The aspect ratio of a TV screen is the ratio of the horizontal length to the vertical height. If the TV has a diagonal of 100 cm and the aspect ratio is 4:3, then find the horizontal length and the vertical height of the TV screen.

Answers

Answer 1

Answer:

The horizontal length is 80 cm, and the vertical height is 60 cm.

Step-by-step explanation:

The aspect ratio is the ratio of the horizontal length to the vertical height.

We have a rectangle with sides 4 and 3. We can find the length of the diagonal.

We can use the Pythagorean theorem to find the length of the diagonal.

a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

c^2 = 25

c = 5

The diagonal is 5 in the ratio.

The ratio of the horizontal length to the vertical height to the diagonal is

4:3:5

We multiply all the numbers in the ratio by the same unknown, x.

A ratio of 4:3:5 is the same as a ratio of 4x:3x:5x.

We are told that the diagonal is 100 cm, so we have

4x : 3x : 100,

but we already had a ratio of

4x : 3x : 5x, so

5x = 100, and we can find x.

5x = 100

Divide both sides by 5.

x = 20

Since x = 20, then the horizontal length 4x = 4(20) = 80,

and the vertical height 3x = 3(20) = 60

Answer: The horizontal length is 80 cm, and the vertical height is 60 cm.

Answer 2

Answer:

horizontal length=80, vertical length=60

Step-by-step explanation:

a^2 + b^2 = c^2

the tv is a 3:4:5 right triangle

the ratio is then changed from

3:4:5

to

60:80:100

because 100/5 = 20

so you multiply the original ratio by 20

(because the length of 100 that we are given is the hypotenuse of the triangle(diagonal of the tv))

Therefore,

the horizontal length is 80

the vertical lengt is 60

The Aspect Ratio Of A TV Screen Is The Ratio Of The Horizontal Length To The Vertical Height. If The

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First 5 terms of 2n^2+4.
Please help!

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Answer: 16

Step-by-step explanation:

help please PT is the angle bisector of RPS. Find the measure of each indicated angle.
angle: TPS
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Answers

Answer:

tps is 37 and rps is 74. i hope this helps

in ∆ABC if <A=56°<=68° find <b plss helpp​

Answers

I'm assuming you mean that <C=68 degrees.

Now we know that the interior angle of a triangle adds up to 180 degrees.

We just need to subtract the 2 already known angles from it.

180 degrees-56 degrees-68 degrees=180 degrees-124 degrees=56 degrees.

Done!

<B=56 degrees.

Any questions you can ask in the comments, also something to look out for always capitalize your letter when you are writing angles :)!

whats x equal show work​

Answers

Answer:

1.71

................

Find RSQ and TSQ I will Brainliest

Answers

RSQ = 32
TSQ = 58
X = 5

Hope this helps!!!!

Answer:

Hey there!

15x-43+8x+18=90

23x-25=90

23x=115

x=5

RSQ=15(5)-43, or 32

TSQ=8x+18, or 58

Let me know if this helps :)

Step-by-step explanation:

What is the GCF of 15k^3 and 3k^2

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Answer:

Step-by-step explanation:

GCF: 3k^2

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2

Step-by-step explanation:

180 - (105 +37) = 38

38/19 = 2

I need help with this is the last question

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The answer is 360.

Hope this helps

Answer:

84 ft2

Step-by-step explanation:

mitochondria is the powerhouse of a cell

HELPPPPPPPPP I HATE MATH
2 QUESTIONS!!!!!!!!!!!!
14 points
FIRST ONE
|6| - (-14)
SECOND ONE
|-18| + 58
HELPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!! AND HURYYYYYY PLSSSSSSSSSSSSSS

Answers

Answer:

1. 20 2. 76

Step-by-step explanation:

Answer:

1. -8, 2. 76

Step-by-step explanation:

1. |6| - (-14) it is asking for the absolute number which is 6

is it should be

6 - (-14)

you just add the 6 to the negative 14 because the 6 is positive.

is the answer is -8

2. |-18| + 58 = 18 + 58=

76

NEED HELP FAST THE QUESTION IS: Enter a number into the box so that the equation will have an infinite number of solutions.

Ecuation:4x-8=4x+(THE ANSWER GOES HERE AND THE WRIGHT ANSWER WILL GET BRAINLY.)

Answers

Answer:

-8

Step-by-step explanation:

Neil tried to rewrite the expression 5^-6/5^-4

5^-6/5^-4
=
5^-6-(-4) Step 1

5^-2 Step 2

1/5^2 Step 3

Did Neil make a mistake? If so, in which step?

Answers

Answer:

0.04

is what the answer should be

Step-by-step explanation:

what is the answer to -4(2d+3)+2(-d+4)?

Answers

Answer:

-10d-4

Step-by-step explanation:

Well, you're in luck because I LOVE distributive property!!!

-4(2d+3) Multiply -4 by 2d to get -8d, and multiply -4 by 3 for -12, so the result would be -8d-12!

Then, 2(-d+4) and therefore 2 times -d (you can just say -1d) to get -2d and 2*4 would be 8 to make -2d+8!

Now you combine them: -8d-12+-2d+8

Combine like terms!

-10d-4 would be your answer.

4x+4y=-12
2x+4y=6
I am studying math and I i don’t know how to answer this question

Answers

Answer:

X = -y -3

X= -2y + 3   (if correct, please mark brainliest. :))

Step-by-step explanation:

Consider function f.

