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Natali [406]
3 years ago
13

Find the exact length of the third side.

Mathematics
2 answers:
pychu [463]3 years ago
8 0

Answer:

24x^{2} +7x^{2} =

step-by-step explanation:

You have to solve this to get your answer. This is a case where you have to use the pythagorean theorem.

vitfil [10]3 years ago
7 0

Answer:

this is a right angle triangle.

which means that we can use hypotenuse theorem to solve it.

the hypotenuse theorem:-

a^2 +b^2 =c^2

where a and b are the sides opposite to the hypotenuse.

[(the longest side) the longest side of the triangle is always opposite to the right angle]

so...

a = 24

b = 7

a^2 + b^2 = c^2

24^2 + 7^2 = c^2

576 + 49 = c^2

625 = c^2

don't stop here, you could lose marks. I have seen my classmates do this silly and small mistake and lose 1/2 a mark.

√625 = c

25 = c

thus the length of the third side is 25.

Step-by-step explanation:

i hope this helps.

have a good day :)

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Help me with this 1,2,3. For each sequence, Determine with whether it appears to be arithmetic If it does find a common differen
pshichka [43]

Problem 1

<h3>Answer: Arithmetic, common difference = -4</h3>

-------------------

Explanation:

Pick any term of the sequence, and subtract off the previous term to find that,

  • term2 - term1 = -12 - (-8) = -12 + 8 = -4
  • term3 - term2 = -16 - (-12) = -16 + 12 = -4
  • term4 - term3 = -20 - (-16) = -20 + 16 = -4

Each time we get the same result, so that means we have an arithmetic sequence with common difference -4

This indicates that adding -4 to each term, or subtracting 4 from each term, will generate the next one.

Eg: term2 = term1 - 4 = -8-4 = -12.

==========================================================

Problem 2

<h3>Answer: Arithmetic, common difference = 5</h3>

-------------------

Explanation:

Similar to problem 1, this sequence is also arithmetic because we add on 5 to each term to get the next one

  • -6+5 = -1
  • -1+5 = 4
  • 4+5 = 9

Or you could subtract adjacent terms as done in problem 1, to find that the common difference is 5.

==========================================================

Problem 3

<h3>Answer: Not arithmetic</h3>

-------------------

Explanation:

Unlike the previous two problems, this sequence is not arithmetic.

We can see that

  • term2 - term1 = 12 - 3 = 9
  • term3 - term2 = 48 - 12 = 36

The gaps of 9 and 36 aren't the same. We need the same common difference between any adjacent terms to have an arithmetic sequence.

This sequence is instead geometric because

  • term2/term1 = 12/3 = 4
  • term3/term2 = 48/12 = 4
  • term4/term3 = 192/48 = 4

Each quotient is 4, showing the common ratio is 4. To find the next term, we multiply the current term by 4. So the next term after 192 would be 4*192 = 768, then 4*768 = 3072 is next, and so on.

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3 years ago
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kakasveta [241]

Answer:

21+j=55

Step-by-step explanation:

It says sum, which means to add(+). So you add 21 and j (21+j) and that equals 55 (=55). Then you add all the pieces together and you get 21+j=55

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