Answer:
14x + 4
Step-by-step explanation:
The perimeter of a rectangle is the sum of all its sides. The rectangle have two sides with length 5x + 2, so:
(5x + 2)×2 = 10x + 4
And it also have two sides with length 2x, so:
(2x)×2 = 4x
And now just add it:
10x + 4 + 4x = 14x + 4
Answer: Perimeter = 14x + 4
Concept:
Here, we need to know how to find the perimeter of a rectangle.
Perimeter (rectangle) = 2 (l + w)
l = length
w = width
If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
Given information
l = 5x + 2
w = 2x
Given expression
Perimeter = 2 (l + w)
Substitute values into the expression
Perimeter = 2 (5x + 2 + 2x)
Combine like terms
Perimeter = 2 (7x + 2)
Expand parentheses and apply the distributive property
Perimeter = 2 · 7x + 2 · 2
Perimeter = 14x + 4
Hope this helps!! :)
Please let me know if you have any questions
Which answer choice correctly shows 343 written as a Roman numeral?
A. CCCVLIII
B.CCCXLII
C.CCCXLIII
D.CCCXXXXIII
Answer:
C.(CCCXLIII)
Step-by-step explanation:
I need help solving this.
16 - 2t + 5t +9
Answer:
give brainliest please I need it to level up
Step-by-step explanation:
16 - 2t + 5t + 9
16 + 9 -2t + 5t=0
25 + 3t =0
3t= -25
t= -8.3
I need help with this please help me
Please help its line segments
Step-by-step explanation:
[tex]here \: c \: is \: the \: \: mid \: point \\ so \: bc = cd \\ 6x - 16 = 4x + 10 \\ x \: terms \: togather \\ 6x - 4x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ thank \: you[/tex]
Answer:
x=13
Step-by-step explanation:
BC = CD
6x-16 = 4x+10
Subtract 4x from each side
6x-16-4x = 4x+10-4x
2x-16 = 10
Add 16 to each side
2x-16+16 = 10+26
2x = 26
Divide by 2
2x/2 =26/2
x = 13
A movie with an aspect ratio of 2.35:1 is shown as a letterboxed image on an older 25-inch 4:3 television. Find the height of the image, the height of each black bar at the top and bottom of the screen, and the percent of the screen’s area that is occupied by the image. Use a variety of representations to justify your response. Based on your analysis of television aspect ratios, why do you think the consumer market has moved having wide screen TV in the home?
The aspect ratio represents the ratio of the width to the height of a television.
The height of the image on the 25-inch television is 15 inches The height of each black bar is 8.51 inches The percentage of the screen area occupied is 56.73%Consumers moved to screens with wide screen to get clearer images.The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the older 25-inch [tex]4:3[/tex] TV is x.
The ratio is represented as:
[tex]Width : Height = 4:3[/tex]
Using Pythagoras theorem, we have:
[tex]Width^2 + Height^2 = 25^2[/tex]
[tex](4x)^2 + (3x)^2 = 25^2[/tex]
[tex]16x^2 + 9x^2 = 625[/tex]
[tex]25x^2 = 625[/tex]
Divide both sides by 25
[tex]x^2 = 25[/tex]
Take positive square roots
[tex]x = 5[/tex]
So, the height of the image is:
[tex]Height = 3x[/tex]
[tex]Height = 3 \times 5 = 15[/tex]
While the width is
[tex]Width = 4x = 4 \times 5 = 20[/tex]
Hence, the height of the image is 15 inches
The height of each black bar is calculated as follows:
[tex]Width : Height = 2.35 : 1[/tex]
Where
[tex]Width = 20[/tex]
So, we have:
[tex]20 : Height = 2.35 : 1[/tex]
Express as fraction
[tex]\frac{Height}{20} = \frac{1}{2.35}[/tex]
Make Height the subject
[tex]Height = \frac{20}{2.35}[/tex]
[tex]Height = 8.51[/tex]
The height of each black bar at the top and at the bottom is 8.51 inches
The percentage of the screen’s area that is occupied by the image is calculated using
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]
Where
[tex]A_1 \to[/tex] Area of black bars
[tex]A_2 \to[/tex] Area of the 25-inch 4:3 television
So, we have:
[tex]A_1 =8.51 \times 20 = 170.2[/tex]
[tex]A_2 =15 \times 20 = 300[/tex]
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex] becomes
[tex]\% Screen = \frac{170.2}{300} \times 100\%[/tex]
[tex]\% Screen = \frac{170.2}{3} \%[/tex]
[tex]\% Screen = 56.73 \%[/tex]
Hence, the percentage of the screen area occupied is 56.73%
Consumers moved to TV with a wide screen because a TV with wide screen shows bigger pictures than smaller dimension TV screens,
When the pictures are bigger, the consumers will have a clearer view of what they're watching.
