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2 years ago

A triangle has one side length of 9

Mathematics

1 answer:

Lilit [14]2 years ago

3 0

Answer:

You did not give any other clues so logically it is not possible to find the other length unless an angle is given. So if we think that the triangle is a right angle triangle then we can use the pythagorean theorem formula to calculate the other side which is:

c^2=a^2 + b^2

Now we know can say that one side 9 cm is,"a" and 12 cm is, "b" Now place the formula values accordinly to find, "c"

c^2= 9^2 + 12^2

c= square root of 225

c= 15

The exact value for the third side can be 15cm. But without any other hints it is not possible to find the other side length of the triangle.

Brainliest pls if you found it helpful!

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stiks02 [169]

Answer:

The area is 63a

The perimeter is 39b

Step-by-step explanation:

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2 years ago

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2 years ago

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3 years ago

Express the terms of the following sequence by giving a recursive formula.

emmasim [6.3K]

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

$a_1 = 11\\a_2 = a_{2-1} - 7 \\a_2= a_1 - 7\\a_2 = 11- 7\\a_2 = 4\\a_3 = a_{3-1} - 7 \\a_3= a_2 - 7\\a_3 = 4 - 7\\a_3 = -3\\a_4 = a_{4-1} - 7 \\a_4= a_3 - 7\\ a_4= -3 - 7\\a_4 = -10\\a_5 = a_{5-1} - 7 \\a_5= a_4 - 7\\a_5 = -10 - 7\\a_5 = -17\\$

Step-by-step explanation:

First of all, we have to determine if the given sequence is arithmetic sequence or geometric. For that purpose, we calculate the common difference and common ratio

Given sequence is:

11,4,-3,-10,-17...

Here

$a_1 = 11\\a_2 = 4\\a_3 = -3\\So,\\d = a_2 - a_1 = 4-11 = -7\\d = a_3-a_2 = -3-4 = -7$

As the common difference is same, given sequence is an arithmetic sequence.

A recursive formula is a formula that is used to generate the next term of the sequence using the previous term and common difference

So, the recursive formula for an arithmetic sequence is given by:

$a_n = a_{n-1} +d\\Putting\ d = -7\\a_n = a_{n-1}-7$

Hence,

The recursive formula for given sequence is: $a_n = a_{n-1}-7$

And the terms will be expressed as:

Keywords: arithmetic sequence, common difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

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3 years ago

Write the explicit formula for the geometric sequence 2, 8, 32, 128

Alja [10]

The first term, a, is 2. The common ratio, r, is 4. Thus,

a_(n+1) = 2(4)^(n).

Check: What's the first term? Let n=1. Then we get 2(4)^1, or 8. Is that correct? No.

Try this instead:

a_(n) = a_0*4^(n-1). Is this correct? Seeking the first term (n=1), does this formula produce 2? 2*4^0 = 2*1 = 2. YES.

The desired explicit formula is a_(n) = a_0*4^(n-1), where n begins at 1.

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3 years ago