Answer:
1. i^20 X (2+i^22)
2. i² X (i¹¹-1) X (i²² + i¹¹ + 1) X (i^66 + i³³ + 1)
Step-by-step explanation:
1) 2i^20 + i^42
factor out i^20
i^20 X (2 + i^22)
2) i^101 - i²
i²X(i^99-1)
i²X(i³³-1)X(i^66+i³³+1)
Using a³-b³=(a-b)(a²+ab+b²)
i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)
i²X(i¹¹-1)X(i²²+i¹¹+1)X(i^66+i³³+1)
I almost gave up typing. Quite stressful, but its fine
A window in the shape of a parallelogram has the dimensions given.
What is the area of this window?
20 ft²
24 ft²
28 ft²
40 ft²
i'll give brainlyist
Answer:
The answer is c, 28 ft! brainliest pls lol
Answer:
20ft
Step-by-step explanation:
I did the quiz and got it right :> (K12)
Find the value of x
I tried to solve, but ny answer did not make any sense do Im not sure how to ;-; Some help would be lovely :)
Answer:
x = 25
Step-by-step explanation:
A quadrilateral is inscribed in a circle, so it is a cyclic Quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
3x + 21y = 180°.....(1)
2x + 26y = 180°.....(2)
From equations (1) & (2)
3x + 21 y = 2x + 26y
3x - 2y = 26y - 21y
x = 5y
y = 1/5 x
Plug y = 1/5 x in equation (1)
3x + 21*1/5x = 180
15x + 21x = 180*5
(Multiplying both sides by 5)
36x = 900
x = 900/36
x = 25
four billion, five hundred and seventy million. write this number in figures
Answer:
4,575,000,000
Step-by-step explanation:
Answer:
It's 4,570,000,000.
Step-by-step explanation:
The first guy had a typo right after the 7.
a pair of boots were $45 they were on sale for $38.25 what percent were they off
Answer:
15% off
Step-by-step explanation:
Answer:
17.2% off
Step-by-step explanation:
45/100 = 0.45
0.45 x 38.25 = 17.2%
Which point is a solution to ys 3x – 4?
Answer:(3,1)
Step-by-step explanation:
URGENT HELPPP !!!!!! Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!
Answer:
(8,-3)
Step-by-step explanation:
I just added 1 to the x value and added 2 to the y value because that was the difference between point A and the midpoint of the segment.
Hope this helps!
will mark brainliest need help with DBA If you had a cube with a side length of 4, how can your write the calculations in exponential form?
4^3
you can write it like 4 × 4 × 4
you can also call it "Four to the Third power".
Write an equation of the line with a slope of 3 and a y-intercept of 4
Answer:
y = 3x+4
Step-by-step explanation:
Hope this helps!
Answer:
y=3x+4
Step-by-step explanation:
y=mx+b
m is the slope
b is the y-intercept
y=3x+4
given the following in a right triangle the hypotenuse is 200 cm and one of the legs is 45cm what is the lenght of the other leg
A: 194.9 cm
B: 12.4 cm
C: 155 cm
D: 245 cm
Step-by-step explanation:
Hence the length of other side is 194.87 I.e.194.9 cm
Which of the following does not have any dimension?
Question 7 options:
A)
Line
B)
Ray
C)
Line segment
D)
Point
Answer:
D
A point has a dimension of 0.
Hope this helped!
Find the volume of the figure. Round to the
nearest tenth.
1,286.1 units
401.9 units
5,144.6 units
128.6 units
Answer:
1,286.1 units is the answer
Step-by-step explanation:
your answer may vary depending on what you use for pie, using a calculator with pie on it gave me approx. 1286.79635
volume formula: V=πr^2h
so π*6.4^2*h
π*40.96*10
3.14*409.6
1,286.144
round
1,286.1
please help me asap!!!!
I can't see them clearly....
Help needed on this question
what is the area of the composite figure
Answer:
132cm
Step-by-step explanation:
A pair of Descartes jeans costs $120. If the tax is 13%, how much does the pair of jeans cost including tax?
Answer:
$135.60
Step-by-step explanation:
120*13%=15.6
15.60+120.00=$135.60
HELP ME ASAP
In the following diagram overline DE || overline FG and overline KL perp FG. What is the measure of angle x?
Angle x = _____°
Given:
DE||FG and KL is perpendicular to FG.
To find:
The measure of angle x.
Solution:
If two lies intersect each other, then vertical opposite angles are equal.
[tex]m\angle ACB=63^\circ [/tex] (Vertically opposite angles)
[tex]m\angle BAC=x^\circ [/tex] (Vertically opposite angles)
KL is perpendicular to FG.
[tex]m\angle ABC=90^\circ[/tex]
According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.
