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stiv31 [10]
3 years ago
9

Please help !Suppose that the height in centimeters of a candle is a linear function of them out of time in hours it has been bu

rning after 12 hours of burning a candle has a height of 18.6 cm for 29 hours of running its height is 15.2 cm what was the height of the candle after 16 hours ?
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

  17.8 cm

Step-by-step explanation:

In the 17 hours between heights of 18.6 cm and 15.2 cm, the candle lost 3.4 cm in height. That is, the height decreased at the rate of ...

  (-3.4 cm)/(17 h) = -0.2 cm/h

In the 4 hours between 12 hours and 16 hours of burning time, the candle will have changed its height by (4 h)(-0.2 cm/h) = -0.8 cm.

The height at 16 hours of burning is then 18.6 cm -0.8 cm = 17.8 cm.

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Solve for y:<br> x + 2y = -8<br><br> y=-1/2x+4<br> y=-1/2x-4<br> y=-2x - 4<br> y=1/2x-4
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Answer:

x + 2y = -8 = y = -4 - 1/2x

y= -1/2x + 4 =  y = 4

y= -1/2x - 4 = y = -4

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y=1/2x-4 = y = -4

Step-by-step explanation:

(x + 2y = -8 = y = -4 - 1/2x)

x+2y=-8\\2y=-8-x\\y=-4-\frac{1}{2}x\\

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The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47,
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2 years ago
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For a better understanding of the solution given here please find the attached file which has the relevant diagram.

To answer this question we will have to make use of <u>the Isosceles Triangle Theorem</u> which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.

Please follow the diagram of a complete understanding of the logic and the solution.

As EF is the angle bisector as given in the question, thus we will have:

m\angle DEK=2\times m\angle DE F=2\times 43^{\circ}=86^{\circ}.

Also, from the Theorem we know that KF will be half of DK and thus, KF will be:KF=\frac{1}{2}DK= \frac{1}{2}\times 16=8 centimeters.

Likewise, from the same theorem we have: m\angle EFD=90^{\circ}

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Read 2 more answers
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