Hi
Let call X the origninal price.
if it rose of 20 % , it's mean that it' be multiplicate by 1.20
so :
X*1,2 = 25.8
1.2X=25.8
As math is all about method and training, I let you have a try and resolve the equation. If you do not know how, ask in comments section.
A movie with an aspect ratio of 1.85:1 is shown as a letterboxed image on a newer 50-inch 16:9 television. Calculate the height of the image, the height of each barely visible 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.
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
can you figure out what 2x° equals and (90-x)°
I HOPE IT WILL HELP YOU.
Have a great day ahead.
PL help meeeeeee!!! Im stuck
The LCM of two numbers is 352
The HCF of the numbers is 4.
One of the numbers is 44.
Find the other number.
Answer:
Let the other number be
′
x
′
Given:LCM+HCF=600
⇒14HCF+HCF=600
⇒15HCF=600
⇒HCF=40
⇒LCM=14×40=560
Since HCFxLCM=Product of 2 numbers
=>40×560 = 280×x
⇒x=
280
40×560
⇒x=40×2
⇒x=80
hence the other number is 80.
Anyone know how to do this ( pls show work) pls help me
Answer:
Step-by-step explanation:
Temperature at 5 am = -7° F
Temperature at 9 am = 4° F
Temperature at 11 am =4 + 3.5 * 4 = 4 + 14 = 18° F
Total increase = 18 - (-4) = 18 + 4 = 22° F
Imran can row at 3 m/s against the current and at 6 m/s with the current. Find the speed of the current.
komhnyrtgfdedavfbfsfb
How to do this? Please help
Step-by-step explanation:
This equations are quadratic equations, which is on standard form,
[tex] {ax}^{2} + bx + c[/tex]
where a is the leading coefficient, b is the second coefficient, and c is the constant.
Both a and b are in quadratic equation so we need to find the constant separately.
Both sides are equal to zero so we can just subtract the terms not containing a or b in them to the opposite side.
[tex] {x}^{2} - 4 x + a = 0[/tex]
[tex] {x}^{2} + a = 4x[/tex]
[tex]a = - {x}^{2} + 4x[/tex]
For b,
[tex]2 {x}^{2} - 6x + b + 7 = 0[/tex]
[tex] - 6x + b + 7 = - 2 {x}^{2} [/tex]
[tex]b + 7 = - 2 {x}^{2} + 6x[/tex]
[tex]b = - 2 {x}^{2} + 6x - 7[/tex]
Find the slope and y intercept
(Please show work)
Answer:
slope = - 6, y- intercept = 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
0 = 2x - [tex]\frac{5}{3}[/tex] + [tex]\frac{1}{3}[/tex] y ( multiply through by 3 to clear the fractions )
0 = 6x - 5 + y ( subtract 6x - 5 from both sides )
- 6x + 5 = y , that is
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6 and y- intercept c = 5
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 gallons of water left over, about how much water did he use for lettuce?
Answer:
7/8
Step-by-step explanation:
1/4 + 5/8 = 2/8 + 5/8 = 7/8
= amount used for pepper and tomatoes
2 1/2 - 3/4 = 5/2-3/4 = 10/4 -3/4 = 7/4
= total amount used
so
7/4 - 7/8 = 14/8 - 7/8 = 7/8 for lettuce
Is the image an example of a ray?
B
A
O Yes; AB has an endpoint and continues in one direction forever.
O Yes; AB is one-dimensional.
O No; AB continues forever in both directions.
O No; AB has two endpoints.
Answer:
O No; AB has two endpoints.Step-by-step explanation:
Ray - a continuous line therefore, do not have two endpoints.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
AB is not a ray. It has two endpoints.
What is ray?"It is a part of a line that has a fixed starting point but no end point."
For given example,
We have been given a part of a line AB.
The starting point is A and the end point is B.
We know, one of the end of the ray is denoted by arrow.
Since both the ends of given figure are fixed, it is not ray.
AB is called as line segment.
Therefore, AB is not a ray. It has two endpoints.
Learn more about ray here:
https://brainly.com/question/17491571
#SPJ2
A toy manufacturer produces a set of blocks, with edge b, that can be used by children to build play structures. The production team is analyzing the amount of paint they need for a block
The expression for the total number of blocks is b³
This question seems to be incomplete. Here is the complete question :
A toy manufacturer produces a set of blocks that can be used by children to build play structures. The product packaging team is analyzing different arrangements for packaging their blocks. One idea they have is to arrange the blocks in the shape of a cube, with b blocks along one edge.
Write an expression representing the total number of blocks packaged in a cube measuring b blocks on one edge.
A cube is a 3-dimensional object that has six faces.
Characteristics of a cube
It has six faces It has twelve edges It has eight vertices Intersecting edges are perpendicularVolume of a cube = a³
Where a = length of a side
The expression that would be given is the volume of a cube. Since the length of the edge is b, the expression would be b³
To learn more about cubes, please check : https://brainly.com/question/11168779?referrer=searchResults
Evaluate (2-5i)(p+q) when p=2 and q=5i
Answer:
(2-5i)(p+q)
p=2
q=5i
(2-5i)(2+5i)
a²-b²=(a+b)(a-b)
2²-(5i)²
4-(5i)²
i²=-1
4+25=29
answer 29
Rational number between 3.623623 and 0.484848
Answer:
1
Step-by-step explanation:
A rational number between 3.623623 and 0.484848 is 1.
