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prohojiy [21]
3 years ago
6

The aspect ratio of a TV screen is the ratio of the width to the height of the image. A regular TV has an aspect ratio of 16: 9.

Find the height and width of a 51-inch TV screen to the nearest tenth of an inch. (The measure given is the length of the diagonal across the screen.)
Mathematics
1 answer:
ki77a [65]3 years ago
7 0

Answer:

Width = 44.45 inches

Height = 25.00 inches

Step-by-step explanation:

(16x)^2 + (9x)^2 = 51^2

256x^2 + 81x^2 = 2601

337x^2 = 2601

x^2 = 7.718

x = 2.778

Width = 44.45 inches

Height = 25.00 inches

I think this is right

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Help quiz question!!!
SVEN [57.7K]

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Step-by-step explanation:

254.47+47.12389=301.59389

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Solve on the interval [0/2pi]<br><br> 1-cos(theta) = (1/2)
Airida [17]

Answer:

Final answer is x=\frac{\pi}{3} and x=\frac{5\pi}{3}.

Step-by-step explanation:

Given equation is 1-\cos\left(\theta\right)=\frac{1}{2}

Now we need to find the solution of  1-\cos\left(\theta\right)=\frac{1}{2} in given interval [0, 2\pi ].

1-\cos\left(\theta\right)=\frac{1}{2}

-\cos\left(\theta\right)=\frac{1}{2}-1

-\cos\left(\theta\right)=-\frac{1}{2}

\cos\left(\theta\right)=\frac{1}{2}

which gives x=\frac{\pi}{3} and x=\frac{5\pi}{3} in the given interval.

Hence final answer is x=\frac{\pi}{3} and x=\frac{5\pi}{3}.

6 0
3 years ago
Yolanda writes checks for $59 and $43. She also deposits$50 in her checking account. What integer represents the change in the n
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7 0
3 years ago
(Constructed Response) Determine whether the binomial, 9x² - 49, is a difference of
vovikov84 [41]

Answer: It is a difference of two squares, and it factors to (3x-7)(3x+7)

=============================================================

Explanation:

We can write the 9x^2 as (3x)^2 since

(3x)^2 = (3x)*(3x) = (3*3)*(x*x) = 9x^2

The 49 can be written as 7^2 because 7^2 = 7*7 = 49.

This means 9x^2 - 49 is the same as (3x)^2 - 7^2. We have a difference of two squares.

The difference of squares factoring rule is

a^2 - b^2 = (a-b)(a+b)

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So,

a^2 - b^2 = (a-b)(a+b)

(3x)^2 - 7^2 = (3x-7)(3x+7)

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Side note: This is the same as (3x+7)(3x-7). We can multiply two numbers in any order.

8 0
3 years ago
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