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Sunny_sXe [5.5K]
4 years ago
12

If a triangle is an equilateral triangle, then the triangle has exactly three 60°

Mathematics
1 answer:
ahrayia [7]4 years ago
3 0

Step-by-step explanation:

In an equilateral triangle, all the three sides are equal as well as all the angles are equal. Let the angles be x.

We know that the sum of angles of a triangle is equal to 180 degrees. It means that,

x+x+x=180

3x=180

x=60°

Hence, if a triangle is an equilateral triangle, then the triangle has exactly three 60°  angles. Hence, △ABC is an equilateral triangle

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Find the volume of a sphere with a great circle area of 201.06 square inches
Vikentia [17]
Assuming you meant a "circular cross-section" of 201.06 in².

so, we know if we cut the sphere like a cantaloupe, in half, the circular inner-part of the cantaloupe will have an area of 201.6 in².

keeping in mind that, the radius of that circular section, is the same radius of the sphere, what is it anyway?

\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=201.06
\end{cases}\implies 201.06=\pi r^2
\\\\\\
\cfrac{201.06}{\pi }=r^2\implies \sqrt{\cfrac{201.06}{\pi }}=r\\\\
-------------------------------

\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\qquad \qquad \implies V=\cfrac{4\pi \left( \sqrt{\frac{201.06}{\pi }} \right)^3}{3}\implies V=\cfrac{4\pi \left( \frac{\sqrt{201.06^3}}{\sqrt{\pi ^3}} \right)}{3}
\\\\\\
V=\cfrac{4\pi \cdot \frac{\sqrt{201.06^3}}{\pi \sqrt{\pi }}}{3}\implies V=\cfrac{\frac{4\sqrt{201.06^3}}{\sqrt{\pi }}}{3}\implies V=\cfrac{4\sqrt{201.06^3}}{3\sqrt{\pi }}
6 0
3 years ago
The 5th term in a geometric sequence is 140. The 7th term is 35. What are the possible values of the 6th term of the sequence?
ivann1987 [24]

Answer:

±70

Step-by-step explanation:

7 0
3 years ago
What is 5 nineths times 12
Reika [66]
6.666666 and so on so about 7
7 0
3 years ago
If two rays share a common endpoint, then they will always form a line
Monica [59]
Unless they are opposite rays, then yes, they will always form a line. 
4 0
3 years ago
Find the indicated term of the given geometric sequence. a1 = 14, r = –2, n = 11
Vesnalui [34]

Answer:

a_{11} = 14336

Step-by-step explanation:

The general formula for the twelfth term of a geometric sequence is:

a_n = a_1(r)^{n-1}

Where a_1 is the first term and r is the common ratio

In this case we know that:

a_1 = 14\\r=-2

The equation is:

a_n = 14(-2)^{n-1}

So for n = 11 we look for a_{11}

a_{11} = 14(-2)^{11-1}

a_{11} = 14(-2)^{10}

a_{11} = 14336

4 0
3 years ago
Read 2 more answers
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