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nalin [4]
2 years ago
9

Mario purchased a computer with a screen that measures 16.0 inches diagonally. The length of the screen is 11 inches. What is th

e width of the screen? Round your answer to the nearest tenth of an inch.
Mathematics
2 answers:
vodomira [7]2 years ago
6 0

Answer:

11.6 inches

Step-by-step explanation:

We can use Pythagorean Theorem to solve this problem. We're given the value of the hypotenuse (c) as 16, and the value of the leg (a) as 11. Now, we must find B by solving the equation.

  • 11^2 + b^2 = 16^2

Step 1: Simplify both sides.

  • 121 + b^2 = 256

Step 2: Subtract 121 from both sides.

  • 121 + b^2 - 121 = 256-121
  • b^2=135

Step 3: Square root both sides.

  • \sqrt{b^2} = \sqrt{135}
  • b = \sqrt{135}
  • b ≈ 11.6

Therefore, the width is 11.6 inches.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Vesnalui [34]2 years ago
3 0

Answer:

11.61 in

Step-by-step explanation:

the screen when divided diagonally, forms 2 right triangles

diagonal = hypotenuse = 16

16^2 = 11^2 + w^2

w^2 = 135

w = 11.61

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A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6
Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

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To Find : Rate (\frac{dw}{dt}) of the tip (D) of the girl's shadow (BD) moving away from th

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Solution : Let the distance of the girl from the street light is = x feet

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In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

\frac{x}{21}=\frac{x+y}{25}

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = \frac{4x}{21}

Now we take the derivative on both the sides,

\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}

= \frac{4}{21}\times 6

= \frac{8}{7}

≈ 1.14 ft per sec.

Since w = x + y

Therefore, \frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}

\frac{dw}{dt}=6+1.14

= 7.14 ft per sec.

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