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Annette [7]
3 years ago
12

14. The screen size of a television is measured along

Mathematics
1 answer:
aksik [14]3 years ago
3 0

Answer:

15.5 inches

Step-by-step explanation:

height² = diagonal² - length²

height = √(32² - 28²) ≅ 15.5 inches

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Use prime factorazations of 24 and 28 to find the lcm
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it would be 2 bcs 24/2=12 and 28/2=14

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3 years ago
A video store specializes in three types of movies: children's, American West, and horror. It's known that:
xenn [34]

X, y, z denote children's movies, western movies, and horror movies, respectively. The related system of equations is formed and solved.

\left\{\begin{matrix} \qquad\qquad\ \dfrac{60}{100}x + \dfrac{50}{100}y =\dfrac{30}{100}(x+y+z)\\ \dfrac{20}{100}x+ \dfrac{60}{100}y+ \dfrac{60}{100}z= \dfrac{1}{2}(x+y+z) \\ \ \ \ x+100=y \end{matrix} \right.\

Simplifying the system of equations, we have

\left\{\begin{matrix} 3x + 2y -3z=0\\ -3x+ y+ z= 0 \\ \ \ \ x+100=y \end{matrix} \right.\ \ \Longrightarrow \ \left\{\begin{matrix} 5x-3z=-200\\ -2x+ z= -100 \end{matrix} \right.\

\ \ \  5x-3z=-200\\\underline{-6x+3z=-300} \ \Rightarrow \ x=500\\\ \ -x+0= \ 500

                                       y&=500+100=600\\ z&=3(500)-600=900

The video store has 500 children's movies, 600 westerns and 900 horror movies.

6 0
2 years ago
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Flyaway airline program offers 5 points for every mile flown plus a bonus of 20 points for every trip over 500 miles. My sky air
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Trip G at 1000 miles earning 5 points a mile plus an extra 20 for every 500
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What is the slope of the line 5x+y=15?
Reptile [31]

Answer:

-5

Step-by-step explanation:

Write in y = mx + b form

y = -5x + 15

m = slope

Answer: -5

7 0
4 years ago
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