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lara [203]
3 years ago
8

Write 3^n / 9^n-1 as a power of 3

Mathematics
1 answer:
Musya8 [376]3 years ago
6 0

Answer:

(1/3)³ = 1/27

Step-by-step explanation:

(3^n / 9^n-1)^3 =

3^3n / 1 x 1 / 9^3n-3 =

(1/3)^3 = 1/27

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Serhud [2]
The answer is 3 becasue 

3 0
3 years ago
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Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean
Leno4ka [110]

Answer:

a = \sqrt{7}

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

<em>Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.

My answer:

We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

a^2+b^2=c^2

Given that: b=3 and c=4

a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7

so a = \sqrt{7}

We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}

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3 0
4 years ago
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sleet_krkn [62]

Answer:

7 and 14

Step-by-step explanation:

8 0
3 years ago
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Please help<br><br><br><br> ..........................
Alenkinab [10]

Answer:

9/2

Step-by-step explanation:

perpendicular lines have slopes that are opposite and reciprocal

the reciprocal of -2/9 is 9/2

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3 years ago
Calculate the interest produced by a principal of $ 4,500 at 5% annual simple interest in 8 months.
enyata [817]

Answer:

4,500 x 5 = 22,500

4,500 divided by 5 = 900

4,500 plus 5 = 4,505

4,500 minus 5 = 4,495

Step-by-step explanation:

it is either one of those that u have to choose from good luck

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4 years ago
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