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Sliva [168]
3 years ago
5

Suppose two bicyclists start at the same location.

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

Answer:

  4 mi/h

Step-by-step explanation:

The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.

Their speed is (8 mi)/(2 h) = 4 mi/h.

_____

<em>Additional comment</em>

Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...

  c² = a² +b² . . . square of hypotenuse is sum of squares of legs

  c² = 1² +1² . . . . both legs are 1 in our example triangle

  c² = 2

  c = √2

That is, the hypotenuse is √2 times the leg length.

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A full supertanker travels for 574 miles. How many hours did it travel?
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Answer:

45

Step-by-step explanation:

you can see that the time increases by 10.

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So, 35 + 10 = 45

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Which line segment is a chord of o C in the diagram below?
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A. AB

Step-by-step explanation:

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In ΔMNO, n = 78 cm, o = 14 cm and ∠M=12°. Find the length of m, to the nearest centimeter
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Step-by-step explanation:

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3 years ago
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The lengths of the base of a trapezoid is 12ft and 5ft the height is 96 in what is the area of the trapezoid
lukranit [14]
The formula for the area of a trapezoid is
  A = (1/2)(b₁ +b₂)h

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8 0
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Mariah will deposit $1,530 in an account that earns 6% simple interest every year. Her
Vera_Pavlovna [14]

Answer:

After 3 years Mariah will have $1,805.40 while her sister Isabel will have $1,889.56.

Step-by-step explanation:

Since Mariah will deposit $ 1,530 in an account that earns 6% simple interest every year, while her sister Isabel will deposit $ 1,500 in an account that earns 8% interest compounded annually, and the deposits will be made on the same day, and no additional money will be deposited or withdrawn from the accounts, to determine the balances of Mariah's account and Isabel account at the end of the 3 years the following calculations must be performed:

Mariah:

1,530 + ((1,530 x 0.06) x 3) = X

1,530 + (91.8 x 3) = X

1,530 + 275.4 = X

1,805.4 = X

Isabel:

1,500 x (1 + 0.08 / 1) ^ 3x1 = X

1,500 x 1.08 ^ 3 = X

1,500 x 1,259712 = X

1,889.568 = X

Therefore, after 3 years Mariah will have $ 1,805.40 while her sister Isabel will have $ 1,889.56.

3 0
3 years ago
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