We have
w = 60 (cos(1.7) + i sin(1.7)) = 60 exp(1.7i)
z = 71 (cos(4.4) + i sin(4.4)) = 71 exp(4.4i)
so then
wz = 60•71 exp(1.7i + 4.4i)
wz = 4260 exp(6.1i)
wz = 4260 (cos(6.1) + i sin(6.1))
circle the number sentences that are not true. a. 3/12 = 1/4 b. 1/2 = 5/10 c. 2/6 = 2/5 d. 7/10 = 4/6 e. 9/10 = 11/12
Answer:
c d e
Step-by-step explanation:
Answer:
A: True B:True C:False D:False E:False
Step-by-step explanation:
Find the equation of the circle that has a diameter with endpoints located at (-3, 6) and (9, 6).
Answer: [tex](x+3)^2+(y-6)^2 = 36\\\\[/tex]
==========================================================
Explanation:
If you apply the midpoint formula to the given points, you should find the midpoint is (3,6). This point represents the center of the circle. This means (h,k) = (3,6).
The radius is r = 6 because this is the distance from the center to either given endpoint. Either count out the spaces or use subtraction of the x coordinates. This works because the y coordinates are all the same.
Use those h, k and r values to plug them into the equation below
[tex](x-h)^2+(y-k)^2 = r^2\\\\(x-(-3))^2+(y-6)^2 = 6^2\\\\(x+3)^2+(y-6)^2 = 36\\\\[/tex]
which represents the equation of the circle we're after.
The graph is below.
IF YOU GUESS YOU WILL BE REPORTED, YOU MUST GIVE A REASONING FOR YOUR ANSWER//SHOW YOUR WORK/PROOF PLEASE!!
If you earn both hourly wages and a commission at your job, your gross wages, w, can be calculated with the following equation:
cs + rh = w
where c is your commission rate, s is your total sales in dollars, r is your hourly rate, and h is your hours worked.
Solve for s to rewrite the equation for total sales.
Question 1 options:
s = w + rhc
s = c(w + rh)
s = c(w − rh)
s = w − rhc
Applying the equation, it is found that the solution for s is given by:
[tex]s = \frac{w - rh}{c}[/tex]
The equation we are going to work in this problem is given by:
[tex]cs + rh = w[/tex]
We want to solve for s, hence, we have to isolate s, first placing rh on the other side with the inverse signal(subtraction).
[tex]cs = w - rh[/tex]
Division is the inverse of multiplication, thus, c is multiplying s, it goes to the other side dividing:
[tex]s = \frac{w - rh}{c}[/tex]
Which is the solution for s.
A similar problem is given at https://brainly.com/question/5123313
PLS HELP
Find the value of x in the triangle shown below
Answer:
62
Step-by-step explanation:
Answer:
x = 61.641°
Step-by-step explanation:
Hope it's help, study well and goodluck!!
Can you do the 4 and show your work if you can please ^^
Write the missing exponent
256 =
[tex] {?}^{4} [/tex]
Answer:
[tex]4^4[/tex]
Step-by-step explanation:
[tex]256\div4=64\div4=16\div4=4[/tex]
[tex]4\times4\times4\times4=256[/tex]
[tex]4^4=256[/tex]
Hope this helps.
Evaluate the expression when c= 6.
c²-50-5
Answer:
The answer is -19
Step-by-step explanation:
6^2-50-5
=6*6-50-5
=36-50-5
=-14-5
=-19
Answer:
-19
Step-by-step explanation:
[tex]c^{2} -50-5 = 6^{2} -50 -5 \\\\= 36 -50 - 5\\= -14 -5\\= -19[/tex]
Three apple pies, all the following shape, are left on a counter. How much total pie has been left?
PLEASE PLEADE HELP WILL GIVE BRAINLIEST PLZZZZZZ
fill in blank
Answer:
2
Step-by-step explanation:
x = -2 y = 2
x-y= 1/5 in slope intercept form
Answer:
y = x - 1/5
Step-by-step explanation:
x - y = 1/5
-y = -x + 1/5
y = x - 1/5
Answer:
Step-by-step explanation:
Y=-x-1/5
PLEASE HELP ME!!
5. Sandra's bank account has a balance of $(-53.90). To get back to a positive balance, she plans to
deposit money at a steady rate of $36.30 per week. How much will be in her account after 3 weeks?
Answer:
I think it's $109.17
Step-by-step explanation:
36.39 x 3 (weeks)
is 109.17
(02.06)The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you determine how many days are equal to 42 hours. TABLE
1 DAY
A: 1 And 1/4 24 HOURS
12 hours 12 hours
B:1 and 1/2
C:1 and 3/4
D:2 days
pllzzzz I NEED BRAINLIEST!!
Answer:
C:1 and 3/4
Step-by-step explanation:
We can use a ratio to solve
1 day x days
------- = -------------
24 hours 42 hours
Using cross products
1 * 42 = 24x
Divide each side by 24
42/24 = x
21/12 = x
7/4 = x
4/4 + 3/4 =x
1 3/4 =x
1 3/4 days = x
Find the value of F (-2) DUE TONIGHT WILL GIVE BRAINLIEST
PLEASE HELP!!!
how long does it take light from Proxima Centauri to reach Earth
Answer:
613 YEARS
Step-by-step explanation:
3a x 5b to the power of C Divided by D =2581
1968+613
Answer:
dprox = 1.295 parsecs× 206,000 AU 1 pc × 1.5 × 1011 meters 1 AU = 4.00×1016 meters . This length of time can also be written as 2.22 × 106 min, or as 37,100 hr, or as 1540 days, or as 4.23 years.
Step-by-step explanation:
hopefully this helps
Can someone tell me the answer for this please?
Every 10 nights, she knits 30cm of the scarf.
Take 30cm and divide it by 10 days and you will get 3cm per day
Calculate 0.82 + 0.35 and get the sum of the equation
1.17
because
1
0.82
0.35 +
---------
1.17
Evaluate and simplify the
expression when x=14 and y= 1/3.
2x
13 – 9y
Answer:
im gonna guess that the problem is 2x+13-9y, the answer is 38
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
C. x < 32
Step-by-step explanation:
Third option
What value is equivalent to 5 − 4(1 + 2^3)?
A) -511
B) -103
C) -31
D) 9
Answer:
C(-31)
Step-by-step explanation:
= 5 - 4(1 + 2^3)
= 5 - 4(1 + (2 . 2 . 2))
= 5 - 4(1 + (4 . 2))
= 5 - 4(1 + 8)
= 5 - 4(9)
= 5 - 36
= (-31)
OPTION C
_________
[tex] \: [/tex]
5 - 4(1 + 2³) = ?
= 5 - (4(1) + 4(2³))
= 5 - (4 + 4(8))
= 5 - (4 + 32)
= 5 - 36
= -31
Can u help with my homework
;-;
Answer:
id sa mp be para sure win ta
What are the coordinates of the intersection of the graphs of 3x - y^2 = 12 and y = -3
Answer:
(7,-3)
Step-by-step explanation:
y = -3
substitute in the first equation
3x - y^2 = 12
3x - (-3)^2 = 12
3x - 9 = 12
3x = 12 + 9
3x = 21
x = 7
coordinates of intersection (7,-3)
Find the area of the following shape. You must show all work
Figure ABCDEF is shown. A is located at 5, negative 8. B is located at 11, negative 8. C is located at 11, 0. D is located at 6
Answer:
51.5 unit²Step-by-step explanation:
Add two horizontal segments to divide the figure into three:
Extend ED and add segment from the point F to BC.Now we have two trapezoids and one triangle.
Area of triangle:
A = 1/2*(11 - 6)*(0 - (-3)) = 1/2(5)(3) = 7.5Area of trapezoids:
A = 1/2[(11 - 4 + 11)*(-3 - (-6)) + (11 - 5 + 11)*(-6 - (-8))] = 1/2(18*3 + 17*2) = 44Total area:
7.5 + 44 = 51.5how do you find the derivative
Answer:
h'(x) = -10x + 20
Step-by-step explanation:
To get the derivative of [tex]ax^{n}[/tex], simply use the following formula:
[tex]a(n)x^{n-1}[/tex]
We have the function, h(x) = -5x^2 + 20x
Using the formula, we get the derivative to be:
-10x + 20
so h'(x) = -10x + 20
6. Dashawn bought a CD that cost $18.99 and
paid $20.51, including tax. What was the percent
of tax he paid?