In triangle ABC,
[tex]m\angle ABC+m\angle BAC+m\angle ACB=180^\circ[/tex]
[tex]90^\circ+x^\circ+63^\circ=180^\circ[/tex]
[tex]x^\circ+153^\circ=180^\circ[/tex]
[tex]x^\circ=180^\circ-153^\circ[/tex]
[tex]x^\circ=27^\circ[/tex]
Therefore, the measure of angle x is 27 degrees.
what fraction repsents 0.64
Answer:
64/100 = 16/25
Answer:
0.64 in fraction
= 64/100 = 16/25
because each decimal equal to one zero
hope it helps
Write the equation of the line in fully simplified slope-intercept form?
Answer:
ok
Step-by-step explanation:
Answer:
y=-1/2x-1
Step-by-step explanation:
PLEASE HELP ME ASAPPPP
Answer:
The answer is
90 degrees the first one is I don't know about the rest sorry
Step-by-step explanation:
a) 10 - 3(2a + 3) + 4(a - 6)
Simplify
Answer:
-2a - 23
Step-by-step explanation:
10 - 3(2a+3) + 4(a-6)
10-6a-9 + 4(a-6)
10-6a-9 + 4a - 24
-23-6a+4a
-23-2a
Therefore, -2a - 23 is the answer
roberto earns $5 per hour plus 65% commision on all his sales. if y represents his sales for one day, which expression represents robertos total earnings for a day when he worked 6 hours?
edit: 5(6)+.65*y
original was wrong I wasn't thinking
17x(8-5)x5 plz help me by solving this plz
Answer:
255
Step-by-step explanation:
so you first do the bracket so 8- 5 = 3
then 17 × 3 =51
and 51× 5 = 255
Which of the following is a solution of x^2+6x=-18
We are provided with a quadratic equation , and we have to find it's roots , but let's recall some things
The Standard Form of a quadratic equation is ax² + bx + c = 0 If D > 0 , then the equation have two real and distinct roots/zeroes . If D = 0 , then the equation have two equal roots/zeroes .If D < 0 , then the equation have two imaginary roots/zeroes or you can say that no real rootsWhere , D is the Discriminant whose value is b²- 4ac and the roots of the equation are given by a very famous formula called The Quadratic Formula , which is as follows ;
[tex]{\quad {\boxed{\pmb{\bf x = \dfrac{-b \pm \sqrt{D}}{2a}}}}}[/tex]
Now , coming back on the question ;
We are provided with the equation x² + 6x = -18 , so on comparing this equation with the standard form of quadratic equation , we have , a = 1 , b = 6 and c = 18 . Now calculating the Discriminant ;
[tex]{: \implies \quad \sf D=(6)^{2}-4\times 1 \times 18}[/tex]
[tex]{: \implies \quad \sf D=36-72}[/tex]
[tex]{: \implies \quad \sf D=-18}[/tex]
As , D < 0 , so two imaginary roots exist . Now by quadratic formula ;
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{-36}}{2\times 1}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm \sqrt{\underline{6\times 6}\times -1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\sqrt{-1}}{2}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{-6 \pm 6\iota}{2} \quad \{\because \sqrt{-1}=\iota\}}[/tex]
[tex]{: \implies \quad \sf x=\dfrac{2(-3\pm 3\iota)}{2}}[/tex]
[tex]{\quad \qquad \boxed{\bf \therefore \: x=-3 \pm 3\iota}}[/tex]
hello pls help besties (o˘◡˘o)
if a = 5, what is the value of a-3?
Answer:
2
Step-by-step explanation:
5-3=2
Answer:
2
Step-by-step explanation:
5 - 3 = 2
Anyone knows this one ?
Answer:
looks like it might be 4 but I'm not a 100% sure
3. Reason quantitatively. A figure has vertices P(-3, 1), Q(9, 1), R(3, —7), and S(-9, -7).
a. What is the most specific name that can be given to PQRS? Explain how you know.
b. Find PQ, QR, RS, and SP.
c. What is the perimeter of quadrilateral PQRS?
d. What is the area of quadrilateral PQRS?
0.5(12n – 8) = 26
show your work
Answer:
n=5
Step-by-step explanation:
divide by 0.5
6n-4=26
(add 4 to both sides)
6n=30
Divide both sides by 6
n=5
i’ll give brainliest please help!!!
Answer: The third one.
Step-by-step explanation: The hottest time of the day is around 3 p.m. Heat continues building up after noon, when the sun is highest in the sky, as long as more heat is arriving at the earth than leaving.
Answer: All of them
Step-by-step explanation: I think zll of them
circus has 20 performers, of which 6 are dancers.
What is the probability that a randomly selected performer will be a dancer?
Write your answer as a fraction or whole number.
Answer: 1/4
Step-by-step explanation: