Answer:
z₁ × z₂ = 12·cis(2·π)
Step-by-step explanation:
z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)
We have;
z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))
z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))
According to De Moivre's Theorem,
z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))
∴ z₁ × z₂ = 12·cis(2·π)
could someone explain how to figure this out (marking brainliest to the most helpful answer) I will report fakes.
plssssss help me answer this quickly
Answer:
Step-by-step explanation:
Tuto
Combine any like terms in the expression. If there are no like terms, rewrite the expression.
8r + 9pg - pg - pq
Answer:
8r+8pg-pq
Step-by-step explanation:
The subtractable pg cancels out one of the 9 pg's. So 9 pg-1 pg= 8 pg
Hope this helps!
In the picture below, which lines are lines of symmetry for the figure?
A. 1 and 3
B. 2 and 4
C. 1, 2, and 3
D. none
Answer:
None
Step-by-step explanation:
No lines can be folded over to match up with the opposite side
Which points are possible approximations for this system? Select two options.
Step-by-step explanation:
second: (2.2,-1.4)
third: (2.2,-1.35)
Step-by-step explanation:
hope it helps✨
AYUDAAAAA
Un litro de leche de búfala equivale a 1.7 litros de leche de vaca. ¿si tengo
27 litros de leche de búfalo, a cuantos litros de leche de vaca equivaldría?
Answer:
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
Step-by-step explanation:
Sabiendo que un litro de leche de búfala equivale a 1.7 litros de leche de vaca, podemos calcular el equivalente de capacidad de la vaca para 27 litros de leche de búfala mediante Regla de Tres Simple:
[tex]x = 27\,L\times \frac{1.7\,L}{1\,L}[/tex]
[tex]x = 45.9\,L[/tex]
27 litros de leche de búfalo equivalen a 45.9 litros de leche de vaca.
what is the square root of 100
The square root of 100 is 10.
To check, solve 10 x 10.
Hope this helps! Please mark me as brainliest!
Have a great day!
Geometry, please answer question ASAP
Answer:
Triangle ACB =~ triangle DFE, by adding 6 units to each side of both triangles their relationship will not change. They are still similar.
Step-by-step explanation:
The answer isn't great in all honesty but it's been a long time since I took geometry and I don't 100% remember the proper way of stating it. Though I am 100% sure they stay similar.
Sorry couldn't be of more help but figured something was better then nothing
This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year?
if this value 35% less than the total, we conclude that:
42,900 = 65%
1% = 660
100% = 66,000
if you want to check the value, just do 65% of 66000, which equals to 42,900
hope it helps :)
Please help with this question
Answer:
-3.662rad × 180/π = -209.8°
Step-by-step explanation:
Answer:
1 degree = .01745329 radians
1 radian = 57.2957877856 degrees
-209.8 degrees = .01745329 * -209.8 =
-3.66170024200 radians
Step-by-step explanation:
help again geometry similarity transformations
1. 2
2. The X axis
3. 3 right and 1 up (3, 1)
Answer:
2 or A
x-axis or y = 0
I'm not sure the answer choices for the third one so I'm heading out.
Step-by-step explanation:
If your device is capable of taking screenshots from your laptop/desktop, then take a screenshot, like on Windows OS, it's Windows Key + Shift + S, and on Mac OS, it's Command + Control + Shift + 4, I think.
Taking a picture from a phone takes longer to upload and has bad quality since it's from a further distance and the individual pixels are more spread out.
Find the missing length the triangles are similar.
Answer:
Step-by-step explanation:
The missing length is 13 because,
Lets say the top triangle is A and the bottom triangle is B.
Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.
Answer: 13
Use what you know about sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
Answer:
x = 32 feet
Step-by-step explanation:
By applying tangent rule in ΔACD,
tan(40°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{AB+AC}{CD}[/tex]
= [tex]\frac{x+BC}{87}[/tex]
x + BC = 73 -----(1)
By applying tangent rule in ΔBCD,
tan(25°) = [tex]\frac{BC}{CD}[/tex]
= [tex]\frac{BC}{87}[/tex]
BC = 40.57
By substituting the value of BC in equation (1),
x + 40.57 = 73
x = 32.43
x ≈ 32 feet
The area under the standard normal curve to the right of z = -0.51 is 0.6950. What is the area to the left of z = 0.51?
Answer:
0.305
Step-by-step explanation:
We are told that area under the standard normal curve to the right of z = -0.51 is 0.6950
Thus, to get the area to the left, we just subtract 0.6950 from 1.
