Answer:
7 + 11i
Step-by-step explanation:
Simplify: (2 +8i)-(-5 - 3i) = 2 + 8i + 5 + 3i
Add real numbers to real numbers and imaginary to imaginary: 2 + 8i + 5 + 3i = 7 + 11i
A complex number can be shown as a pair of integers (a, b). The difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.
What is a complex number?A complex number can be shown as a pair of integers (a, b) forming a vector on an Argand diagram, which represents the complex plane.
The difference of the complex number can be done as following,
(2+8i)-(-5-3i)
= 2 + 8i + 5 + 3i
= 5+2 + 8i+3i
= 7 + 11i
Hence, the difference of the complex number (2 +8i)-(-5 - 3i) is 7+11i.
Learn more about Complex Number:
https://brainly.com/question/10251853
#SPJ2
36abc + 54ad = ? im struggling with math
Answer:
18a(2bc+3d)
Step-by-step explanation:
36abc + 54ad = ?
Rewrite as ;
=2*18abc+3*18ad
Factor out common term 18a
18a(2bc+3d)
I HOPE THIS HELPED!!!
During a basketball game, Bari scored 28 points. During the game, Danay scored ¼ of the number of points Bari scored. How many points did Denay score during the basketball game?
Para calcular isto, temos que dividir 28 por 4, que dá 7. Neste contexto, 7 é 1/4 de 28, o número de pontos marcad .
Resposta: Denay marcou 7 pontos durante o jogo.
factor: 18x²+39y-15=0
Answer: x = 6
y= 6x2/13 + 5/13
Step-by-step explanation: to solve for and y: Isolate the variable by dividing each side by factors that don't contain the variable
Proving That All Circles Are Similar give: cicrcle x with radius r and circile y with radius s prove: circle x is similar to circle y
Answer:
Two shapes are similar when they have the same shape while their sizes may be the same or different
Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor
All circles have the same shape and are defined by their center and radius
Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;
r × a = s
Where a = s/r, we get;
r × s/r = s
We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a
Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'
Step-by-step explanation:
Just did it! <3
Hope this helps!
A rectangle is 12 cm long and 8 cm broad.
The length and breadth of the rectangle are
both increased by the same amount, dcm.
If the area of the rectangle is now 221 cm,
find the value of d. with a digram
Answer:
17
Step-by-step explanation:
because 17 is the mulitple
Fill in the blank. Two chords that are the same distance from the center of a circle must be
A. perpendicular
B. parallel
C. radii
D. congruent
Answer:congruent
Step-by-step explanation:
Scott's window store made a mosaic for the community center. The mosaic had an 8 × 8 array of different color square tiles. If each tile is 2 2/3 ft long, what is the area of the whole mosaic?
Answer:
455.1111 feet²
Step-by-step explanation:
Given that :
Array of mosaic = 8 * 8 color square tiles
Length of each tile = 2 2/3 feets long
The length of mosaic = length per tile * Number of array :
2 2/3 feets * 8 = 21.3333 feets
This corresponds to the side length of the mosaic
The Area of the whole mosaic:
Using the area of square formula = s²
Where, s = side length
s = 21.33333 ft²
s² = 21.33333²
s² = 455.1111²
Preform the indicated operation. Be sure the answer is reduced.
Answer:
D. [tex]\frac{2x+1}{x-8}[/tex]
Step-by-step explanation:
[tex]\frac{x+1}{x-8} - \frac{x}{8-x} = \\\\\frac{x+1 + x}{x-8} = \\\\\frac{x+1}{x-8} +\frac{x}{x-8} =\\\\\frac{x+1+x}{x-8} =\\\\\frac{2x+1}{x-8}[/tex]
Correct choice is D
Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles
please help pt2 :]
Anju had 3 (3 / 4) cup of sugar . She used 1 (2 / 3 )cup of sugar to bake a cake . How mush sugar does anju have lift ?
Answer:
[tex]y=\frac{1}{12} cup\ of\ suger[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=3(3/4)=9/12[/tex]
Amount used [tex]x=1(2/3)=2/3[/tex]
Generally the equation for sugar lift [tex]y[/tex] is given as is mathematically given by
[tex]y=n-x[/tex]
[tex]y=\frac{9}{12} -\frac{2}{3}[/tex]
[tex]y=\frac{1}{12}[/tex]
PLEASE HELP WITH THIS IF I DONR GET IT RIGHT I WILL FAIL I WILL GIVE BRAINLIEST AND CORRECT ANSWE ONLY
Answer:
A= 21 m
Step-by-step explanation:
Is this right?
Any links get reported!
Answer:
yes
Step-by-step explanation:
12/99=121212, so yes
12/100= 0.12, nope
12/90=0.13131, nope
4/33=0.121212, so yes
3/25=0.12, nope
4/30=0.131313, so nope
in conclusion, you are correct
What is the likelihood that a point chosen inside the square will also be inside the circle ?It Chose one : A. is impossible ,B. it is unlikely, C it is likely D. it is certain
Answer:
C. It is likely
Step-by-step explanation:
Given
See attachment for diagram
For the square.
Let
[tex]Length = L[/tex]
So, the area is:
[tex]Area = Length^2[/tex]
[tex]A_1=L^2[/tex]
The side length of the square equals the diameter of the circle.
So:
[tex]diameter (d) = L[/tex]
The radius is:
[tex]r = \frac{1}{2}d[/tex]
[tex]r = \frac{1}{2}L[/tex]
The area is:
[tex]Area = \pi r^2[/tex]
[tex]A_2 = \pi * (\frac{1}{2}L)^2[/tex]
[tex]A_2 = \pi * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{7} * \frac{1}{4}L^2[/tex]
[tex]A_2 = \frac{22}{28} L^2[/tex]
The likelihood that a point will be common to the square and the circle is:
[tex]Pr = \frac{A_2}{A_1}[/tex]
[tex]Pr = \frac{\frac{22}{28} L^2}{L^2}[/tex]
[tex]Pr = \frac{22}{28}[/tex]
[tex]Pr = 78.57\%[/tex]
The above probability is greater than 50% but less than 100%.