Answers

(Infinity,4)
Hope that helps

A right triangle has one side that is 6 inches long and a second side that is 8 inches long, what is the length of the hypotenuse?

HELP ME OUT PLEASE

Answers

Answer:

10

Step-by-step explanation:

6^2+8^2=c^2 (c is the hypotenous)

100=c^2

c=10

a^2+b^2=c^2
[^2= squared]

Plug in your numbers.

6^2+8^2=c^2

36+64=c^2

100=c^2

10=c


consider the triangle graphed below. classify it by its angles
A) acute
B) obtuse
C)equiangular
D)right

Answers

Correct answer is RIGHT Bc it has a right angle

1) 1/4 divided by 4.

2) 8 divided by 1/3.

Show or explain your work.

Answers

Step-by-step explanation:

1/4 divided by 4 = 1/4 x 1/4 = 1/16

8 divided by 1/3=8 x 3 = 24

Step-by-step explanation:

1/4 divided by 4 = 1/4 x 1/4 = 1/16

8 divided by 1/3=8 x 3 = 24

4x^2-36 correct factorization

Answers

Answer:

4 (x + 3) (x - 3)

Step-by-step explanation:

(5 x 10,000) + (3 x 1,000) + (6 x 100) + (4 x 10) + (3 x 1) + (0.9) + (0.05)

Answers

Answer:

I highlighted the answer for you hun!

Step-by-step explanation:


PLS HELP * 12 POINTS* I WILL MARK BRAINLIEST

Answers

Answer:

1.45

2.61

3.33

4.108

5.98

6.82

7.52

8.142

9.36

10.64

Step-by-step explanation:

Use rule that a straight line is 180 and a right angle is 90

Mr. Lyle made a round trip between two cities that were 450 kilometers apart. On the return trip, he increased his average of rate travel by 5 km/h and made the trip in one hour less. Find his rate for each direction.

Answers

Answer:

45 km/h

50 km/h

Step-by-step explanation:

Distance traveled in one way = 450 km

Let x = Velocity when he was going to his destination in km/h

He traveled 5 km/h faster when he returned so his velocity was [tex]x+5[/tex]

It took him 1 hour less when he returned so

[tex]\dfrac{450}{x}-\dfrac{450}{x+5}=1\\\Rightarrow x^2+5x-2250=0\\\Rightarrow x=\frac{-5\pm \sqrt{5^2-4\times 1\times \left(-2250\right)}}{2\times 1}\\\Rightarrow x=45,-50[/tex]

So, velocity while going to his destination is 45 km/h

While returning his velocity was 45+5 = 50 km/h.

Evaluate 8p +3q-188p+3q−188, p, plus, 3, q, minus, 18 when p=\dfrac12p= 2 1 ​ p, equals, start fraction, 1, divided by, 2, end fraction and q=7q=7q, equals, 7.

Answers

Given:

The expression is

[tex]8p+3q-18[/tex]

To find:

The value of the expression when [tex]p=\dfrac{1}{2}[/tex] and [tex]q=7[/tex].

Solution:

We have,

[tex]8p+3q-18[/tex]

Putting [tex]p=\dfrac{1}{2}[/tex] and [tex]q=7[/tex], we get

[tex]8(\dfrac{1}{2})+3(7)-18[/tex]

[tex]=4+21-18[/tex]

[tex]=7[/tex]

Therefore, the value of the expression is 7 when [tex]p=\dfrac{1}{2}[/tex] and [tex]q=7[/tex].

Answer: 7

Step-by-step explanation:

Please help will give Brain

Answers

Answer:

they are not similar because none of the sides have similar ratios

Step-by-step explanation:

12/1 doesnt equal 24/4

Answer:

I believe the answer would be B.....I'm, not 100% sure tho but that's what I'm going with and if you get this wrong because of me then I'm terribly sorry.   :(

Step-by-step explanation:

u dont need an explination do you?

5
Write the equation of the line in slope intercept form given the following:
Slope
intercept (0, -8)
1
5
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Answer:

2388732er

Step-by-step explanation:

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{(2,4),(7,-9),(1,4),(3, -6), (8,0)}

Answers

Answer:

Domain: (2,7,1,3,8) Range: (4,-9,-6,0)

Step-by-step explanation:

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y>5/3x−3

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Answers

the slope answer is y=5/3x-3 if that’s what your asking

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Answers

Answer:

1000 times greater

Step-by-step explanation:

00,060   vs  60,000 how many times does it move? there's your answer.

Joanna made a table and a graph for the equation y = 2x.
Did Joanna make these items correctly? Select the true statement.

A.The graph is correct, but the table is not.
B.Both are correct
C.Both are incorrect.
D.The table is correct, but the graph is not.

Answers

b. both r correct

when it’s 2x it goes up two over one. rise/run, 2/1
for the table if you look at the graph when x=1 then y=2 and if x=2 then y=4

Answer:

B

Step-by-step explanation:

Please please help will give Brain!!

Answers

Answer:

its the last one

Step-by-step explanation:

what is the y-intercept in the equation y=2x+5​

Answers

Answer:

y intercept=5

Step-by-step explanation:

to find Y intercept substitute the value of x as 0

Answer:

the y intercept is 5

Step-by-step explanation:

slope = mx + b

in your case:

y = slope

2x = mx

5 = y intercept

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