The aspect ratio of a Television is the ratio of the width to the height of the television.
The height of image on the 50-inch television is 24.48 inchesThe height of each black bar is 23.52 inchesThe percentage of the screen area occupied is 96.08%The size of a TV is calculated using Pythagoras theorem. Assume the length ratio of the new 50-inch 16:9 TV is x.
The ratio is represented as:
[tex]Width : Height = 16 : 9[/tex]
Using Pythagoras theorem, we have:
[tex](16x)^2 + (9x)^2 = 50^2[/tex]
[tex]256x^2 + 81x^2 = 2500[/tex]
[tex]337x^2 = 2500[/tex]
Divide both sides by 337
[tex]x^2 = 7.42[/tex]
Take square roots of both sides
[tex]x = \sqrt{7.42[/tex]
[tex]x = 2.72[/tex]
So, the width of the image is:
[tex]Width = 16x[/tex]
[tex]Width = 16 \times 2.72[/tex]
[tex]Width = 43.52[/tex]
The height of the image is then calculated as:
[tex]Height = 9x[/tex]
[tex]Height = 9 \times 2.72[/tex]
[tex]Height = 24.48[/tex]
The height of the image is 24.48 inches
The height of each black bar is calculated as follows:
[tex]Width : Height = 1.85 : 1[/tex]
Express as fraction
[tex]\frac{Height}{Width}= \frac{1}{1.85}[/tex]
Make Height the subject
[tex]Height = \frac{1}{1.85}\times Width[/tex]
Substitute [tex]Width = 43.52[/tex]
[tex]Height = \frac{1}{1.85}\times 43.52[/tex]
[tex]Height = 23.52[/tex]
The height of each black bar is 23.52 inches
Lastly, the percentage of the screen’s area that is occupied by the image
First, we calculate the area of the bars
[tex]A_1 = Height \times Width[/tex]
Where:
[tex]Height = 23.52[/tex] and [tex]Width = 43.52[/tex]
So:
[tex]A_1 = 23.52 \times 43.52[/tex]
[tex]A_1 = 1023.59[/tex]
Next, calculate the area of the 50-inch TV
[tex]A_2 = Height \times Width[/tex]
Where
[tex]Width = 43.52[/tex] and [tex]Height = 24.48[/tex]
So:
[tex]A_2 = 24.48 \times 43.52[/tex]
[tex]A_2 = 1065.37[/tex]
So, the percentage occupied on the screen area is:
[tex]\% Screen = \frac{A_1}{A_2} \times 100\%[/tex]
[tex]\% Screen = \frac{1023.59}{1065.37} \times 100\%[/tex]
[tex]\% Screen = \frac{102359}{1065.37} \%[/tex]
[tex]\% Screen = 96.08 \%[/tex]
Hence, the percentage of the screen area occupied is 96.08%
Read more about aspect ratios at:
https://brainly.com/question/17231027
Simplify the expression by
combining like terms:
Answer:
-2a+6
Step-by-step explanation:
-3a+a+1+5
-2a+6
h added to the ratio of three and g
Answer: (3/g) + h
Step-by-step explanation:
(-2xy + 3 )(xy-1) e cần câu trả lời gấp ạ
-4n - 8 = 4 (-3n + 2)
what is n?
Answer:
[tex] - 4n - 8 = 4( - 3n + 2) \\ - 4n - 8 = - 12n + 8 \\ 12n - 4n = 8 + 8 \\ 8n = 16 \\ n = \frac{16}{8} \\ = 2 \\ thank \: you[/tex]
g(4): Your answer is incorrect.
2
The functions f and g are defined as follows.
f(x) = 3x² – 3x
g(x) = - 4x +4
Find f(-4) and g (4)
Simplify your answers as much as possible.
FASTEST WITH BOTH ANSWERS WILL BE BRAINLIEST
Answer:
60 and - 12
Step-by-step explanation:
Substitute x = - 4 into f(x) , that is
f(- 4) = 3(- 4)² - 3(- 4) = 3(16) + 12 = 48 + 12 = 60
Substitute x = 4 into g(x)
g(4) = - 4(4) + 4 = - 16 + 4 = - 12
Help plz!!!!!!!!!!!!!!!!!!!!!!
