Answers
Answer:
a) We have an aspect ratio of 4:3
This means that the width of the screen, W, is about 4/3 times the height of the screen, H.
Then we have the equation:
W = (4/3)*H
And the diagonal of a rectangle with width W and height H is:
D = √(W^2 + H^2)
Then if we have a 15 in TV, then we have D = 15 in.
Then we have:
15 in = √(W^2 + H^2)
Now we can use the relation W = (4/3)*H and replace this in the above equation:
15 in = √(((4/3)*H)^2 + H^2)
Now we can solve this for H:
15in = √( (16/9)*H^2 + H^2)
(15in)^2 = (16/9)*H^2 + (9/9)*H^2 = (25/9)*H^2
(9/25)*(15in)^2 = H^2
√( (9/25)*(15in)^2) = H
(3/5)*(15in) = H = 9 in
The height is 9 inches, and the width will be:
W = (4/3)*9in = 12in.
Now let's do the same for a 42 in tv.
We can use the same equation than before, this time we get:
42 in = √(((4/3)*H)^2 + H^2)
We can do the exact same procedure as before, and we will get:
(3/5)*(42in) = H = 25.2 in
Then the width is
W = (4/3)*H = (4/3)*25.2in = 33.6 in
b) Now we do the same, but now we have the relation:
W = (16/9)*H
Then if D is the diagonal, we have the equation:
D = √(W^2 + H^2) = √( ((16/9)*H)^2 + H^2)
This time we can simplify it for any general D.
D^2 = (16/9)^2*H^2 + H^2
D^2 = (256/81)*H^2 + H^2 = (256/81)*H^2 + (81/81)*H^2
D^2 = (337/81)*H^2
(81/337)*D^2 = H^2
√( (81/337)*D^2) = H
(9/18.36)*D = H
Then if we have a 42 in TV, the height is:
(9/18.36)*42in = H = 20.59 in
And the width will be:
W = (16/9)*H = (16/9)*20.59in = 36.60 in
If we have a 60 in TV, we get:
(9/18.36)*60in = H = 29.41 in
And the width will be:
W = (16/9)*H = (16/9)*29.41in = 52.29 in
c) if all the aspect ratios are always exactly 16:9, then no, the width and height should be exactly the same for all the TV with that ratio.
Related Questions
Find the volume of the cylinder if the radius is 4.5cm and the height is 8cm. Use 3.14 for TT
Answers
Answer:
508.68cm²
Step-by-step explanation:
Volume of a cylinder = πr²h
given r=4.5 cm h =8cm and π=3.14
so volume=
3.14×4.5×4.5×8
=508.68cm²
8x=63-x what is the solution?
Answers
Answer:
X = 7. You can confirm the answer yourself by plugging in this number. I hope I helped :)
Step-by-step explanation:
Please mark as brainliest.A. X = -6 and X = -5.5
B. x = -0.5 and x = -5
C. X = 0 and x = 5
D. X = 5 and x = 6
Answers
Answer:
Step-by-step explanation:
The roots are the x-intercepts, 5 and 6.
Plsss help me!!!Mei graphed the locations of several places in her town on the coordinate plane shown below. There is also
an ice cream shop halfway between the school and hospital.
At what coordinates should Mei graph the ice cream shop?
Answers
Answer:
(6, -4)? is this on khan academy or smth
Step-by-step explanation:
Can anybody help me with this please
Answers
C
what is the probability that the red shows a six or the green die shows a six?
Answers
Answer:
11/36
Step-by-step explanation:
how many years will it.take 10,000 to grow 17,800 if it is invested at 2.50% compounded continuously
Answers
Answer:
just about 24 years
Step-by-step explanation:
Why do ratios change?
Answers
Answer:
Generally, your current ratio shows the ability of your business to generate cash to meet its short-term obligations. A decline in this ratio can be attributable to an increase in short-term debt, a decrease in current assets, or a combination of both.
