Answer:
6 different wallpapers
Step-by-step explanation:
Given
[tex]Colours = 27[/tex]
[tex]Textures = 14[/tex]
[tex]Total = 2268[/tex]
Required
Determine the number of different wallpapers he can choose from
From the question, he can choose 1 from 27 colors;
The number of ways is:
[tex]Colours = ^{27}C_1 = \frac{27!}{(27 - 1)!*1!} = \frac{27!}{26!*1!} = = \frac{27*26!}{26!*1} = 27[/tex]
From the question, he can choose 1 from 14 textures;
The number of ways is:
[tex]Textures = ^{14}C_1 = \frac{14!}{(14 - 1)!*1!} = \frac{14!}{13!*1!} = \frac{14*13!}{13!*1} = 14[/tex]
Assume the total number of wallpapers is x and he can only select 1.
The number of ways of selection is:
[tex]Wallpapers = ^{x}C_1 = \frac{x!}{(x - 1)!*1!} = \frac{x* (x - 1)!}{(x - 1)!*1!} = x[/tex]
So, the total selection is:
[tex]Colours * Textures * Wallpapers = Total[/tex]
[tex]27 * 14* x= 2268[/tex]
[tex]378* x= 2268[/tex]
Divide both sides by 378
[tex]\frac{378* x}{378}= \frac{2268}{378}[/tex]
[tex]x= \frac{2268}{378}[/tex]
[tex]x= 6[/tex]
Hence, the number of different wallpaper is 6
What is the polar form of 7 StartRoot 3 EndRoot minus 7 i?
In polar form the expression is ( 14 , 30 )
How the rectangular form is converted to Polar form ?To convert the expression x +iy to polar form ( r , [tex]\rm \theta[/tex] ) , the standard equations used are
r = [tex]\rm \sqrt {x^2 + y^2}[/tex]
tan [tex]\rm \theta[/tex] = y/x
The given expression is
7 √3 - 7i
x = 7 √3
y = -7
r = [tex]\rm \sqrt {(7\sqrt{3})^2 +(-7)^2}[/tex]
r = √196
r = 14
tan [tex]\rm \theta[/tex] = (-7)/(7√3)
[tex]\rm \theta[/tex] = 30 degree
Therefore in polar form the expression is ( 14 , 30 ).
To know more about Conversion into Polar form
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Answer:The polar form of 7 StartRoot 3 EndRoot minus 7 i is 14(cos(330o) + i sin(330o))
Step-by-step explanation:
Your school's FFA chapter is selling candy bars to raise money. A regular sized chocolate bar (x) sell for $2 and King sized chocolate bar (y) sell for $3. They want to make more than $35.
They can sell at most 15 candy bars
Select all points that are solutions to this system of inequalities
A) (2,12)
B) (10,5)
C) (6,8)
D) (14,2)
E) (8,4)
F) (12,12)
G) (4,10
Given the triangle information below solve for the x value and the measure in degrees of angle a
HELPPP I WILL MARK BRAINLIEST
Answer:
D
Step-by-step explanation:
Answer:
D m-2
Step-by-step explanation:
Because you can see that input is m and the answer is the output
35-2=33
36-2=34
hope this helps!
pls brainliest
What is the perimeter of the composite figure?
A. 119.5 cm
B. 85 cm
C. 107.5 cm
D. 97 cm
responda a expressão 5x+6y+x+2:
[tex]\tt{}5x + 6y + x + 2[/tex]
[tex]\tt{}6x + 6y + 2[/tex]
[tex]\tt{}2(3x + 3y + 1)[/tex]
Noah was doing some homework and answered the following questions:
5.5. -3/5=3.3
a) Do you agree with his answers? If you disagree, explain your reasoning.
Answer:
yes you are correct as 3/5 = 0.6 and 0.6*5.5 = 3.3
What is the image of (4,−8) after a dilation by a scale factor of 1/4 centered at the origin?
Answer:
(1,-2)
Step-by-step explanation:
you just have to multiply the coordinates by 1/4
4x1/4=1
-8x1/4=-2
so the new coordinates are (1,-2)
The image of the given point is (1,-2).
