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3 years ago

1) Identify the sides

Mathematics

1 answer:

gogolik [260]3 years ago

4 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given

The angle Ф = 42°

The hypotenuse = 15 cm

To determine

The length AB = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

In our case:

The adjacent to the angle Ф = 42° is the side AB

so substituting Ф = 42°, adjacent = AB, hypotenuse 15 in the trigonometric ratio

cos Ф = adjacent / hypotenuse

cos 42° = AB / 15

AB = 15 × cos 42°

AB = 11.14 cm

Therefore, the length of the side AB = 11.14 cm

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What are the first three terms of a geometric sequence in which as = 25 and the common ratio is 5?

marin [14]

Answer:

The first three terms are: 25, 125 and 625

Step-by-step explanation:

Given

$a =25; r = 5$

Required

The first three terms

The nth term of a geometry progression is:

$T_n =ar^{n-1$

So, we have:

First term: $n = 1$

$T_n =ar^{n-1$

$T_1 =25 * 5^{1-1$

$T_1 =25 * 5^0$

$T_1 =25 * 1$

$T_1 =25$

Second term: $n = 2$

$T_n =ar^{n-1$

$T_2 =25 * 5^{2-1$

$T_2 =25 * 5^{1$

$T_2 =25 * 5$

$T_2 =125$

Third term: $n = 3$

$T_n =ar^{n-1$

$T_3 =25 * 5^{3-1$

$T_3 =25 * 5^{2$

$T_3 =25 * 25$

$T_3 =625$

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True or False? If a distribution of observations that are all negative numbers has the five-number summary shown below, then, be

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I'm pretty positive that its false.

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4/7 : 14
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sergij07 [2.7K]

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Answer:

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