Thus;
area to the left of z = 0.51 is;
P( z < 0.51) = 1 - 0.6950 = 0.305
The number of bags of Brand Y dog food sold on these five days was 175. Which bar represents the data for Day 5 for Brand Y?
Answer:
30
Step-by-step explanation:
Helpppppppp pleaseeee
Answer:
5
Step-by-step explanation:
median means the number in the middle
Rearrange each of the following in slope/y-intercept form, y = mx + b.
a. 3x - 6y + 8 = 0 b. -2x - 5y - 2 = 0
Answer:
a.
[tex]{ \tt{3x - 6y + 8 = 0}} \\ { \tt{ 6y = 3x - 8}} \\ { \boxed{ \bf{y = \frac{1}{2} x - \frac{4}{3} }}}[/tex]
b.
[tex]{ \tt{ - 2x - 5y - 2 = 0}} \\ { \tt{5y = - 2x + 2}} \\ { \boxed{ \bf{y = - \frac{ 2}{5} x + \frac{2}{5} }}}[/tex]
Find the values of the missing sides. You must use exact answers! PLEASE HURRY AND HELP
Answer:
x=4sqrt3 a=4 b=3 ,y=8sqrt3 c=8 d=3
Step-by-step explanation:
because this is a 30-60-90 triangle, it is easy to find the side lengths. the longer leg is sqrt(3) times the shorter leg so x= 12/sqrt(3) or 4sqrt(3). the hypotenuse is 2 times the shorter leg so y= 8sqrt(3)
divide 5/6 and 1/12!!
Answer:
10/1
Step-by-step explanation:
5/6÷1/12
5/6×12/1 (do a inverse of 1 upon 12)
10/1
cancel 12 by 6
Two sides of a right triangle measure 5 inches and 6 nches, and the third side measures 61 inches.
The length of the third side is about
inches _ . The perimeter of the triangle is about
inches. __
Answer:
The length of the third side is 7.81 inches and the perimeter of the triangle is about 18.81 inches
Step-by-step explanation:
How long would it take the car to travel a distance of 2 meters at this average speed?
Answer:
1 hour
Step-by-step explanation:
2 ÷2=1 speed divide by distance
how many square metres of floor are there in a room of 6 metres
ig something like that
Answer:
36² metres
Step-by-step explanation:
I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6
ac circular runway has a radius of 100 m.Find the distance covered by a person in one complete rotation .
Answer:
628m
Step-by-step explanation:
Given radius=100m
distance=circumference
=2pie r
=2×22/7×100
=628m
please mark me brainliest
Write a verbal expression for (c-2)d
Answer:
the sum of c minus 2 multiplied by d ------> (c-2)d
Can someone help me on any of the problems that are circled
Rewrite
4/10 : 1/25 as a unit rate.
A: 10:1
B: 25:4
C: 2:125
D: 100:1
Answer:
4/10 : 1/25
4/10 / 1/25 = 4/10 x 25/1 = 100/10 = 10.
10 can also be written as 10:1, so A is correct.
Hope this helps!
The polygons in each pair are similar. find the missing side length
If polygons are similar ratio of sides will be same
[tex]\\ \sf\longmapsto \frac{6}{14} = \frac{3}{x} \\ \\ \sf\longmapsto 6x = 14 \times 3 \\ \\ \sf\longmapsto 6x = 42 \\ \\ \sf\longmapsto x = \frac{42}{6} \\ \\ \sf\longmapsto x = 7[/tex]
how many solutions does the equation below have? 3x-8=-2x+9/3
Answer:
1
Step-by-step explanation:
[tex]\\ \sf\longmapsto 3x-8=-2x+\dfrac{9}{3}[/tex]
[tex]\\ \sf\longmapsto 3x-8=-2x+3[/tex]
[tex]\\ \sf\longmapsto 3x+2x=3+8[/tex]
[tex]\\ \sf\longmapsto 5x=11[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{11}{5}[/tex]
Find the value of x
Answer:
C
Step-by-step explanation:
Using exterior angle property, we have 97+4x+7=17x+13. 13x=91, x=7
Ken needs a surgery on his foot. The estimated cost of the surgery is $5,000. The insurance policy provided by Ken's company has $500 deductible and 20% co-pay. How much will Ken have to pay for foot surgery?
9514 1404 393
Answer:
$1400
Step-by-step explanation:
Ken will be required to pay the deductible and 20% of the remaining amount.
Ken pays $500 + 0.20(5000 -500) = $500 +900
Ken pays $1400
