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Greeley [361]
2 years ago
5

Television sizes are labeled by the measure of the diagonal. What size is the TV below?

Mathematics
1 answer:
alukav5142 [94]2 years ago
6 0

Answer:

55 inches.

Step-by-step explanation:

So, in the question above we are given the following data or parameters or information which will assist us in solving this kind of question efficiently. Here are the information needed below;

(1). "Television sizes are labeled by the measure of the diagonal.''

(2). "47.5 inches up top and the side is 27 inches" which are the length and the breadth respectively. Therefore, we will make use of the formula below In solving this question;

Size of the Television = √[(Length of the Television)^2 × (breadth of the television)^2].

Hence, the size of the Television = √( 47.5)^2 + (27)^2. = 54.63744137494.

Approximately:

The Size of the Television = 55 inches.

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Answer:

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2 years ago
Use trigonometric identities to solve each equation within the given domain.
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Recall that the tangent function is defined by

tan(<em>x</em>) = sin(<em>x</em>)/cos(<em>x</em>)

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3 sin(<em>x</em>)/cos(<em>x</em>) = 4 sin(<em>x</em>) cos(<em>x</em>)

Move everything to one side to prepare to factorize:

3 sin(<em>x</em>)/cos(<em>x</em>) - 4 sin(<em>x</em>) cos(<em>x</em>) = 0

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sin(<em>x</em>) (3 - 4 cos²(<em>x</em>)) = 0

and so

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sin(<em>x</em>) = 0   <u>or</u>   cos²(<em>x</em>) = 3/4

sin(<em>x</em>) = 0   <u>or</u>   cos(<em>x</em>) = ±√3/2

On the interval [0, 2<em>π</em>),

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3 years ago
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Thepotemich [5.8K]

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Step-by-step explanation:

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2 years ago
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Find all the zeros for each function P(x)=x^4-4x^3-x^2+20x-20
ivanzaharov [21]

Answer:

The zeros of the given polynomial function are

2,2,\pm\sqrt{5}

Step-by-step explanation:

Given polynomial is P(x)=x^4-4x^3-x^2+20x-20

To find the zeros equate the given polynomial to zero

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By using synthetic division we can solve the polynomial:

2_|   1     -4     -1      20      -20

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Therefore x-2=0

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Again using synthetic division

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       0      2      0    -10    

    ______________

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Therefore x-2=0

x=2 is also a zero of P(x).

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Answer:

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Step-by-step explanation:

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3 years ago
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