Answer:
f(2) = -3
x = (3, 3)
Step-by-step explanation:
Evaluate. 46−[(9+15÷5)×3]
Answer:
10
Step-by-step explanation:
46 - [(9 + 15 ÷ 5) × 3]
~We can simplify everythingusing PEMDAS
46 - [(9 + 3) × 3]
46 - [(12) × 3]
46 - 36
10
Best of Luck!
Answer:
46−[(9+15÷5)×3] = 10
Step-by-step explanation:
46-[(9+3)×3]
46-[12×3]
46-36
10
The area of a square is 16cm²
What is the perimeter?
Answer:
Perimeter = 16 cm
Step-by-step explanation:
The formula for a square's area = s^2 where the length of the side is s.
s^2 = 16 Take the square root of both sides
sqrt(s^2) = sqrt(16)
s = 4
The perimeter is the same
P = 4*s
P = 4 * 4
P = 16
Answer:
16
Step-by-step explanation:
Square root of 16 = 4cm
4 sides, 4 * 4 = 16cm
Suppose c = 5 and A = 85 degrees.
Answer:
a = 4.98
b = 0.44
B = 5
Concept:
Here, we need to know the idea of the Pythagorean theorem and basic trigonometry ratios.
Pythagorean theorem: a² + b² = c²
a = legb = legc = hypotenuseTrigonometry ratios:
Sine = Opposite / Hypotenuse = O/HCosine = Adjacent / Hypotenuse = A/HTangent = Opposite / Adjacent = O/ASolve:
**Disclaimer** The question did not clarify which place did it required to be rounded to as some of the values are infinite. I rounded to the hundredth place. If it is fine, then you may refer to my answers. If it is not, then you may tell me and I'll redo it.
Given information
c = 5
A = 85°
PART ONE: Find the value of [a]
sin (A) = Opposite / Hypotenuse = a / c
sin (85) = a / 5
a = 5 · sin (85)
a = 4.98
PART TWO: Find the value of [b]
cos (A) = Adjacent / Hypotenuse = b / c
cos (85) = b / 5
b = 5 · cos (85)
b = 0.44
PART THREE: Find the value of [B]
Since the triangle as a right angle sign, meaning it is a right triangle.
Therefore, the corner angle is 90°.
90 - 85 = 5°
Hope this helps!! :)
Please let me know if you have any questions
Vicky wanted to investigate water evaporation. She placed 50 mL of distilled water in three identical glass jars. She left one jar in the sunlight, one jar in the dark, and one jar in a shady area. After four hours, she measured how much water was still in each jar.
Which of the following variables was held constant in the experiment?
A.
amount of water in jars at the end of the investigation
B.
air temperature
C.
light exposure
D.
amount of water placed in jars
using the variable n write an algebraic expression for a number increased by 6
The answer you are looking for is simply just n+6.
Solution/Explanation:
If you use the variable "n" to write an algebraic expression, for a number increased by 6, you must write it like this:
n+6.
And, also, increase obviously means the same thing as adding.
So, therefore, "n" stands for the number in this algebraic expression, and if you add 6 to that number "n," it must be n+6.
So, therefore, the final answer is n+6.
I hope that this has helped you. Enjoy your day, and take care!
there are 14 math teachers and 26 science at school today what is the ratio of math teachers and science at school?
Answer:
Answer is 7:20
It's basically asking "what is the ratio of math teachers to total teachers?" assuming there are only math and science teachers at this school. For the sake of simplicity, let's just go with that. We have 14 math teachers and 14+26 = 40 teachers total. The ratio of math to total is 14:40 which reduces to 7:20 when we divide both parts of the ratio by the GCF 2.
Step-by-step explanation:
Answer:
the ratio is
14:26
but you can leave the answer like this the two numbers can be divided by 2 so
14/2=7 and 26/2=13
then the answer is 7:13.
Please help its due in 30 minutes will mark braniliest
Answer:
coplanar
Step-by-step explanation:
coplanar means that they lie on the same plane.
Answer:
I think the answer is coplaner
without graphing,where is the x-intercept of y=1/2x-4
Answer:
x = 8
Step-by-step explanation:
[tex]y = \frac{1}{2} x - 4[/tex]
[tex]0 = \frac{1}{2} x - 4[/tex]
[tex]0 = x - 8[/tex]
[tex] - x = - 8[/tex]
[tex]x = 8[/tex]
Find the sum: xy+6xy
Answer:
7xy
Step-by-step explanation:
-8n - 8(- 4-2n)
Anyone?
