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3 years ago

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.

_____

Additional comment

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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Let , −5−6 be a point on the terminal side of θ . find the exact values of cosθ , cscθ , and tanθ .

gizmo_the_mogwai [7]

Given that point (-5, -6) is a point on the terminal side of θ. Since both the x coordinate and the y-coordinate are negative, θ is in the third quadrant.

The side opposite θ is -6 and the side adjacent θ is -5.

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The exact value of cosθ is given by:

$\cos\theta= \frac{adjacent}{hypothenuse} = \frac{-5}{\sqrt{61}}$

The exact value of cscθ is given by:

$\csc\theta= \frac{hypothenuse}{opposite} = \frac{\sqrt{61}}{-6}$ 

The exact value of tanθ is given by:

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5 0

4 years ago

49767269 x 327686000 - 1029 + 1101 / 32

mars1129 [50]

Answer:

$16308037309533006\frac{13}{32}$

Step-by-step explanation:

49767269 × 327686000 - 1029 + $\frac{1101}{32}$

= 16308037309534000 - 1029 + $\frac{1101}{32}$

= 16308037309532972 + $34\frac{13}{32}$

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8 0

3 years ago

Solve by elimination. 7x+3y=25 -2x-y=-8

Luba_88 [7]

7x+3y=25
-2x-y=-8

7x+3y=25
(-2x-y=-8)3

7x+3y=25
-6x-3y=-24
x. =1

x=1

now you plug in that x value

-2(1)-y=-8
-2-y=-8
+2. +2
-y = -6
-1. -1
y = 6

(1,6)

4 0

4 years ago

Read 2 more answers

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Nookie1986 [14]

Answer:

The cost of dinner alone was $37.145

Step-by-step explanation:

15%=0.15----Convert your percentage into a decimal

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$43.70-$6.555=$37.145----Subtract the last number(6.555) from the total(43.70) to get the cost of dinner alone of $37.145 -This is making you subtract the percentage from the total!

I hope this helped!

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3 years ago

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2 years ago