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gulaghasi [49]
4 years ago
5

A certain television is advertised as a 53-inch TV (the diagonal length). If the width of

Mathematics
1 answer:
zhenek [66]4 years ago
6 0

The TV is 45 inches tall.

Step-by-step explanation:

The diagonal length of television = 53 inches

Width of TV = 28 inches

As TV is in rectangular or square shape, a diagonal will form a right triangle

Where,

Diagonal = hypotenuse = c = 53 inches

Width = base = b = 28 inches

Length = perpendicular = a

we will use pythagorean theorem to find the length.

a^2+b^2=c^2\\a^2+(28)^2=(53)^2\\a^2+784=2809\\a^2=2809-784\\a^2=2025

Taking square root on both sides

\sqrt{a^2}=\sqrt{2025}\\a=45

The TV is 45 inches tall.

Keywords: triangle, square root

Learn more about square root at:

  • brainly.com/question/10772249
  • brainly.com/question/10781917

#LearnwithBrainly

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By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.

<h3>How to find the area of the shaded region in the graph y = x² - 2</h3>

The area below the curve can be found by using <em>definite</em> integrals, which is defined here in this form:

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Now we proceed to calculate the area:

I = \int\limits^{1.5}_{0.5} {x^{2}} \, dx - 2 \int\limits^{1.5}_{0.5}\, dx

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I = \frac{1.5^{3}-0.5^{3}}{3} - 2 \cdot (1.5 - 0.5)

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By applying the concept of <em>definite</em> integral and the given restrictions, we conclude that the area of the <em>shaded</em> region in the graph is - 11/12.

<h3>Remark</h3>

The statement is incomplete. Complete form is shown below:

Find the area of the shaded region in the graph y = x² - 2, between x = 0.5 and x = 1.5

To learn more on definite integrals: brainly.com/question/14279102

#SPJ1

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