All categories

2 years ago

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

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.

You might be interested in

Easy brainliest for correct answer 100%

MakcuM [25]

Answer:

B) A/l

Step-by-step explanation:

Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other.

Divide l from both sides of the equation:

A = l * w

(A)/l = (l)/l * w

w = A/l

B) A/l is your answer.

7 0

3 years ago

Read 2 more answers

Jayden has been reading a 275275275-page book for english class. on average, he has read about 101010 pages in 151515 minutes (\

Vitek1552 [10]

<span>75 pages.
OK. Lots of copying errors here. I'll be using 275 page book, reading 10 pages per 15 minutes, skimming 15 pages per 10 minutes, 5 hours and 50 minutes to complete the book.
To make things easier, first convert the time to just minutes. So 5 * 60 + 50 = 300 + 50 = 350 minutes.

Now let's use the variable X for the number of minutes spent skimming and (350-X) for the number of minutes spent reading.
X * 15/10 + (350 - X)*10/15 = 275

Solve for X.
X * 15/10 + (350 - X)*10/15 = 275
X * 15/10 + 350*10/15 - X*10/15 = 275
X * 15/10 - X*10/15 = 275 - 350*10/15
X(15/10 - 10/15) = 275 - 3500/15
X(45/30 - 20/30) = 825/3 - 700/3
X(25/30) = 125/3
X = 125/3 * 30/25 = 125/1 * 10/25 = 5/1 * 10/1 = 50/1 = 50
So Jayden spent 50 minutes skimming. And at the rate of 15 pages every 10 minutes, he skimmed 50*15/10 = 750/10 = 75 pages.</span>

7 0

3 years ago

A firecracker shoots up from a hill 160 feet high, with an initial speed of 90 feet per second. Using the formula H(t) = −16t2 +

Masja [62]

When the firecracker hits the ground, H(t) = 0.0 = -16t^2 + 90t + 160 Using the quadratic formula,t = (-90 +- sqrt(90^2 - 4(-16)(160))) / 2(-16)t = -1.42 ort = 7.04

The negative time is extraneous. Therefore,t = 7.04 s.

Seven Seconds is your answer!

3 0

3 years ago

Read 2 more answers

Noah and his children went into a grocery store and where they sell apples for $1

Black_prince [1.1K]

Answer:

Step-by-step explanation:

Since Noah has decided to buy 4 apples, that means he has decided to spend $4 on apples. Deducting that from $20, you are left with $16. Divide this total by the cost of each mango, $2, and you get the result as 8 mangos.

4 0

3 years ago

Help me <br> Please this is due tmr and idk how to do. This

jolli1 [7]

For question 4 the Y needs to be by itself. So instead of it being x+2y>/-12 it would be y>/-6+x. You would have to subtract x on both sides and then divide 2 on both sides as well. whatever you do on one side, you have to do it on the other side. Hope this helps. After you redo all the equations, you graph them. If you need anymore help , let me know!

4 0

3 years ago