A. 5%
C. 3%
B. 2%
D. 8%
Answer:
b. 2%
Step-by-step explanation:
20.51/18.99
Answer:
First subtract 18.99 from 20.51
this equals 1.52
then divide 1.52 by 18.99
to find the percentage that 1.52 is of 18.99
this is 8%
Ryan wants to borrow a DVD from Zac so Ryan walks 12 blocks west to Zac's house, picks up the DVD, and
then walks 12 blocks back to his house, What was the total displacement Ryan traveled?
12 blocks west
24 blocks west
O blocks west
O 6 blocks west
Answer:
12 blocks west
Step-by-step explanation:
Okay so he walked 12 blocks west to Zac's house and then walked another 12 blocks back this means that he had to walk 12 blocks west to get to Zac's house
P.S. Sorry if it is wrong
Answer:
0 blocks west
Step-by-step explanation:
If you end at the same place you started just like on a racetrack one full lap. Walking 12 blocks west then 12 blocks east back to the house displacement is 0 because you are back where you started from.
plzz help me i really need it
Answer:
>
Step-by-step explanation:
since we know that w=4 then all we need to do if fill out the equation so we get 3*4^2+1 10*4+8 so then we just need to solve the equation
3*4^2+1 10*4+8
3*16+1 10*4+8
48+1 40+8
49 48
so since we know that 49 is bigger then 48 we have to put > to show that 49 is bigger or greater than 48
Find m Help me solve it please!!!!!!!!!!!!!
Answer:
56
Step-by-step explanation:
according to the sum of the exterior angles of a polygon, we get that the exterior angles of this polygon add up to 360
so our equation is: 9x-31+7x-2+4x+33=360,
the -31-2+33 cancel out,
and combining like terms gives us: 20x=360
so x=18,
from here we know that DCE equals to 180-7x+2, because it is an exterior angle, therefore the angle is 180-126+2, which is 56
If f(x) = 7x - 4 and f(x) = 17, find x.
f(x) = 17
7x-4 =17
7x=17+4
X=21/7
X=3
if a,b,c and d are in continuous proportion,prove that (a2+b2+c2) (b2+c2+d2)=(ab+bc+cd)2
Let –
a/b = b/c = c/d = k
Then –
a = bkb = ckc = dkL.H.S –
[tex]\qquad \longrightarrow {\purple{\underline{\underline{\pmb{\sf{ (a² + b² + c²) (b² + c² + d²)}}}}}}[/tex]
[tex]\qquad \sf\longrightarrow (b²k² + c²k² + d²k²) (c²k² + d²k² + d²)[/tex]
[tex]\qquad \sf\longrightarrow(c²k⁴ + c²k² + d²k²) (d²k²k² + d²k² + d²)[/tex]
[tex]\qquad \sf\longrightarrow (d²k⁶ + d²k⁴ + d²k²) (d²k⁴ + d²k² + d²)[/tex]
[tex]\qquad \sf\longrightarrow d²k²(k⁴ + k² + 1) d²(k⁴ + k² + 1)[/tex]
[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ d⁴k²(k⁴ + k² + 1)²}}}}}}[/tex]
R.H.S–[tex]\qquad \longrightarrow {\purple{\underline{\underline{\pmb{\sf{ (ab + bc + cd)²}}}}}}[/tex]
[tex]\qquad \sf\longrightarrow (bk.b + ck.c + dk.d)²[/tex]
[tex]\qquad \sf\longrightarrow (b²k + c²k + d²k)²[/tex]
[tex]\qquad \sf\longrightarrow (c²k²k + d²k²k + d²k)²[/tex]
[tex]\qquad \sf\longrightarrow (d²k²k² × k + d²k³ + d²k)²[/tex]
[tex]\qquad \sf\longrightarrow (d²k⁵ + d²k³ + d²k)²[/tex]
[tex]\qquad \sf\longrightarrow{d²k(k⁴ + k² + 1)}²[/tex]
[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ d⁴k²(k⁴ + k² + 1)²}}}}}}[/tex]
Henceforth –
L.H.S = R.H.S (Proved)▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
help me bro ion know how to do this junk
Answer:
The answer is
[tex] - \frac {7}{8} [/tex]
Answer:
-7/8
Step-by-step explanation:
