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zimovet [89]
2 years ago
5

Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between

the both boats after two hours.
Mathematics
1 answer:
ivolga24 [154]1 year ago
7 0

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

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77julia77 [94]

Answer:

C. It has been stretched horizontally.

Step-by-step explanation:

According to the diagram, the parabola has not been reflected in any way, nor has it been translated, since the parabola is pointing up in a smile, and the vertex is still at the origin.

The parabola does appear to be stretched, since the parent function had points at (1, 1), and (2, 4), but this parabola does not contain those points.

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Hope this helps!

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3 years ago
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Sophia buys an apple that weighs 0.45 pound, a grapefruit that weighs pound, a navel orange that weighs pound, and a pear that w
Tanzania [10]

Answer:

The order of fruit from least to greatest weight is -

Apple , pear, navel orange, grapefruit

Step-by-step explanation:

P.S - The exact question is -

Given - Sophia buys an apple that weighs 0.45 pound, a grapefruit that weighs \frac{3}{4} pound, a navel orange that weighs \frac{5}{8} pound, and a pear that weighs 0.5 pound.

To find - What is the order of the fruit from least weight to the greatest weight ?

Proof -

Weight of apple = 0.45 pound

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As,

0.45 < 0.5 < 0.625 < 0.75

So, The order of fruit from least to greatest weight is -

Apple , pear, navel orange, grapefruit

8 0
2 years ago
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Answer:

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Step-by-step explanation:

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_____

<em>Comment on the problem</em>

A "line of best fit" is one that minimizes some measure of deviation from the line. Usually, what is minimized is the square of the deviations. Choosing two points to draw the line through may be convenient, but does not necessarily result in a line of best fit.

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