Important information:
The coordinates of the point are (4,-8).Point is dilated by a scale factor of [tex]\dfrac{1}{4}[/tex] centered at the origin.Dilation:If a point is dilated by a scale factor of [tex]k[/tex] centered at the origin, then the rule of dilation is defined as:
[tex](x,y)\to (kx,ky)[/tex]
Using the above rule, we get
[tex](4,-8)\to \left(\dfrac{1}{4}(4),\dfrac{1}{4}(-8)\right)[/tex]
[tex](4,-8)\to \left(1,-2\right)[/tex]
Therefore, the image of the given point is (1,-2).
Find out more about 'Dilation' here:
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Factor.
22 - 10z+16
Show your work
Answer:
2(19-5z)
Step-by-step explanation:
Factor out 2
Consider 11-5z+8. Multiply and combine like terms.
Rewrite the complete factored expression.
every rational numbers is a ________
Answer:
Number that can be definitely defined, like 3.75, not 3.777....
Hope that helps!
Step-by-step explanation:
How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?
Answer:
x = -2
Step-by-step explanation:
Arrange 6x + y= -5, -6x + 12y=96 vertically:
6x + y= -5
-6x + 12y=96 Now combine like terms:
--------------------
13y = 91
Solving for y by dividing both sides by 13: y = 7
Find x by substituting 7 for y in the second equation: -6x + 12(7) = 96
Then -6x = -84 + 96, or:
-6x = 12, and so x = -2
The blue dot is at what value on the number line?
The blue dot is at what value on the number line? PLEASE HELP!
Answer:
-3
Step-by-step explanation:
Answer:
I think it is 0
Step-by-step explanation:
the 9 goes down by 3 so maybe each point goes down 3
PLEASEE HELPP
3. Evaluate the following equation for x. 2 X = -20 5
Answer:
x=50
Step-by-step explanation:
Answer:
2x°=-205
x=-205/2=-102.5
Can someone please help me with this
Answer:
Step-by-step explanation:
1. Not a function. Fails the vertical line test.
2. It is a quadratic function.
3. It is a linear function.
4. Not a function. Two of the points have the same x-coordinate but different y-coordinates.
What is the area of a square with side lengths of 3/5 units?
What is the side length of a square with area 1/16 square units?
What is the volume of a cube with edge lengths of 2/3 units?
What is the edge length of a cube with volume 27/64 cubic units?
Answer: 1/6
Step-by-step explanation:
Maria was approved for a 10-year, Federal Unsubsidized student loan in the
amount of $17,700 at a rate of 3.9%. Loan repayment will begin after 4.5
years.
Answer:
3796.65
Step-by-step explanation:
I = $ 3,106.35
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 3.9%/100 = 0.039 per year,
then, solving our equation
I = 17700 × 0.039 × 4.5 = 3106.35
I = $ 3,106.35
The simple interest accumulated
on a principal of $ 17,700.00
at a rate of 3.9% per year
for 4.5 years is $ 3,106.35.
$ 6,903.00 - 3,106.35 = 3796.65
tan(A—B)=tanA—tanB/1+tanAtanB
Answer:
tan (A−B)=tan(A)−tan(B)/1+tan(A)tan(B)tan(A−B)=tan(A)−tan(B)/1+tan(A)tan(B)
1+tan(A)tan(B) To prove this, we should know that:
1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)
1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)AND
1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)ANDcos(A−B)=cos(A)cos(B)+sin(A)sin(B)
1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)ANDcos(A−B)=cos(A)cos(B)+sin(A)sin(B)We start with:
1+tan(A)tan(B) To prove this, we should know that:sin(A−B)=sin(A)cos(B)−cos(A)sin(B)ANDcos(A−B)=cos(A)cos(B)+sin(A)sin(B)We start with:tan(A−B)=sin(A−B)/cos(A−B)
cos(A−B)tan(A−B)=sin(A)/cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)
cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)
cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,
cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(A)≠0 and cos(B)≠0cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(A)≠0 and cos(B)≠0The question on this page is asking for specific formula, which comes from Case 4, so I will only solve Case 4 here.
cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(A)≠0 and cos(B)≠0The question on this page is asking for specific formula, which comes from Case 4, so I will only solve Case 4 here.Dividing numerator and denominator in (1) by cos(A)cos(B) we get:
cos(B)−cos(A)sin(B)cos(A)cos(B)+sin(A)sin(B)(1)We would want to divide both numerator and denominator by cos(A)cos(B)but there are 4 cases,cos(A)=0 and cos(B)≠0cos(A)≠0 and cos(B)=0cos(A)=0 and cos(B)=0cos(A)≠0 and cos(B)≠0The question on this page is asking for specific formula, which comes from Case 4, so I will only solve Case 4 here.Dividing numerator and denominator in (1) by cos(A)cos(B) we get:tan(A−B)=sin(A)/cos(B)−cos(A)/sin(B)/;2cosA)cos(B)/cos(A)cos(B)+sin(A)sin(B)/cos(A)cos(B)
cos(A)cos(B)tan(A−B)=sin(A)cos(B)/cos(A)cos(B)−cos(A)sin(B)cos/(A)cos(B)cos/(A)cos(B)co(A)cos(B)+sin(A)sin(B)/cos(A)cos(B)
cos(A)cos(B)tan(A−B)=sin(A)/cos(A)−sin(B)cos(B)1+sin(A)cos(A)sin(B)cos(B)
cos(A)−sin(B)cos(B)1+sin(A)cos(A)sin(B)cos(B) tan(A−B)=tan(A)−tan(B)/1+tan(A)tan(B)
Step-by-step explanation:
Hope it is helpful....
A bag contains red, green, and yellow marbles. The probability of selecting a red marble is 35%. What is the probability of not selecting a red marble?
Probablity of selecting a red marble= 35%
Probablity of not selecting a red marble= 100%-35%
=65%
Hope it helps you. Please mark brainliest.
can you please help me!
Answer:
113.04
Step-by-step explanation:
All you have to do is substitute the r in the equation.
And of course pi is equal to 3.14
V = 4/3(3.14)3^3
That gives you a volume of around 113.04
u + 4u (u = 6) Answer please
What're yu still doing up? *_*
u + 4u = ?
According to the question, the value of u is 6.
6 + 4(6) = 6 + 24 = 30
u + 4u = 30 (If the value of u is 6)
Convert 1 4/16 into a percent.
Answer:
it is 25 percent
Step-by-step explanation:
Answer:
the answer is 1.25 un decimal
Write down 3 specific goals you’d like to accomplish in middle school. Make sure at least 1 is a long-term goal.
Make sure your goals are specific
Be clear and describe exactly what you need to do
The goal has a realistic deadline or time frame for achieving it
Make sure you will know when you’ve achieved the goal
Answer: SMART Goal: I will keep my locker clean and organized as a sign of respect for myself and to save time.
Achievable: Each week, I will clean out my locker by throwing away anything I don’t need and making sure everything is in its correct place.
Time-Based: I will organize my locker before school starts. I will clean it every week. By the end of the first semester, I’ll automatically know where everything in my locker can be found.
Step-by-step explanation:
Ramon and his brother go to an amusement park. They each go on the Ferris wheel that costs $6 per ticket and a roller coaster that costs $9 per ticket. Ramon pays for all the tickets. How much does Ramon pay altogether?
Answer:
6+6=12
9+9=18
12+18=30
30 dollars
Answer:
$30
Step-by-step explanation:
6+6=12
9+9=18
18+12=30
I would assume this was the right answer if not i would need more information to go with the question
Volume of a cylinder the radius Is 5ft the height is 10ft
Answer:
V = 785.7ft³
Step-by-step explanation:
V = π r² h
V = 22/7 (5) 10
V = 22/7 × 25 ×10
V = 22/7 × 250
V = 22 × 250 ÷ 7
V = 550 ÷ 7
V = 785.7ft³ answer
Answer: The volume of the cylinder is 785.7ft³
Please help! Really easy math, need it asap!!! It's in the picture
Answer:
answers are: (-1,-2), (1,2), (-1,5), (1,-5). in other words, option 2, 6, 7, and 8.
Step-by-step explanation:
hope it helps
Alexa surveyed 7 students and found 2 like scary movies.based on this information how many students would like scary movies out of 35 students
Can somebody plz help solve this word problem and write the equation and answer together thx :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDD
4 times 67 please only serious awnsersss
Answer:
268 hope i helped
Step-by-step explanation:
Answer:
268!
Step-by-step explanation:
You can easily g0ogle this so you don't need to waste points!
143=n-27. PLZ HELP DUE TOMORROW
Answer:
n=170
Step-by-step explanation:
add 27 to 143
then the equation is n=170
Please help me I want to get a perfect score
Answer:
the first and third one
Step-by-step explanation:
have a great day