Read more about aspect ratios at:
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24 24 24 न 20 22 17 many b) Karma spends, 3 hrs everyday leaming music. How hours does e she spend learning music o in a week? 기can anyone pls tell me answer
Answer:
......................
4. Find the quotient. -7 ÷ 14/3
Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate of 5 and point L has a coordinate of 12. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.
Answer:
D. 216/625Step-by-step explanation:
The length of the segment JM is 25 units.The segment JL is between 0 and 12, so is 12 units.The segment KL is between 5 and 12, so is 7 units.The probabilities for each point:
P(point on JL) = 12/25P(point not on KL) = 1 - 7/25 = 18/25Required probability:
P = 12/25*18/25 = 216/625Correct choice is D
is a rectangle. EA is 12 in. Find the length of the diagonal .
12 in.
24 in.
6 in.
26 in.
Answer:
hey please saw the figure
Answer:
Step-by-step explanation:
its 24
Javier is constructing a door for his son's tree house. The dimensions of the rectangular door are 6a^2-a+2 feet and 3a^2+5 feet. He wants to cut out a square from the door to insert a glass panel, as per the diagram below. The glass panel will have a height of a -3 feet.After Javier removes the square for the glass panel, how much of the door will be made from wood?
The area of a figure is the amount of space the figure can occupy. [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Given
[tex]Length = 6a^2 + 2[/tex]
[tex]Width = 3a^2 + 5[/tex]
First, calculate the area of the rectangular door
[tex]Area = Length \times Width[/tex]
[tex]Area =(6a^2 + 2) \times ( 3a^2 + 5)[/tex]
[tex]Area = 18a^4 + 6a^2 + 30a^2 + 10[/tex]
[tex]Area = 18a^4 + 36a^2 + 10[/tex]
Next, calculate the area of the glass panel
The dimension of the glass panel is not given, and the diagram is not attached. So, I will assume the dimension of the square glass panel is [tex]6a[/tex].
So, the area of the glass panel is:
[tex]Area = 6a \times 6a[/tex]
[tex]Area = 36a^2[/tex]
To calculate how much wood that will be needed for the rectangular door, we simply subtract the area of the glass panel from the area of the door
[tex]Wood = 18a^4 + 36a^2 + 10 - 36a^2[/tex]
Collect like terms
[tex]Wood = 18a^4 + 10 + 36a^2 - 36a^2[/tex]
[tex]Wood = 18a^4 + 10[/tex]
Considering the assumed value, [tex]18a^4 + 10[/tex] of the door will be made from the wood.
Learn more about areas at:
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19 of 25 QID: 94600
For the function f(x) = x2 + 4, identify the values of f(0), f(1/2), and f(−1).
0; 19/4; 5
0; 19/4; 3
4; 17/4; 5
4; 17/4; 3
Answer:
4; 17/4; 5
Step-by-step explanation:
For f(0)
Replace all x to 0:
f(0)=0^2+4
4
For f(1/2)
1/2^2+4
Which is 17/4
For f(-1)
-1^2+4
Which is 5
Hope this helps!
What is the coefficient
Answer:
B
Step-by-step explanation:
Using the Pascal's triangle
Pertaining to the 8th term the coefficients are;
1, 8, 28, 56, 70, 56,28, 8 and 1 in that order
Expanding this,
the coefficient of the term x^7y is 8
What time is shown on the clock
Answer:
9:18
Hope this helps <3
15 people fit comfortably in a 6 feet by 6 feet area. Use this value to estimate the size o a crowd that is 30 feet deep on both sides of the street along a 2-mile section of a parade route. (Hint: 1mile= 5,280ft)
158,400 people will fit into an area with a dimension of 30feets by 2 miles.
The area of the street can be calculated thus :
Area = Length × width
Converting the width to feets :
1 mile = 5280 feets
2 miles = x
Cross multiply :
x = 5280 × 2 = 10560 feets
Area = 10560 ft × 30ft = 316800 ft²
Since 15 people fit into an area with dimension which is 6 ft by 6ft
Area = 6 × 6 = 36 ft²
Let x = number of people
15 people = 36 ft²
x people = 316800 ft²
Cross multiply :
x = (316800 × 15) / 36
x = 158,400 people
Hence 158,400 people will fit in.