Sometimes, a low current ratio could suggest problems with inventory management, ineffective or lax standards for collecting receivables, or an excessive cash burn rate. Increases in the current ratio over time may indicate a company is "growing into" its capacity (while a decreasing ratio may indicate the opposite).
25 less than 4 times a number is 47. What is the number?
Answers
Answer:
18
Step-by-step explanation:
25 + 47 = 72
72 ÷ 4 = 18
The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is 35 minutes and costs $5.25. Which show would give you more for your money?
Answers
Answer:
35 minutes
Step-by-step explanation:
The carnival offers two magic shows
The morning show is for 20 mintes at $3.75
= 3.75/20
= 0.1875
The afternoon show is for 35 minutes at $5.25
= 5.25/35
= 0.15
Hence you pay a lesser amount for 35 minutes
Solve the Antiderivative.
Answers
∫ -------------------- dx
x² + 6x + 10
1
∫ -------------------- dx
(x+3)² + 1
Let t = x + 3
dt = dx
1
∫ -------------------- dt
t²+1
1/1 arctan(t/1)
1/1 arctan (x+3 / 1)
=arctan(x+3) + C
ANSWER ASAP I WILL GIVE BRAINLIST
Answers
Answer:
its upside down
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST
Answer:
-2/x²-1
Step-by-step explanation:
p(x)-q(x)
(1/x+1) - (1/x-1)
(x-1)/((x+1)(x-1)) - (x+1)/((x+1)(x-1))
x-1-x-1 / x²-1
-2/x²-1
15 POINTS!!
Graph the equation. y=2(x-4)^2+5
Answers
Answer:
Step-by-step explanation:
Answer:
It's a parabola opening up from the vertex (4,5) and intercepts the y-axis at (0,37)
Write an equation of the line that passes through the pair of points.
(-4. - 2). (4.0)
Answers
First find the slope between the 2 points
0--2/4--4
=2/8
=1/4
Then y=1/4 x+b
Now substitute one pair of x and y into the equation
0=1/4*4+b
b=-1
So y=1/4x-1
Done!
the nth term of a sequence is given by an²+bn where a and b are integers the 2nd term of the sequence is 2 4th term of the sequence is 20. find the 6th term of the sequence
Answers
Answer:
54
Step-by-step explanation:
Tn = an²+bn
T2 = a2²+2b
2 = 4a +2b
Multiply all through by 2
4 = 8a +4b
4b = 4-8a
T4 = a4² + 4b
20 = 16a +4b
4b = 20-16a
4-8a = 20-16a
16a -8a = 20-4
8a = 16
a = 16/8 = 2
4b = 4-8a = 4-8(2) = 4-16 = -12
b = -12/4 = -3
T6 = a6² + 6b
T6 = 2(36) + 6(-3) = 72 -18 = 54
Answer:
54
Step-by-step explanation:
One last stop before you head home. You and your friends are worn out, but you can’t help but stop for a candy apple to eat on the ride home from Snack Centra. Yum! You would like to take some home to your family, so what’s the best deal? You can purchase 5 apples for $6.25 or 8 apples for $9.25. What’s the best way to spend your last few bucks?
Answers
Answer:
the 8 for 9.25
Step-by-step explanation:
that is the best deal because 1.25 dollars per apple for for the 5 apples for 6.25 dollars rather than 1.15 dollars per apple for the 8 apples for 9.25 dollars so therfore 8 for 9.15 is overall a better for the price per apple
Starbucks opened two new locations. Location A costed $800 to open but makes $100 a month. Location B costed $1200 to open but makes $200 a month. Determine how long it will take for the locations to have made the same amount after paying off their costs and how much that amount is. *
Answers
Answer:
I think it is A that will take longer but im not 100 percent sure
Step-by-step explanation:
First write an equation:
Location A- 800+100x
Location B- 1200+200x
Then you need to plug numbers in for x
What is the correct factorization of -3x^2+16x+35
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
−(3x^2+5x−21x−35)
−(x(3x+5)−7(3x+5))
−(3x+5)(x−7)
Evaluate the expression when c=5 and d=7.
c+6d
Help!!!!
