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valina [46]
4 years ago
9

A certain television is advertised as a 26 inch TV (the diagonal length). If the width of the TV is 10 inches, how many inches t

all is a TV?
Mathematics
1 answer:
emmainna [20.7K]4 years ago
7 0

Answer: The TV is 24 inches tall

Step-by-step explanation: The question has provided the diagonal and the width of the rectangle shaped television. From this bit of information, we can deduce that the diagonal of the rectangle (television) is also the Hypotenuse (26 inches) while the the other two sides are the Length and the Width (10 inches).

For every right angled triangle, we can apply the Pythagoras theorem to solve for any unknown side. The theorem states that

AC² = BC² + AB²

Where AC is the hypotenuse (longest side)

26² = 10² + AB²

676 = 100 + AB²

Subtract 100 from both sides of the equation

576 = AB²

Add the square root sign to both sides of the equation

√576 = √AB²

24 = AB

Therefore, the height of the television is 24 inches

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kramer
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3 years ago
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The number of games, g, to be played with n teams can be written by the following equation: g=n^2-n if there are to be 132 games
Tema [17]
The equation that describes the relation between the number of games (g) and the number of teams (n) is given as follows:
g = n^2 - n

Now, we are given that the number of games is 132. This means that g=132. To know the number of teams, substitute with the given g in the given equation as follows:
g = n^2 - n
132 = n^2 - n
n^2 - n - 132 = 0 .......> factorize this expression
(n-12)(n-11) = 0
This means that:
either n = 12 teams
Or n = -11 teams (this solution is rejected as the number of teams cannot be negative)

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3 0
3 years ago
Write an equation in slope-intercept form for the line passing through the following pair of points: (2, -6), -4, 3).
saveliy_v [14]

The equation in slope intercept form is y=-\frac{3}{2} x-3

Explanation:

The given pair of points are (2,-6) and (-4,3)

The slope can be determined using the formula,

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Substituting the points (2,-6) and (-4,3) in the slope formula, we have,

m=\frac{3+6}{-4-2}

m=\frac{9}{-6}

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The equation in slope intercept form can be determined using the formula,

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Substituting m=-\frac{3}{2} and the point (2,-6) in the above formula, we get,

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y+6=-\frac{3}{2} x+3

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Thus, the equation in slope intercept form is y=-\frac{3}{2} x-3

3 0
3 years ago
Sanji is 3 times as old as Mimi now. 7 years ago, the sum of their ages was 18 years. Let Mimi's present age be x years.
sesenic [268]

<em>x</em> term equals to 60 years

Step-by-step explanation:

Sanji is 3 times older than Mimi

and Mimi's age is 18 years now

that means 3×18=60

3 0
3 years ago
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