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butalik [34]
3 years ago
8

This is the full question

Mathematics
1 answer:
nekit [7.7K]3 years ago
8 0
Given:  cos A = 5/13 = adj side / hypotenuse

The the opp side is given by  (hypo)^2 = (adj)^2 + (opp)^2.  Here,
                                                 13^2     =   5^2     + (opp)^2, so that 
(opp)^2 = 169 - 25 - 144.  Then opp = +12.  All of these lengths are in Q I.
                       opp        12
Then sin A = -------- = --------  (answer)
                       hyp         13
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Is 1/3, 2/3, 4/3, 8/3, 16/3 arithmetic sequence
11111nata11111 [884]

The given sequence is not arithmetic sequence

<em><u>Solution:</u></em>

Given sequence is:

\frac{1}{3} , \frac{2}{3} , \frac{4}{3} , \frac{8}{3} , \frac{16}{3}

We have to find if the above sequence is arithmetic sequence or not

An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant

<em><u>Here in the given sequence</u></em>

\text{ first term } = a_1 = \frac{1}{3}\\\\\text{ second term } = a_2 = \frac{2}{3}\\\\\text{ third term } = a_3 = \frac{4}{3}\\\\\text{ fourth term } = a_4 = \frac{8}{3}\\\\\text{ fifth term } = a_5 = \frac{16}{3}

<em><u>Let us find the difference between terms</u></em>

a_2 - a_1 = \frac{2}{3} - \frac{1}{3} = \frac{1}{3}

a_3 - a_2 = \frac{4}{3} - \frac{2}{3} = \frac{2}{3}

a_4 - a_3 = \frac{8}{3} - \frac{4}{3} = \frac{4}{3}

a_5 - a_4 = \frac{16}{3} - \frac{8}{3} = \frac{8}{3}

Thus the difference between terms is not constant

So the given sequence is not arithmetic sequence

5 0
3 years ago
Solve for x: 2(x + 3)2 − 4 = 0
Ivan
The answer would be the second one
8 0
3 years ago
Read 2 more answers
A company’s stock was selling at $25 a share a month later it was selling at $30 a share what is the percent increase
rjkz [21]

Answer:

20% increase

Step-by-step explanation:

To find the percent increase, you can divide the increase value by the original: 30/25 = 1.2 --> 120%. Next, since they ask for the percent of increase, you can subtract 1 or 100% from your answer which would give you a final answer of 20% increase.

4 0
3 years ago
Rationalize the denominator of (click photo)
Ede4ka [16]
\frac{\sqrt{-49}}{(7-2i)-(4+9i)}=\\&#10;\frac{\sqrt{-1*7*7}}{3-11i}=\\&#10;\frac{7i}{3-11i}*\frac{3+11i}{3+11i}=\\&#10;\frac{(7i)*(3+11i)}{3^2-(11i)^2}=\\&#10;\frac{21i+77i^2}{9+121}=\\&#10;\frac{21i-77}{130}=\\&#10;\frac{-77+21i}{130}

so it is the last option
6 0
3 years ago
State the domain and range of the following relation<br> x^2+y^2=16
Vlada [557]

The domain and range is  [-4, 4] and [0, 4]

<h3 /><h3>What is Domain and range?</h3>

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of values that the function assumes.

x² + y² = 16

y = √16 - x²

For domain under root should not be negative quantity,

16 - x²≥0

16≥x²

So, x≤4 or x≥4

Thus, the domain is  [-4, 4]

Range:

y is maximum at x=0, y=4

y is minimum at x=4, y=0

Thus, range = [0, 4]

Learn more about domain and range here:

brainly.com/question/12751831

#SPJ1

8 0
1 year ago
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