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Sliva [168]
2 years ago
5

Suppose two bicyclists start at the same location.

Mathematics
1 answer:
aliya0001 [1]2 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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If AB=48 and BC=22, then AC=?
alexandr1967 [171]

If A, B and C are collinear, then

1) if B is between A and C:

AC = AB + BC

AC = 48 + 22 = 70

2) if C is between A and B:

AB = AC + BC

48 = AC + 22 |-22

AC = 26

3) if A is between B and C:

BC = AB + AC

22 = 48 + AC |-48

AC = - 26 < 0 FALSE

Answer:

if B is between A and C, then AC = 70

if C is between A and B, then AC = 26

4 0
3 years ago
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Isabella has 6,000 dollars . she gave her mother 1,800 dollars . she donated 1/4 of the remaining amount to a charity. what perc
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6000 - 1800 = 4200
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8 0
3 years ago
Find the value of x for the right triangle. Round your answer to the nearest hundredth
Anna007 [38]

Answer:38.56

Step-by-step explanation:

tan35=opposite ➗ adjacent

0.7002=27 ➗ x

Cross multiplying we get

0.7002(x)=27

Divide both sides by 0.7002

0.7002x ➗ 0.7002=27 ➗ 0.7002

x=38.56041131

x=38.56 nearest hundredth

7 0
3 years ago
PQRS is an isosceles trapezoid and m
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Answer:

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Step-by-step explanation:

3 0
3 years ago
5+3=4d please help me
ad-work [718]
So the object of this problem is to find out the value of d.

To do this, first think about 5 + 3. This equals 8, right? So the value of d times 4 has to equal 8.

No other number besides 2 would make sense. 2 would equal d because 4 x 2 is 8, and 5 + 3 is 8.

So you would write the answer as:

5+3=4(2)
4 0
3 years ago
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