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Irina-Kira [14]
3 years ago
6

The size of a television is given by the length ofthe diagonal of the screen. the ratio of the height to the width of wide flat-

screen tv is 8:15. find expressions for the width and height of a wide-screen tv in terms of the length of its diagonal.\
Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0
Using the ratios,
suppose:
width=8x
length=15x
let d be the diagonal
thus; using Pythagorean theorem:
d^2=(8x)^2+(15x)^2
=64x^2+225x^2
=289x^2
d=17x

or x=d/17

width=8x=8d/17
length=15x=15d/17

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The sum of five consecutive numbers is 700, what is the first number?
Feliz [49]

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be <em>x.</em>

<em />

Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).

We are given that their sum is 700. Therefore:

x+(x+1)+(x+2)+(x+3)+(x+4)=700

Solve for <em>x</em>. Combine like terms:

5x+10=700

Subtract 10 from both sides:

5x=690

Divide both sides by five. Therefore:

x=138

The first number is 138.

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3 years ago
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4 years ago
The Great Pyramid of Giza has an approximate height of 252 yards, and the square base has side lengths of approximately 152 yard
cestrela7 [59]

Answer:

b/38,304

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3 0
3 years ago
Is this correct?!!! Pls help
Alex17521 [72]

7 - 5n = 42

- 5n = 35

n =  - 7

Since a negative times a positive makes a negative you can change your equation to 7 - 5n=42. You can now subtract 7 from both sides to get -5n = 35. Next get divide -5 on both sides giving you n = -7.

5 0
3 years ago
Jackson high school accepted 11 more transfer students last year than Adams High. Combined, the two schools accepted 123 transfe
beks73 [17]

Let x be the number of transfers accepted by Adams High.

The number of transfers accepted by Jackson high school is 11 more than Adams High's, so it's x+11

The two schools, combined, accepted x+x+11=2x+11 transfers. We know that this number is 123, so we have

2x+11=123 \iff 2x = 112 \iff x = 56

So, Adams High accepted 56 transfers, and Jackson high school accepted 56 + 11 = 67 transfers

8 0
3 years ago
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