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Harlamova29_29 [7]
3 years ago
5

Higher Circle Theorems Three questions 20 points.

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

Answer:

64

Step-by-step explanation:

alternating angles are equal

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5) Find the common ratio and the next term.<br> 512, 128, 32, 8,
serious [3.7K]

Answer:

The common ratio is \frac{1}{4}

The next term in the sequence is 2

Step-by-step explanation:

In a geometric sequence, the common ratio is the constant value you multiply a term by in order to find the value of the following term. Therefore, it is mathematically calculated as the quotient between a term and the term immediately before it. And it is in fact That is:

common ratio r=\frac{a_{n+1}}{a_n}

This quotient should be true for any two consecutive terms in the sequence.

so using the first two terms, we find:

r=\frac{a_{n+1}}{a_n}=\frac{a_{2}}{a1}=\frac{128}{512} =\frac{1}{4}

You can test that this common ratio is true for all other terms listed:

\frac{a_3}{a_2} =\frac{32}{128} =\frac{1}{4} \\\frac{a_4}{a_3} =\frac{8}{32} =\frac{1}{4} \\

So now, in order to find the term that follows, all we need to do is to multiply the last term given (8) by this common ratio:

a_5=8*\frac{1}{4} =2

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3 years ago
2: CA &gt; Chapter 7 &gt; Section Exercises 7.5 &gt; Exercise 6
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A baseball is hit straight up at an initial velocity of 150 m/s. What will be the baseball's speed when it hits the ground?
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Assuming that the ball is launch from the ground. the initial velocity would be equal to its final velocity when it reach the ground. this is because the acceleration due to gravity is working on the ball, when it goes up decelerates up to zero, then falls back then acceleartes again until it reach the groun, where the velocity is 150 m/s
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