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luda_lava [24]
3 years ago
6

Find the area of an equilateral triangle with a side of 6 inches.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer:

9\sqrt{3} in²

Step-by-step explanation:

The area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is the length of a side )

Here s = 6, thus

A = \frac{6^2\sqrt{3} }{4} = \frac{36\sqrt{3} }{4} = 9\sqrt{3} in²

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Answer:

2H2S (g) + 3O2 (g) → 2H2O (l) + 2SO2 (g)

Calculate ΔH° from the given data. Is the reaction exothermic or endothermic?

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2 years ago
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Is cos 314 positive, negative or zero
Dafna1 [17]
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7 0
3 years ago
Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17
Lesechka [4]
A₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
7 0
3 years ago
How many solutions are there to the equation below 9x + 27 = 9( x + 2 ) + 9
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Let's solve the equation:

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9x+27 = 9x+18+9 ← Combine like terms

9x+27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x


Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.


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3 years ago
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Simplify <br><img src="https://tex.z-dn.net/?f=5%20%7B%20%7D%5E%7B2%7D%20%20-%204%20%7B%7D%5E%7B2%7D%20%20%3D%20" id="TexFormula
garri49 [273]
5 · 5 - 4 · 4 = 9 sorry if I'm wrong
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3 years ago
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