A similar question can be found here : https://brainly.com/question/13081090
Evaluate 5 - (4 + 2)2
O A. 9
O B. -15
O C. 5
O D.-31
5 - (4 + 2)² = 5 - 6² =
= 5 - 6 · 6 = 5 - 36 = -(36 - 5) = -31
Answer: D)
For her phone, Halima pays a monthly fee of 18 AED and she pays an additional 5 fils per minute of use. The least she has been charged in a month is 71.90 AED. What is the minimum number of minutes she has used on her phone in a month?
Answer:
1078 minutes
Step-by-step explanation:
18 + 0.05x = 71.90
0.05x = 71.90 - 18
0.05x = 53.9
x = 53.9/0.05
x = 1078 minutes
The minimum number of minutes is 1078 minutes.
To find the minimum number of minutes she has used on her phone in a month.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers.
Given that :
Halima pays a monthly fee of 18 AED and she pays an additional 5 files per minute of use. The least she has been charged in a month is 71.90 AED.
so, that
18 + 0.05x = 71.90
0.05x = 71.90 - 18
0.05x = 53.9
x = 53.9/0.05
x = 1078 minutes
So, the minimum number of minutes is 1078 minutes.
Learn more about arithmetic here:
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#SPJ2
find the value of x and y
Answer:
x=11
y=3
Step-by-step explanation:
(9x+25)=(13x-19)
9x+25 = 13x−19
9x+25-25 = 13x−19-25
9x=13x-44
9x-13x=13x-44-13x
-4x= -44
x=11
y= 180-(9x+25)
y= 180-(99+25)
y= 180-124 = 56
y= 56-5 = 51
y= 51/17
y= 3
Good luck
-4 times a number plus 29
Step-by-step explanation:
Let the number be x, then
-4(x+29)
pls answer my question
Answer:
have a great day
god is great
Estimate the shaded areas of the following shapes.???
Answer:
436cm^2
Step-by-step explanation:
you're gonna have to round up to the nearest whole number.for no.2 split the shape so that it'll give u two rectangles.for no.3 find the area of the small rectangle and minus from the area of the big rectangle
Big rectangle =30*16=480
small rectangle =4*11=44
480-44=436
Please help me I will mark brainliest :)
Answer:
X should equal 12.
Step-by-step explanation:
I say this because we know TED= 30° bc 50°-20° = 30
then u have to think about what × 2 + 6 equals 30
sure enough 12 × 2 = 24 and 24 + 6 = 30
that's why I say X equals 12
The pie chart represents the results of an online poll question, Should cell phones be banned in schools?. A total of 1840 girls were asked the question, with 379 answering yes and 1461 girls answering no. The larger section of the pie is labeled as no, representing the count of 1461 girls who answered as no and the smaller section is labeled as yes, representing the count of 379 girls who answered as yes. What percent of girls who voted in this poll think that cell phones should be banned from schools? Give your answer as a whole number.
Find the largest integer that is below Square root 10
Answer:
3.16
Step-by-step explanation:
Graph each system. Tell whether the system has no solution, one solution, or infinitely many solutions. y=2x-3 y=-x+3
hope it is help full
Step-by-step explanation:
mark me a brainlistwhat is a example of the reflexive property.
Answer: 3 is equal to 3
Explaination: We all have learned that reflexive property of equality means that anything is equal to itself. So, this property tells us that anything is equal to itself.
Kay's mother's age is six more years than twice Kay's age. The sum of their ages
is 81. Find both of their ages.
Answer:
6x81=2
Step-by-step explanation:
4. Your gross pay is $459, they take out 6.25% for income taxes and 7.65% for FICA
(Social Security & Medicare). How much is your net pay?
If you work for an employer, you and your employer each pay a 6.2 percent Social Security tax on up to $142,800 of your earnings and a 1.45 percent Medicare tax on all earnings.
Answer:
6.25%*459=28.6875
7.65%*459=35.1135
459-28.6875=430.3125
430.3125-35.1135=395.199
What is 5 x 0.1 + 4 x 0.01 + 8 x 0.001 written in standard form?
Answer:
0.548
Step-by-step explanation:
5 x 0.1 = 0.5
4 x 0.01 = 0.04
8 x0.0001 = 0.008
Now add them all together to get 0.548 in standard form.
I hope this helps! :)
Answer:
5 × 0.1 is 0.5
4 × 0.001 is 0.04
8 × 0.0001 is 0.008
so add all number is
0.548
please help me with this and explain your answer
Answer:
B
Step-by-step explanation:
t=4x+c
Since we are looking for x,
t-c=4x
Divide through by the coefficient of x which is 4
4x/4=t-c/4
Therefore, x=t-c/4
0.6m=____mm . answer the question
Answer:
600
Step-by-step explanation:
since 1m=1000mm