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Lostsunrise [7]
3 years ago
10

A certain television is advertised as a 58-inch TV (the diagonal length). If the width of the TV is 42 inches, how many inches t

all is the TV?
Mathematics
2 answers:
ra1l [238]3 years ago
6 0

Your answer will be 16

a_sh-v [17]3 years ago
6 0

Answer:

The height of the television is:

  • <u>40 inches</u>.

Step-by-step explanation:

To solve the proposed exercise you must understand two things:

  1. Since the flat figure of a television is a rectangle, it can be subdivided into a right triangle (since it has at least a 90 ° angle)
  2. A variation of the Pythagorean Triangle will be used.

The Pythagorean triangle tells us that the sum of the base squared and the height squared of a right triangle will be equal to the hypotenuse (diagonal) squared of the triangle, which is usually expressed like this:

  • a^2 + b^2 = c^2

But to make it more understandable, let's express it like this:

  • base^2 + height^2 = diagonal^2

Since the diagonal and the base (width) of the television are provided in the exercise, we must clear the height and calculate:

  • height^2 = diagonal^2 - base^2
  • height^2 = 58^2 - 42^2
  • height^2 = 1600

To identify the value if in the square, you must apply square root to the obtained value:

  • height^2 = square root of 1600
  • <u>height^2 = 40 inches</u>.
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Effectus [21]

Answer:

When the scale factor between two circles is “x” the scale factor between the radius is also “x” and the scale factor of the area is “x^2"

this is only one possible answer. For example, instead of radius, you could have put diameter or circumference.

7 0
2 years ago
I am thinking of a number
Lostsunrise [7]

Answer:

17

Step-by-step explanation:

Work backwards from your instructions

36/9 = 4

4 + 13 = 17

5 0
3 years ago
Use the function notation to write a recursive formula to represent the sequence: 4, 8, 12, ...
melamori03 [73]

Answer:

The correct answer is f(n) = f(n − 1) + 4

Step-by-step explanation:

Let us consider the sequence: 4, 8, 12, …

Using f(n) = f(n − 1) + 4, we can easily get the sequence.

As the first term is 4 and next term is obtained by adding 4 to the first term.

i.e. 4+4 = 8

     8+4 = 12

     12+4 = 16  and so on.

Since the next term is obtained by adding 4 to the previous term.

<em>So, f(n) = f(n-1) + 4 would be the correct recursive formula for the function of the sequence 4, 8, 12, .... </em>

<em>Verification: </em>

<em>                 f(n) = f(n-1) + 4</em>

Putting n=2 in f(n) = f(n-1) + 4 to get the second term of the sequence.

<em>                f(2) = f(2-1) + 4</em>

<em>                f(2) = f(1) + 4</em>

<em>                f(2) = 4 + 4</em>

<em>                f(2) = 8</em>

Putting n=3 in f(n) = f(n-1) + 4 to get the third term of the sequence.

<em>                 f(3) = f(3-1) + 4</em>

<em>                 f(3) = f(2) + 4</em>

<em>So, adding 4 in f(2)=8 would give us the next term i.e. 12</em>

<em>                f(3) = 8 + 4</em>

<em>                 f(3) = 12</em>

<em />

Keywords: recursive formula, sequence

Learn more about using recursive formula from brainly.com/question/1851471

#learnwithBrainly<em> </em>

7 0
2 years ago
21/x=7 the solution
djyliett [7]

Step-by-step explanation:

×/21 x ×/21 = 7× x/21

x= 1/3

6 0
2 years ago
51 - (2c+3)= 4 (c+5)+c
stellarik [79]

Answer:

Hello! The answer would be = 4

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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