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Agata [3.3K]
3 years ago
5

Can anyone help me in Ptolemy's theorem?

Mathematics
1 answer:
GalinKa [24]3 years ago
8 0

Answer:

Well, I'm not sure what you mean but Ptolemy's Theorem gives a relationship between the side lengths and the diagonals of a cyclic quadrilateral; it is the equality case of Ptolemy's Inequality. Ptolemy's Theorem frequently shows up as an intermediate step in problems involving inscribed figures.

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Im stuck on this one
nika2105 [10]

ABC is a right triangle, so by Pythagoras' theorem,

AB^2+AC^2=BC^2\implies BC=\sqrt{4^2+9^2}=\sqrt{97}

Then by the law of sines,

\dfrac{\sin A}{BC}=\dfrac{\sin C}{AB}\iff\dfrac1{\sqrt{97}}=\dfrac{\sin C}4\implies\sin C=\dfrac4{\sqrt{97}}

\implies C=\sin^{-1}\dfrac4{\sqrt{97}}\approx24^\circ

5 0
3 years ago
PLEASE ANSWER FAST!! Find the 29th term of this sequence:-121,-108,-95,-82...
Julli [10]

Answer:

The 29th term is

<h2>243</h2>

Step-by-step explanation:

The above sequence is an arithmetic sequence

For an nth term in an arithmetic sequence

U(n) = a + ( n - 1)d

where n is the number of terms

a is the first term

d is the common difference

From the question

a = - 121

d = -108 -- 121 = - 108 + 121 = 13

Since we are finding the 29th term

n = 29

The 29th term of the sequence is

U(29) = - 121 + ( 29 - 1) 13

= -121 + 28(13)

= -121 + 364

The final answer is

<h2>243</h2>

Hope this helps you

4 0
3 years ago
Solve log_8 12 = x – 2 . Round your answer to four decimal places.
Aleksandr-060686 [28]

Step-by-step answer:

Let's attack the left side:

log_8 12 = log (base 8) 12 = log(12)/log(8) = 1.1949875 (approx.)

Next solve

log_8 12 = x-2

log(12)/log(8) = x-2

x = 2 + log(12)/log(8)

= 3.195 (to one thousandth)

3 0
3 years ago
Read 2 more answers
Please let me know if I’m right, thank you.
Korvikt [17]

Answer:

Yes

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Alia has swimming class every fourth day and diving class every sixth day. If she had swimming class and diving class on 5 june,
dolphi86 [110]

Answer:

June 17

Step-by-step explanation:

the least common multiple of 4 and 6 is 12.  Add 12 to June 5 and you get June 17

3 0
3 years ago
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