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2 years ago

A car trip is 1/2h shorter that a bus trip. How long is the car trip if the bus trip is 3/4h?

Mathematics

1 answer:

olchik [2.2K]2 years ago

7 0

Answer:

1/4h

Step-by-step explanation:

If the time for the car trip is x, then given that a car trip is 1/2h shorter than a bus trip, it means that adding 1/2h to the time for a car trip gives the time for the bus trip.

Hence, the time for the bus trip

= (1/2 + x)h

since the bus trip is 3/4h, it means that

1/2 + x = 3/4

collecting like terms,

x = 3/4 - 1/2

= 3/4 - 2/4

= 1/4

Hence the car trip is 1/4h.

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2 years ago

the members of the gardening group plan to build a walkway through the garden as formed by the IHOP potenuse of each of the four

aliya0001 [1]

Answer:

50.24 yards

Step-by-step explanation:

We will use the pythagorean theorem to find hypotenuse of each of the 4 triangles.

Pythagorean Theorem is $Hypotenuse^2=OneLeg^2+AnotherLeg^2$

For Spinach area, two of the legs are 8 and 6. Solving for hypotenuse:

$hyp^2=6^2+8^2\\hyp^2=100\\hyp=10$

For watermelon area, two of the legs are 12 and 8. Solving for hypotenuse:

$hyp^2=12^2+8^2\\hyp^2=208\\hyp=\sqrt{208}$

in red peppers area, the hypotenuse is already given as 15. But we need to find one leg since that will be the leg of the triangle in tomatoes area. Hypotenuse is 15 and one leg is 12, so the other leg is:

$15^2=12^2+eg^2\\15^2-12^2=leg^2\\leg=9$

So, in tomatoes area, we have one leg 9 and another leg 6. Solving for hypotenuse:

$hyp^2=9^2+6^2\\hyp^2=117\\hyp=\sqrt{117}$

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Length of Walkway = $10+\sqrt{208} +15+\sqrt{117}\\ =50.24$ yards

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