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:
brainly.com/question/17231027
Evaluate the expression.
5 x -3 + 2
Answer:
5x-1
Step-by-step explanation:
solution
5x-3+2
or, 5x-1
can someone help I need help lol
8x-2y+5z=-5
5x+2y-3z=7
Answer:
167
812
Step-by-step explanation:
I think it's correct and helping you get a great day:)
In a hotel, 40 people occupy excatly 26 rooms. Each room is occupied by either one or two people. How many rooms are occupied by exactly one person?
Explanation:
Let's say that the first 26 people will occupy each of the 26 rooms. This means that, so far, there's one person per room.
There are 40-26 = 14 people left. Let's say those 14 people occupy the first 14 rooms. This means that the first 14 rooms now have 2 people in them per room. The remaining 26-14 = 12 rooms still have one person per room.
0<4K-5k
Can I get some help thanks
Answer:
0>k
Step-by-step explanation:
0<4k-5k
Combine like terms
0<-k
Multiply each side by -1, remembering to flip the inequality
0>k
Aisha wants to paint the wall of the room. She knows that each can of the paint contain one gallon. A half gallon will completetly cover a 55 square feet of wall. Each of the four wall of the room is 10 feet high. Two of the walls are 10 feet wide and two of the walls are 15 ft wide. How many one gallons buckets of paint does aisha need to buyin order to paint the room ?
Answer:
It doesn't say what to do with that 0.1 of a gallon. I would buy another gallon or dilute what I had so it came to exactly 9.1 gallons. In math, I suppose the answer is 9.
In reality it would be 10.
You have to choose. What has been done with other questions like this.
Step-by-step explanation:
1 can covers 55 square feet.
h = 10
w1 = 10 feet
w2 = 10 feet
w3 = 15 feet
w4 = 15 feet
Total area = Area of wall 1 + wall 2 + wall 3 + wall 4
Total area = 10*10 + 10*10 + 10*15 + 10* 15
Total area = 100 + 100 + 150 + 150
Total area = 500 feet^2
1 gallon / 55 ft^2 = x / 500 ft^2 Cross multiply
55 * x = 500 Divide by 55
x = 500/55
x = 9.1 gallons.
In real life you would buy another gallon.
1. How much interest
will Hannah earn in 4 years if she
deposits $630 in a savings account at
6.5% simple interest?
Answer:
$163.8 more.
Step-by-step explanation:
Let's use the formula Principle × Rate × Time, or PRT to find our simple interest. Let's fill in the blanks. Our principle is $630. Our rate is 6.5% and our time is 4 years. Next, we multiply all this. $630 × 13/200 × 4. Our answer would be 163.8. I hoped this helped.
Trena's jump rope is 3.5 feet
long. Jackie's is 3.8 feet long.
How much longer is Jackie's
jump rope than Trena's?
Answer:
0.3 feet
Step-by-step explanation:
3.8 - 3.5 = 0.3 feet
Intersection of 2 lines form a
Answer:
i believe that`s called a linear pair. the opposite sides of the lines create matching angles.
blake and josh are both saving money for a new bike. the ratio of blake,s saving to josh saving is 3:1 if they have saved 400$, how much has each boy saved
Answer:
200 each.
Step-by-step explanation:
400 divided by 2 is 200
How to solve
56.25x = 678
Answer:
x = 12.053
hope this helps !!
A student’s incorrect attempt to simplify an exponential expression is show in the box
What is his mistake!!!!!
Answer:
A
Step-by-step explanation:
x^a/x^b=x^(a-b). General rule of exponents
We can calculate the volume V of a rectangular prism using V = lwh, where l is the length, w is the width, and h is the height of the
prism. Suppose that a prism has a volume of 200 cm and l = 2w.
a. Select all of the equations that rewrite the volume formula by making substitutions for V and l.
200 = 2w²h
200 = 4wh
V = 22
2w xwxh = 200
Answer:
Step-by-step explanation:
200=2w²h
The equations are -
200 = 2[tex]w^{2}[/tex]h
2w x w x h = 200
We have a prism and the formula to calculate its volume is given.
We have to select all of the equations that rewrite the volume formula by making substitutions for V = 200 cubic centimeter and L = 2w.
What is Prism ?A Prism is a three-dimensional shape, which consists of two identical polygons, which do not lie in the same axis.
According to the question, we have -
Volume of Prism = 200 cubic centimeter
L = 2w
The formula to calculate the volume of prism equals to -
V = Lwh
Substituting values, we get -
200 = 2[tex]w^{2}[/tex]h
or
2w x w x h = 200
Hence, the equations are -
200 = 2[tex]w^{2}[/tex]h
2w x w x h = 200
To solve more questions on prism, visit the link below-
https://brainly.com/question/17619973
#SPJ2
please solve, hurry if you can
Answer:
x = -7
Step-by-step explanation:
3(x+8)=3
3x+24 = 3
-24 -24
3x = -21
3x -21
3 3
x = -7
Answer:
Fill the boxes with x & 8
See the image.
Tyrell gave 3 packs of baseball cards to his friends. He gave each friend 1/2 of a pack. How many friends got baseball cards?