Hence, it is likely
Answer:
C. Likely
Step-by-step explanation:
all the points are in the circle so it's likely to choose a point inside the circle
Find the area of a circle that has a diameter of 11 inches. Approximate r as 3.14. Round your answer to the nearest
hundredth.
חו
A=
in?
Answer:
94.985in^2
Step-by-step explanation:
Given data
Diameter= 11inches
Radius = 5.5 in i.e 11/2= 5.5inches
The Area of a circle is given as
Area= πr^2
Substitute
Area= 3.14*5.5^2
Area= 3.14*30.25
Area= 94.985 in^2
Hence the area is 94.985in^2
The answer is 94.985in^2
rounded to neaarest hundreth 94.99in^2
Reference angle of 2/15 pi
Answer:
Add
2
π
to
−
15
π
2
.
−
15
π
2
+
2
π
The resulting angle of
−
11
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
11
π
2
Add
2
π
to
−
11
π
2
.
−
11
π
2
+
2
π
The resulting angle of
−
7
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
7
π
2
Add
2
π
to
−
7
π
2
.
−
7
π
2
+
2
π
The resulting angle of
−
3
π
2
is coterminal with
−
15
π
2
but isn't positive. Repeat the step.
−
3
π
2
Add
2
π
to
−
3
π
2
.
−
3
π
2
+
2
π
The resulting angle of
π
2
is positive and coterminal with
−
15
π
2
.
π
2
Step-by-step explanation:
zorry if im wrong
im highly confused .. please help .. i will mark brainliest!
Answer:
22/7*1.5 square
=7.1 meter square
Answer:
Don’t Be Worried!
the formula Is A=πr2
The answer will be last option
Step-by-step explanation:
I hope you are staying safe!
The school buses at a middle school each hold 38 students. The school has, b, buses.
Write an equation that shows the total number of students, s, that can be carried by all of its buses.
Answer:
38bs
Step-by-step explanation:
multiply the number of students that each bus can hold by the no of buses 38s×b=38bs
Which of the following equations has the steepest slope?
a) y= 2/3 x+ 4
b) y = 2/5 x + 2
c) y = 3/2 x + 5
d) y = 1/2 x + 1
Determine whether the three side lengths form a triangle. 3,5,7
help me plssssssssssssss
Answer:
Step-by-step explanation:
Do you need help with all of the questions? Sorry I thought this was the comment box.
Jeans cost $38. The tax is 8% what is the total cost?
Reporting if wrong, please explain.’
Answer:
$41.04
Step-by-step explanation:
8% = 0.08
38(0.08) = 3.04
$3.04 is the tax for the jeans. Now we just have to add it to the price.
38 + 3.04 = $41.04
Answer:
$41.04
Step-by-step explanation:
0.08 (the tax converted from percentage) x 38 (initial cost) = 3.04(tax amount)
38(initial amount) + tax amount (3.04) = 41.04
the cost after tax is $41.04
understand now? To convert 8% to a decimal just move the decimal to the left twice (because we’re representing out of 100%)
Can somebody help meeeeeeeewe
Answer:
12.5
Step-by-step explanation:
43 ¾ ÷ 3½ = 12.5
glad to help
Pls help 10 points pls!
A kite was was broken into two triangles. What is the height, h, one of the triangles?
A) 4 ft
B) 8 ft
C) 7 ft
D) 14 ft
Answer:
4
Step-by-step explanation:
took test on edge :D
can somebody find the volume of the cone on #2?
thank you!!
Answer:
[tex] 4,220.16 \: {units}^{3} [/tex]
Step-by-step explanation:
Diameter of cone = 24 units
Radius of cone (r) = 24/2 = 12 units
Height of cone (h) = 28 units
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ 3} \times 3.14 \times {(12)}^{2} \times 28 \\ \\ = \frac{1}{3} \times 3.14 \times 144 \times 28 \\ \\ = 3.14 \times 1,344 \\ \\ = 4,220.16\: {units}^{3} [/tex]
(HELP MEH FOR BRAINLY! ITS ONLY MULTIPLE CHOICE YALL)
Answer:
option (1)
Step-by-step explanation:
f(x) - g(x)
= 5x² - 2x + 7 - (- 2x² + 6x + 3) ← distribute parenthesis
= 5x² - 2x + 7 + 2x² - 6x - 3 ← collect like terms
= 7x² - 8x + 4
HELPPPPP MEE ITS DUE TODAY pleasseee
I NEED HELP. What is the answer?
Answer:
B
Step-by-step explanation:
Here’s what B has:
Min: 24
Q1: 27
Median: 31
Q3: 33
Max: 34
Although Choice A and B were really close with their five number summaries, out of the two of them, only B had a maximum value of 34, like the one in the box plot shown above.
Ishmael's stock went up $17 on Thursday and then down $13 on Friday. What was the total change in the value of the stock?.
Answer:is that subtraction?
Step-by-step explanation:
Help please! All guesses get reported! Answer gets brainliest!
Answer:
A - 36 in.
b - 8
Step-by-step explanation:
A - You marked all of it right! 10 + 10 + 10 + 6
B - The teeth are only on half of the circle that hit the chain. 10 inches of chain for the big wheel, so 1/2 of 10 is 5. Same thing for the little wheel, 1/2 of 6 is 3, and 5+3 = 8, so about 8!