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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Simplify each expression
1. 2x + (x - 4) + (2y - 5)
2. 3(x - 2) + 4(x + 3)
Answer:
1. 3x-9+2y
2. 7x+6
Step-by-step explanation:
1. 2x + (x - 4) + (2y - 5)
2x+x-4+2y-5
3x-9+2y
2. 3(x - 2) + 4(x + 3)
3x+4x-6+12
7x+6
Answer:
1. 3x - 9 + 2y 2. 7x + 6
Step-by-step explanation:
1.
2x + (x - 4) + (2y - 5) =
3x - 9 + 2y
2.
3(x - 2) + 4(x + 3) =
3x - 6 + 4x + 12 =
7x + 6
Can someone pls explain what I’m supposed to do I don’t really understand
Answer:
There are only 3 differences perform
Step-by-step explanation:
I. If x is negative, y is negative then the answer is possitive
eg. x is -2, y is -3
-2 × -3 = 6
II. If x is negative, y is positive then the answer is negative
eg. x is -1, y is 2
-1 × 2 = -2
III. If x is possitive, y is possitive then the answer is positive
eg. x is 2, y is 5
2 × 5 = 10
Alt. No matter how long x, y, z, a, b there always apply only 3 rules above. Multiply or Devide are the same rule.
Ask me for anything :D
Find the area of the circle. Use 3.14 for pi.
Circle diameter of 12 inches.
A: 113.04in^2
B. 452.16in^2
C. 37.68in^2
D. 354.95in^2
Please, show your work if you have a answer to this question.
Answer:
A: 113.04in^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
We know the diameter is 12 inches so the radius is 1/2 the diameter
r = 1/2 d =1/2(12) = 6inches
A = (3.14) (6)^2
A = 113.04 in ^2
A motorcycle can travel 48 miles for every gallon of gas used
Use the unit rate to complete the table for the miles traveled by motorcycle
Answer:
A-96
B-144
C-192
:) have a nice rest of your day!
Step-by-step explanation:
Factor 5x^2-21x-20.
Answer: (5x+4)(x-5)
Step-by-step explanation:
:)
Help me with this function problem!
Answer:
f(2) = g(2)
Step-by-step explanation:
If [tex]f(x)=2x[/tex] and [tex]g(x) = 2^x[/tex]
[tex]f(2) = 2*2 = 4\\g(2) = 2^2 = 4[/tex]
therefore, [tex]f(2) = g(2)[/tex]
What's the value of u+ v
The hypothetical solution for the values of u + v = 3/10
The values of u and v aren't given in the question. However, giving an hypothetical solution to the problem.
Since we have an addition operator to be used on the values of u and v
Taking the values of u and v to be a real number such as :
u = 1/10 and v = 1/5
u + v = 1/10 + 1/5
Taking the L. C. M of 10 and 5;
L. C. M = 10
HENCE,
u + v = 1/10 + 1/5 = (1 + 2) / 10 = 3/10
Hence, the value of u + v = 3/10
Learn more on addition : https://brainly.com/question/9585060
Answer: what??
Step-by-step explanation:
A figure is transformed according to the rule (x,y) = (x-1, y + 4). What transformation has taken place?
A. Translation of each point 1 unit to the left and 4 units up.
B. Translation of each point 1 unit to the right and 4 units up.
C. Dilation by a scale factor of -1/4.
D. Reflection over the x-axis, then translated up 4 units.
The answer is A because x-1 means moving left 1 on the x axis. As well, y+4 means moving 4 up on the y axis.
Which of the following represents "10 less than n"?
Answer:
n - 10
Step-by-step explanation:
10 is less than n so subtract 10 from n
PLEASE HELP!!! The data set shows the numbers of flowers that students on a field trip correctly identified.
What is the mode of the data set?
2 0 5 7 8 9 8 2 1 8
A. 2 and 8
B. 2 only
C. no mode
D. 8 only
factorise pls explain me i will make u brainlinst
Answer:
4(5x _ 2y ) ^
Step-by-step explanation:
It is above in a photo .
if length of each side of square is 7 m find it's area and perimeter
Answer:
Area is 49 m²
Step-by-step explanation:
[tex]area = (side \times side)[/tex]
since all sides are equal, side = 7 m
[tex]a = (7 \times 7) \: {m}^{2} \\ a = 49 \: {m}^{2} [/tex]
(8+4)to the second power +(18÷3)
Answer:
150
Step-by-step explanation:
(8+4)^2 + (18/3)
12^2 + (18/3) First Evaluate (8+4)^2 and divide 18 by 3
144 + 6 Add
=150 <--- And 150 is your final answer :)
Side Note: When using powers it is the number times itself a certain amount of times. That is why we multiply 12 * 12.