Answer:
The answer is 6, my other answer got deleted for being "incomplete" even through I was marked as brainliest
Step-by-step explanation:
Find the value of x.
Answer:
x=70
Step-by-step explanation:
c would equal 80 because 80 is on the othwr side and 30 would transfer to the angle of D the you would add 80 and 30 and subtract it by 180 leaving you with 70
john has a mass of 54 kg ,60grams. how many grams is that
Answer:
54,060g
Step-by-step explanation:
1kg=1000,
therefore 54kg= (54x1000)
= 54000+60
= 54060g
If the average annual CPI of a career goes from 124.0 to 130.7 what is the inflation rate (don't forget to put % in your answer).
Answer:
(new-old)/old * 100%
130.7-124/124 = .054 = 5.4%
Step-by-step explanation:
Evaluate –3² + (2 – 6)(10).
Answer:
-49
Step-by-step explanation:
Y=DB-3 solve for d. These equations are still tricky for me.
This three pleaseee
Answer:
Hi. 6.2 is rational
Step-by-step explanation:
Irrational numbers never end. They go on forever.
x^3*x^8=x^11 (When you multiply, add the powers)
45 POINTS !!!!
no bull, or i will report and get my points back
can someone accuracy work this out, they did not have geometry
Answer:
((down below))
Step-by-step explanation:
If A is the midpoint of Line Segment XY, then we can conclude that the length of XA = the length of AY. ((in other words, XA = AY))
Find XA
Insert equations // 2x = 10x - 8It's best to solve for "x." So we do this by flipping the equation (you can do this in any way you want, but this seemed easier) // 8 = 10x - 2x8 = 8x // Divide for x // x = 1Finding the Length of AY (Calculating Length)
Substitute x = 1 from XA // 10(1) - 8We get an answer of 2 ((this is the length of AY))Finding the Length of XA
Substitute x = 1 from XA // 2(1)We get an answer of 2 ((this is the length of XA)Finding the Length of XY
XA = AY // the length of XA is 2 (or 2 units, or whatever you are measuring in) and the length of AY is 2, then finding the length of XY means adding both lengths togetherXA = AY = 2 = 2 = 2 + 2 = 4 ((the length of XY is 4))How tall are redwood trees? ( statistical not statistical
Answer:
It's a statistical question.
and there between 250-300 feet.
for the math experts again!
Answer:
985
Step-by-step explanation:
The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.
سر
.
A particular satellite is 15 m wide. A model
of it was built with a scale of 1 cm: 5 m.
How wide is the model?
Answer:
3cm
Step-by-step explanation:
A particular satellite is 15 m wide
Model of it was built with a scale of 1 cm: 5 m
=> scale of the model will be: 1/500cm and A particular satellite is 1500 cm wide
=>1500*1/500=3(cm)
How many cups of 15% juice
must be added to 10 cups of
20% juice so that the mixture is
17% juice?
Answer:
15 cupsStep-by-step explanation:
20% of juice has:
10*0.2 = 2 cups of extractIf x cups of juice added we'll have:
2 + x*0.15 = 0.17(10 + x)2 + 0.15x = 1.7 + 0.17x0.17x - 0.15x = 2 - 1.70.02x = 0.3x = 0.3/0.02x = 15An unknown metal having a mass of 287.8 g was added to a graduated cylinder that contained
31.47 mL of water. After the addition of the metal, the water level rose to 58.85 mL. Determine
the volume of the metal. Calculate the density of the metal using dimensional analysis.
The metal displaced a volume of
58.85 mL - 31.47 mL = 27.38 mL = 27.38 cm³
of water, which is to say the metal has this volume.
If the metal has a mass of 287.8 g, then its density is its mass per unit volume,
(287.8 g)/(27.38 cm³) ≈ 10.51 g/cm³
please help questions on picture
Answer:
32
Step-by-step explanation:
4+8 = 12
12 + 6 = 18
18 x 2
= 32
hope i helped you!
Find the value of ab when a=1/10 and b=7/10
Answer:
7/100
Step-by-step explanation:
ab = (a) x (b) = (1/10) x (7/10) = 7/100
A food company distributes its tomato soup in two cans of different sizes. For the larger can, the diameter has been increased by , and the height remains the same. By what percentage does the volume of the can increase from the smaller can to the larger can
Answer:
Step-by-step explanation:
buenas tardes .....
solucion
Volumen de un cilindro: es igual al área de la tapa por la altura del mismo
A = πD² * h / 4
Lata grande y lata pequeña
Para la lata grande, el diámetro y la altura han aumentado un 20%.
Lata pequeña:
d = 4 cm
h = 3 cm
A 1 = π * (4) ² * 3/4
A1 = 37,70 cm²
Lata grande:
d = 4 * 1,2 = 4,8 cm
h = 3 * 1,2 = 3,6 cm
A2 = π (4,8) ²3,6 / 4
A2 = 65,14 cm²
Si 37,7 representa el 100%
65,14 representación x
x = 170%
El incremento del volumen es de un 70%