Answers
Answer:
47
Step-by-step explanation:
substitute the value of 5 in for c and 7 in for d;
(5) + 6(7)
5 + 42
47
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 50 POINTS !! DONT SKIP :((.
Answers
Answer:
Step-by-step explanation:
m= 25 and b= 450
y= 25x+450
I believe proportional
positive slope
please correct me if I am wrong
The volume of a pyramid with a square base is given by the expression sh, where s is the length of a side of the base and his the height Find the volume of a pyramid with a square base of side length 24 feet and a height of 30 feet
Answers
Answer:
v=l×b=
l=24
h=30
v=24×30=
54
v=54.
What is 2/3 divided by 5
Answers
Answer: Hey here’s your answer: 2/3 divided by 5=2/15
Hth
Step-by-step explanation:
Answer:
2/15 is ur answer
Step-by-step explanation:
2/3 ÷ 5
2/3 x 1/5
2/15
HELP HOW DO I FIND THE VALUE OF X
Answers
9514 1404 393
Answer:
7. 118
8. 27
Step-by-step explanation:
Make use of the fact that the sum of angles in a triangle is always 180°.
__
7. 33 + 29 + x = 180 . . . . . numbers in degrees
x = 180 -62 . . . . . . . . . . . subtract 62 from both sides of the equation
x = 118
__
8. 21 +x + 132 = 180
x = 180 -153 . . . . . . . subtract 153
x = 27
find x and round to the nearest tenth:)
Answers
Answer:
x = 31.8°
Step-by-step explanation:
Applying the Law of Sines, we have:
[tex] \frac{sin(x)}{12} = \frac{sin(75)}{22} [/tex]
Multiply both sides by 12
[tex] \frac{sin(x)}{12} \times 12 = \frac{sin(75)}{22} \times 12 [/tex]
[tex] sin(x) = \frac{sin(75) \times 12}{22} [/tex]
[tex] sin(x) = 0.5269 [/tex]
[tex] x = sin^{-1}(0.5269) [/tex]
x = 31.8° (nearest tenth)
What is the sum of the measures of the exterior angles of a 32-gon. A. 180° B. 360° C. 148° D.5400°
Answers
the sum of the measures of the exterior angles of a 32-gon is d. 5400
Please help me I can’t figure out how to solve
Answers
Answer: The answer is 20
Step-by-step explanation:
x-9.5=10.5
+9.5 +9.5
10.5+9.5=20
20-9.5=10.5
I hope this helps if so please mark brainliest
The points (-16, 12) and (-29, 10) form a line segment.
Write down the midpoint of the line segment.
Answers
Midpoint Definition: The point where a line is perfectly split in half
Coordinates exist in the form of ( x, y )
Generally, you find the midpoint by adding up the two numbers and dividing the sum by 2.
In other words,
Midpoint = ( [tex]\frac{x1+x2}{2} , \frac{y1+y2}{2}[/tex] )
You should get ( -22.5, 11 ) as your answer.
Are 2.r = 4 and 4x + 5 = 13 equivalent?
Answers
Answer:
Yes, they are equivalent.
Step-by-step explanation:
2r = 4, r = 2. We get this because 4/2 = 2.
4x+5 = 13. Subtract 5 from both sides and we'll get 4x=8. Now divide 8/4 = 2.
So we get 2 = 2, which means that the expressions are equivalent.
A basketball and a pump cost $31. If the basketball costs three times as much as the pump, how much does each item cost?
Answers
Answer:
7.75
Step-by-step explanation:
31 divided by 4= 7.75
APPLICATIONS
LINE RELATIONSHIPS Think of each segment in the diagram as part of a
line. Fill in the blank with parallel, skew, or perpendicular.
10. DE, AB, and GC
С
DĖ and BE are 2
A А
12. BE and GC
13. Plane GAD and plane CBE are
D
E
are
11.
B В
are
Answers
Answer:bb
Step-by-step explanation:
