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lora16 [44]
2 years ago
7

Find the width and heigth of a newer 47-inch television whose screen has an aspect ratio of 4:3

Mathematics
1 answer:
LuckyWell [14K]2 years ago
8 0

Answer:

  • width: 37.6 in
  • height: 28.2 in
  • area: 1060.32 in²

Step-by-step explanation:

The measurement used to describe a television is the length of its diagonal. The relation between the width, height, and diagonal is described by the Pythagorean theorem.

<h3>Diagonal units</h3>

The Pythagorean theorem tells us the relation between the sides of a right triangle and its hypotenuse. The diagonal of a rectangle is the hypotenuse of a right triangle whose sides are the width and height of the rectangle. If 'c' is the number of "ratio units" in the diagonal, we have ...

  4² +3² = c²

  c = √(16 +9) = 5

The diagonal of the screen is 5 ratio units, so the width is 4/5 of the length of the diagonal, and the height is 3/5 the length of the diagonal.

<h3>Screen dimensions</h3>

The width is ...

  (4/5)(47 in) = 37.6 in . . . width

The height is ...

  (3/5)(47 in) = 28.2 in . . . height

<h3>Area</h3>

The area is the product of the width and height:

  A = WH = (37.6 in)(28.2 in) = 1060.32 in²

The area of the screen is 1060.32 square inches.

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<h3>Jalen can decide a yellow car in 6 possible ways.</h3>

Step-by-step explanation:

The total number of options in Model  = 3

{Compact, Luxury, Sport}  

The total number of options in Transmission  = 2

{Automatic, Manual }

The total number of options in color  = 4

{Red, Blue, Black, Yellow }

The color he has decided is <u>YELLOW.</u>

<u></u>

So, the total number of options in model is 3 and transmission is 2.

⇒ The number of ways that can be decided  = 3 x 2  = 6 ways

So Jalen can decide a yellow car in 6 possible ways.

3 0
3 years ago
(NEED HELP ASAP)
Mumz [18]
*The missing image is attached with the answer*

The correct answer is: Height = h =5 units

Explanation:
a = 6 = Smaller base
b = 10 = Larger base
h = height

Area = A = (a + b)h/2 = 40

Plug in the values in the above equation:
h = (2*40)/(6+10)
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4 0
3 years ago
Read 2 more answers
Use the "at least once" rule to find the probability of getting at least one 2 in four rolls of a single fair die.
Alexandra [31]

Answer:

Probability of getting at least one 2 equals 0.5177

Step-by-step explanation:

The probability of at least one success is

P=1-(1-p)^{n}

where,

'p' is probability of success of 1 trail

'n' is number of events

We have probability of getting 2 is 1/6 thus 'p' = 1/6

Applying values we get

P=1-(1-\frac{1}{6})^{4}\\\\P= 0.51177

8 0
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What is the solution to 5(m - 2) – 10 = 6+2(1 - m)?<br> Enter your answer in the box.<br> m =
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Answer:

m = 4

Step-by-step explanation:

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Nina [5.8K]

Answer:

The quotient of x and 11.

Step-by-step explanation:

Given:

\frac{x}{11}

Required:

Write the expression in words

Solution:

In the expression given, we have the numerator which is the dividend (x), and the denominator which is the divisor (8).

So, we are dividing x into 8 parts.

A quotient is the result you get when you divide the dividend by the divisor.

✅In describing the expression in words, we would use the following phrase:

The quotient of x and 11.

The dividend is mentioned first before the dividend.

8 0
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