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Pavel [41]
2 years ago
14

If a girl in a bikini has walked 4 KM in 10 minutes, How many kilometers does she walk in 3 years?

Mathematics
1 answer:
Mashutka [201]2 years ago
5 0

Answer:

631139.04 kilometers in 3 years

Step-by-step explanation:

Let x = how many kilometers she walk

y = time (minutes)

Since she walks 4km in 10 minutes.

x = 4, y = 10

(4,10)

But how many minutes if she walk only a kilometer? Divide x and y by 4.

(1,2.5)

She walks a kilometer under 2.5 minutes.

Now finding rate of changes.

\displaystyle \large{m =  \frac{10 - 2.5}{4 - 1} } \\  \displaystyle \large{m =  \frac{7.5}{3} } \\ \displaystyle \large{m =  2.5}

Since m = 2.5

and of course, the function should be proportional so the equation should be y = mx.

\displaystyle \large{y = 2.5x }

Since time should be minutes instead of years.

Since 3 years = 1577847.6 minutes

\displaystyle \large{1577847.6 = 2.5x}

Divide both sides by 2.5

\displaystyle \large{ \frac{1577847.6}{2.5} = x} \\ \displaystyle \large{631139.04 = x }

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The question is incomplete. The complete question is here

Angle KJL measures (7x - 8)° and angle KML measures (3x + 8)°. What is the measure of arc KL, if M and J lie on the circle ?

Answer:

The measure of arc KL is 40° ⇒ 2nd answer

Step-by-step explanation:

In any circle:

  • Inscribed angles subtended by the same arc are equal
  • If the vertex of an angle lies on the circles and its two sides are chords in the circle, then it called inscribed angle
  • The measure of an inscribed angle is equal to half the measure of its subtended arc

In a Circle

∵ M lies on the circle

∵ KL is an arc in the circle

∴ MK and ML are chords in the circle

∴ ∠KML is an inscribed angle subtended by arc KL

∵ J lies on the circle

∵ KL is an arc in the circle

∴ JK and JL are chords in the circle

∴ ∠KJL is an inscribed angle subtended by arc KL

∵ Inscribed angle subtended by the same arc are equal

∴ m∠KML = m∠KJL

∵ m∠KML = (3x + 8)°

∵ m∠KJL = (7x - 8)°

- Equate them to find x

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- Subtract 3x from both sides

∴ 4x - 8 = 8

- Add 8 to both sides

∴ 4x = 16

- Divide both sides by 4

∴ x = 4

- Substitute the value of x in the m∠KML OR KJL to find its measure

∵ m∠KML = 3(4) + 8 = 12 + 8

∴ m∠KML = 20°

∴ m∠KJL = 20°

∵ The measure of an inscribed angle is equal to half the measure

   of its subtended arc

∴ m∠KML = \frac{1}{2} (m of arc KL)

∵ m∠KML = 20°

∴ 20 = \frac{1}{2} (m of arc KL)

- Multiply both sides by 2

∴ 40° = m of arc KL

The measure of arc KL is 40°

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