Answer:
8n+32 Thats if youre simplyifying it
8(4+n)
Jdbdksjdjskdjjdjd
The radius of the circle below is 5 inches. What is the diameter of the circle?
Answer:
10 inches
Step-by-step explanation:
radius = 5 inches
Diameter = radius x 2 = 5 x 2 = 10 inches
-21 - 8a = -5(a +6)
Step by step if possible
Answer:
Step-by-step explanation:
First multiply the -5 to (a+6)
The equation will look like this
-21 - 8a = -5a -30
then move the numbers around where you have a value times on one side, and a normal value on the other
add -5a to -8a, and add -21 to -30
the equation should look like this:
-13a = -51
then you need to get the a by itself, so divide -13 by -51
a= 13/51 (as a fraction with 13 on top)
0.736euros= 1us dollar
Answer:
0.86 United States Dollar
Step-by-step explanation:
HELP PLEASEEEEEE PLEASEEEEE PLEASEEEEEE
Hey there! I'm happy to help!
When evaluating the value of an expression, we need to follow the order of operations which is PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction).
First, we will evaluate the exponent. 3² is 3×3 which is 9.
[tex]\frac{9+2*8}{16-11}[/tex]
Now we have to do multiplication. Since the multiplication sign is between the 2 and the 8, that is what we multiply.
[tex]\frac{9+16}{16-11}[/tex]
Then we will do our addition and subtraction.
[tex]\frac{25}{5}[/tex]
Since all fractions are just division problems, we can do 25÷5.
25÷5=5
So, the value of this expression is 5.
Have a wonderful day and keep on learning! :D
solve: k/3+4-5k=-2k (LOOK AT PICTURE)
Complete the table to investigate dilations of exponential functions. Help please!
Answer:
Step-by-step explanation:
You simply need to substitute the numbers in the x column into the equations in the topmost row. The answers are the values of a, b, c, d, e, and f.
Look at the filled in cells.
In the x column, we have -2, and the topmost row we have [tex]2^x[/tex]. The answer is given as [tex]\frac{1}{4}[/tex]. This is because [tex]2^{-2} = \frac{1}{2^{2} } = \frac{1}{4}[/tex]
Repeat this for the values that you need to find.
if f(x)= 2(3x²-2x+2). Find:
A) f(x+1)
B) f(3)
C) f(y-2)
please help me out if you can
Answer:
180° is the measures of the supplement Step-by-step explanation:please click on starAnswer:
x=60°(Suppliment)
Put the above value =60°
second angle=120°
SEE the IMAGE FOR SOLUTION
I NEED HELP PLEASE HELP ME
Solve the equation 4(z−3)=2z9+22 using the balancing method.
z=
Answer:
z = 9
See my attachment below for step-by-step explanation.
any one solve these questions will mark brainliest the last three fast plz
(iii)
35+ x + 60 = 180
95 + x = 180
x = 180 – 95
x = 85
So; X = 85° ; < PON(iV)
x + 47 + 75 = 180
x + 122 = 180
x = 180 – 120
x = 58
So; x = 58° ; < COB(Vi)105 ° = 3 x° –> Opposite angles ,
x = 105 / 3
x = 35
3x = 3(35) = 105°
So; x = 35°Only the figure (V) I didn't know I'm sorry:(
I hope I helped you^_^
find the value of X ?
Step-by-step explanation:
[tex]thank \: you[/tex]
How did it get 683.8?
9514 1404 393
Explanation:
638.8 is the result of evaluating the expression ...
[tex]\dfrac{400}{\dfrac{1}{\tan^2{57^\circ}}+\dfrac{1}{\tan^2{68^\circ}}}\approx\dfrac{400}{\dfrac{1}{1.53986^2}+\dfrac{1}{2.47509^2}}=\dfrac{400}{0.42173+0.163237}\\\\\\=\dfrac{400}{0.584967}=683.799\approx\boxed{683.8}[/tex]
Any scientific or graphing calculator or spreadsheet can compute this for you. (You may need to be careful to set Degrees mode for the angles.)
The expression 14^6 divided by 14^4 is equal to
1. 14^2
2. 1
3. 2
4. 14^10
Answer:
1. 14^2. answer..yehshhd
Answer:
14 2
Step-by-step explanation:
correct.