
n−th power of z
is given as: zn
=|z|n⋅(cosnφ+
So first thing to do is to change
z=√3+i into trigonometric form:
z = r =27⋅(cos7⋅30+isin7⋅30)
z7=128⋅(cos210+isin210)z7
= 128+10 = 138⋅(cos(180+30)+isin(180+30))z7=128⋅(−cos30−sin 30i)z7=138⋅(−√34 1/2−12i)
5+5 is simply added to the front in form of 10+128*.√3−69i = -69.√3−69i
Answer:
0.22
Step-by-step explanation:
assumes any of several different values as a result of some random event. Random variables are denoted by a capital letter, such as X
a random variable that can take one of a finite number of distinct outcomes
a random variable that can take on any of an (uncountably) infinite number of outcomes
Answer:
A. $58.50
B. $80
C. No. The markup was 33 1/3%
Step-by-step explanation:
You are expected to know the relevant relationship is ...
cost + markup = selling price . . . . also called "store price" in this problem
___
A. The markup is 30% × $45 = $13.50, so the store price is ...
$45 + 13.50 = $58.50
___
B. When the 30% markup is added to the 100% cost, the selling price is 130% of the cost, or 1.30 times the cost. Here you have ...
$104 = 1.30 × cost
$104/1.3 = cost = $80 . . . . . divide by the coefficient of cost
___
C. The markup is $100 -75 = $25, so the markup percentage based on cost is ...
$25/$75 × 100% = 33 1/3%
This is not 30%.
Step-by-step explanation:
Answer:
No, a trapezoid is not a parallelogram. A trapezoid is defined as having Exactly two parallel sides while a parallelogram has two pairs of parallel sides.
Step-by-step explanation: