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anzhelika [568]
3 years ago
9

Two SUVs head toward each other from opposite ends of a freeway 460 kilometers long. If the speed of the first SUV is 49 kilomet

ers per hour and the speed of the second SUV is 43 kilometers per hour, how long will it take before the SUVs pass each other?
Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0
The distance covered by a moving object is calculated through multiplying the speed and the time it takes to cover the distance. In this item, we let x be the time. The distances covered by the two vehicles are as follows,

       SUV A = 49x
        SUV B = 43x

These distances should add up to 460 km. Thus,
              
           49x + 43x = 460 

The value of x from the equation is 5 hours.

Answer: 5 hours
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A certain television is advertised as a 53-inch TV (the diagonal length). If the width of
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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

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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:

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What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from 75 ft away?
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