(a3 - b3 - 3ab) - (a3 + b3 - 3ab) Is equal to____
Answer:
[tex] - 2 {b}^{3} [/tex]
Step-by-step explanation:
[tex]a^3−b^3−3ab−(a^3+b^3−3ab)[/tex]
[tex]=(a^3)+(−a^3)+(−b^3)+(−b^3)+(−3ab)+(3ab)[/tex]
[tex]= - 2 {b}^{3} [/tex]
Hope it is helpful....Which of the following accurately completes the missing statement and justification of the two-column proof?
m∠BEC + m∠CED = m∠BED; Definition of a Linear Pair
m∠ABC + m∠BEC = m∠BED; Angle Addition Postulate
m∠ABC + m∠BEC = m∠BED; Definition of a Linear Pair
m∠BEC + m∠CED = m∠BED; Angle Addition Postulate
Considering the angle theorems, the appropriate answer to the question is option D. m∠BEC + m∠CED = m∠BED; Angle Addition Postulate
In the diagram, lines BC and ED are parallel and both were intersected by a transversal AE. Thus it can be observed that:
m<ABC = BED = [tex]70^{o}[/tex] (corresponding angle theorem)
But,
m<BEC + m<CED = m<BED (angle addition postulate)
with m<CED = [tex]30^{o}[/tex], and m<BED = [tex]70^{o}[/tex]
So that,
m<BEC + [tex]30^{o}[/tex] = [tex]70^{o}[/tex]
m<BEC = [tex]70^{o}[/tex] - [tex]30^{o}[/tex]
= [tex]40^{o}[/tex]
m<BEC = [tex]40^{o}[/tex]
Since linear pair are two angles that add up to [tex]180^{o}[/tex]. Therefore the required answer is option D.
i.e D. m∠BEC + m∠CED = m∠BED; Angle Addition Postulate
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5 added to a certain number gives a result of -6 . Find that number
Answer:
- 11
Step-by-step explanation:
let the number be n , then
n + 5 = - 6 ( subtract 5 from both sides )
n = - 11
The number is - 11
Answer: -11
Step-by-step explanation:
Let x be the number
Set equation
x + 5 = -6
Subtract 5 on both sides
x + 5 = -6 - 5
[tex]\boxed{x=-11}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
2. What is the midpoint of the line segment with endpoints (-7, 2) and (13,-6)?
Answer:
The midpoint is (3, -2)
Step-by-step explanation:
[tex]m = (\frac{x1 + x2}{2}, \frac{y1 + y2}{2})\\m = (\frac{-7 + 13}{2}, \frac{2-6}{2})\\m = (\frac{6}{2}, \frac{-4}{2})\\m = (3, -2)[/tex]
Find the greatest common factor in the given terms. I will give brainlist !
Answer:
yoo dang what math class is this
Step-by-step explanation:
please help!!!!!!!!!!
Step-by-step explanation:
I donot know it hard for me
Answer:
10-2 is 8 and keep the five drag the eight as the exponent and thats how you get your answer
Step-by-step explanation:
brainliest please
What is CD? to number 11
Answer:
CD = 38
Step-by-step explanation:
BC + CD = BD
8x + 8 + 6x - 28 = 10x + 24
8x + 6x + 8 - 28 = 10x + 24 {Combine like terms}
14x - 20 = 10x + 24 { Add 20 to both sides}
14x = 10x + 24 + 20
14x = 10x + 44 {Subtract 10x form both sides}
14x - 10x = 44
4x = 44 {Divide both sides by 4}
x = 44/4
x = 11
CD = 6x - 28 = 6*11 - 28 = 66 - 28 = 38
Four people wanted to cross the river. There is only one boat available, and it can carry a maximum of
200 pounds. The weights of the four people are 190, 170, 110, and 90 pounds. How can they all
manage to get across the river, and what is the minimum number of crossings required for the boat?
Answer:
3 Trips/crossings
Step-by-step explanation:
190 Pounder Person goes by themselves, 170 goes by themselves, and 110 and 90 pounds go together.
How can I work this problem in adding integers with counters 5 + (-7)
[tex]\huge\mathsf\green{Answer}[/tex]
[tex]5 + ( - 7) \\ 5 - 7 = - 2[/tex]
hope it would be helpfulMATH GIVING OUT BRAINLY TO CORRECT ANSWER
Answer:
C
Step-by-step explanation:
Fractions cant be integers
Hello! Please help, thank you
can someone explain
The can contains 15.7 g of sugar per 100 mL. So if the can holds 330 mL of soft drink, then overall it contains
(15.7 g) / (100 mL) × (330 mL) = 51.81 g
of sugar, and this is
(51.81 g) / (90 g) ≈ 0.575667 ≈ 57.6%
so Tom's friend is correct.
50 m + 4 % please help
Answer:
52 meters
Step-by-step explanation:
each percent is 1, so 50m plus 4 percent equals 52
rearange the formula y= x + 2 over x - 4 to make x
Answer:
5094/340o.44o//////134
Step-by-step explanation:
F
AABC - ADEF
Match the
following
AB [?]
B
E
B
DE EF FD
Help me please look at the pictures
Identify the rule for the following pattern:
12, 25, 38...
Answer:
13
Step-by-step explanation:
The common difference is 13 I
12 + 13 = 25
25 + 13 = 38
And so on.....