Answer:
Remember: rational numbers are numbers that can be written as fractions and decimals that either terminate or repeat. Here are some rational numbers:
0.5, 3/4, 1, 1.5...3, 3.5
Step-by-step explanation:
BRAINLIEST, PLEASE!
solve using substitution
y = 3x - 4
3x + y = -4
y= 3x –4
3x + y = –4
3x + (3x –4) = –4
3x+3x – 4 = – 4
6x = – 4 +4
6x=0 —> x= 0/6 —> x=0
x = 0y = 3x – 4 —> y = 3(0) – 4 = – 4
y = – 4So; (x , y) —> (0 , – 4 )I hope I helped you^_^
Answer:
(0,-4)
Step-by-step explanation:
3x + y = -4
3x + (3x - 4) = -4
3x + 3x - 4 = -4
6x = 0
x = 0
y = 3(0) - 4
y = -4
plz answer it plz
step by step plz
Answer:
answer is subtract the 180-120=80
Answer:
Y = 60[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
A sum of Rs 105 is divided into two parts.if two times the greater part is 15 less than three times the smaller part, find the parts of the sum.
Answer:
Step-by-step explanation:
Let the greater part = x
Smaller part = 105 - x
2*(greater part) = (3*smaller part) - 15
2*x = 3*(105 -x) - 15
Use distributive property
2x = 3*105 - 3*x - 15
2x = 315 - 3x - 15
2x = 300 - 3x
Add 3x to both sides
2x +3x = 300
5x = 300
Divide both sides by 5
x = 300/5
x =60
Smaller part = 105 - 60 = 45
Greater part = Rs. 60
Smaller part = Rs. 45
Which figure shows an example of symmetry?
A.
B.
C.
D.
-6, 20, 4.3, 159/-9
Order from least to greatest
Write a proportion for the situation, and then solve.
1. A test is worth 36 total points, and you want to get an 87% on it. How many
points do you need to score?
Jonathon can jog 2 2/7 miles in 2/8 hour. Find his average speed of miles per hour.
Answer:
9.14 miles an hour
Step-by-step explanation:
mr. Johnson the owner of the candy store keeps 37 jars behind the candy counter each jar contains 286 pieces of candy how many pieces of candy are behind the counter all together
Answer:
10,582 pieces of candy.
Step-by-step explanation:
1 jar contains 286 pieces
Therefore, 37 jars contain:
37 × 286
= 10,582 pieces of candy.
Answer:
10,582 pieces of candy behind the counter
Step-by-step explanation:
multiply 37 by 286 and you get 10,582
Is -1 1/6 rational? HURRY
Answer:
yes
Step-by-step explanation:
since it can be expressed as a fraction, it is rational
In 2003, the population of an African country was about 22.5 million people, which is 1 million more than
5 times the population in 1950.
Enter and solve an equation to find the approximate population p (in millions) in 1950.
An equation is
The approximate population in 1950 was
million people.
Answer:
Population of Africa in 2003 is 22.5 million
population of Africa in 1950 is 1 million - 22.5 million /5
21.5million / 5
21500000/5
4300000
4.3 million people
Given f(x) = 3x – 1, solve for x when f(x) = -7.
Answer:
x = -2
Step-by-step explanation:
Given f(x) = 3x – 1
f(x) = -7
3x-1 = -7
3x = -7+1
3x = -6
x = -2
Answer:
x = -22
Step-by-step explanation:
given:
[tex]f(x) = 3x - 1[/tex]
solve for x, when:
[tex]f(x) = -7[/tex]
replace x with -7
~~~~~~~~~~~~
➡️ [tex] x = 3(-7) - 1 [/tex]
➡️ [tex] x = -21 - 1 [/tex]
➡️ [tex]x = -22 [/tex]
What’s 9 2/3into as improper fraction .
Answer:
[tex]\frac{29}{3}[/tex]
Step-by-step explanation:
9*3+2
My question is in the picture attached below, thank you.
Ps: I need full explanations of the answers as said by the instructions. Thanks
The volume of a rectangular prism is the product of the prism's dimension (i.e. length, width and height). The dimension of the rectangular prism are:
[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]
Given that:
[tex]Volume = (18x^4 + 15x^3 - 12x^2)[/tex]
First, we factor out [tex]3x^2[/tex]
[tex]Volume = 3x^2 \times (6x^2 + 5x - 4)[/tex]
Expand
[tex]Volume = 3x^2 \times (6x^2 + 8x-3x - 4)[/tex]
Factorize
[tex]Volume = 3x^2 \times (2x(3x + 4) -1(3x + 4))[/tex]
Factor out [tex]3x + 4[/tex]
[tex]Volume = 3x^2 \times ((2x -1) (3x + 4))[/tex]
Rewrite as:
[tex]Volume = 3x^2 \times (2x -1) \times (3x + 4)[/tex]
The volume of a rectangular prism is:
[tex]Volume = Length \times Width \times Height[/tex]
So; by comparison:
[tex]Length = 3x^2\\ Width = 2x - 1\\ Height = 3x + 4[/tex]
Read more about polynomials and volumes at:
https://brainly.com/question/2141804
-8=x+ll/-2 solve for x step by step and answer
Answer:
x=(-5)/2
Step-by-step explanation:
-8×(-2)=-2x+11
16-11=(-2x)
x=(-5)/2
Write -0.450 as a fraction in simplest form.
Answer:
-0.450 as a fraction is -9/20
Step-by-step explanation:
Since there 3 decimal places, divide it by 1000
-450/1000 and simplify it
Evaluate the function.
f(x) = –22 +2
Find f(-1)
Answer:
Cant do this problem since there is no x variable. So the answer would be :
f(x) = -22+2
Step-by-step explanation:
A triangle has side lengths of (x-6), (x+2) and (x-9). Find the perimeter of the triangle
Answer:
3x - 13
Step-by-step explanation:
The perimeter is just the distance around the triangle. We have all three sides, so we can just add them together to get the total distance.
(x-6) + (x+2) + (x-9)
Group:
x + x + x - 6 + 2 - 9
3x - 13
