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ICE Princess25 [194]
3 years ago
15

In which figure is point G an orthocenter?

Mathematics
2 answers:
KengaRu [80]3 years ago
6 0

Answer:

In triangle JKH

Step-by-step explanation

The point where the three altitudes of a triangle intersect.

We need to finds altitude from those three point.

When they intersect we got orthocenter of triangle.

Altitude must form right angle with opposite side.

They must form right angle with opposite side.

So in our case G is orthocenter for JKH

ollegr [7]3 years ago
5 0

Answer:

its letter D i just took the quiz

Step-by-step explanation:

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A rubber ball dropped on a hard surface takes a sequence of bounces, each one 1/6 as high as the preceding one. If this ball is
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Answer:

\frac{259}{54}\text{ or }4.8\text{feet}

Step-by-step explanation:

GIVEN: A rubber ball dropped on a hard surface takes a sequence of bounces, each one \frac{1}{6} as high as the preceding one.

TO FIND: If this ball is dropped from a height of 12 feet, how far will it have traveled when it hits the surface the fifth time.

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once the ball is dropped on hard surface it bounces \frac{1}{6} of preceding one and comes down the same distance.

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after first hit =12\times\frac{1}{6}\text{ up}+12\times\frac{1}{6}\text{ down}=4

new height =12\times\frac{1}{6}=2\text{feet}

after second hit =2\times\frac{1}{6}\text{ up}+2\times\frac{1}{6}\text{ down}=\frac{2}{3}

new height =2\times\frac{1}{6}=\frac{1}{3}\text{ feet}

after third hit  =\frac{1}{3}\times\frac{1}{6}\text{ up}+\frac{1}{3}\times\frac{1}{6}\text{ down}=\frac{1}{9}

new height =\frac{1}{3}\times\frac{1}{6}=\frac{1}{18}\text{ feet}

after fourth hit =\frac{1}{18}\times\frac{1}{6}\text{ up}+\frac{1}{18}\times\frac{1}{6}\text{ down}=\frac{1}{54}

adding all distance =4+\frac{2}{3}+\frac{1}{9}+\frac{1}{54}

                                 =\frac{259}{54} feet

Hence the ball will travel   \frac{259}{54} feet before it hits the surface fifth time.

                                 

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