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3 years ago

Is 3^9 greater than 7^5? How much less than or greater than is 3^9 compared to 7^5? Show your work

Mathematics

1 answer:

ki77a [65]3 years ago

5 0

Is 3^9 greater than 7^5?

$3^9 = 3*3*3*3*3*3*3*3*3= 19683$

$7^5 = 7*7*7*7*7=16807$

19683 is greater than 16807

so $3^9 \ greater \ than \ 7^5$

Now we compare $3^9 \ and \ 7^5$

for that we compare 19683 and 16807

19683 - 16807= 2876

19683 is 2876 more than 16807

So , $3^9$ is 2876 greater than $7^5$

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Pleasee help mee<br><br>12sin(x)-5cos(x)=6,5

abruzzese [7]

We turn -5,12 into polar coordinates. It's a Pythagorean Triple so

r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )

so -5 = 13 cos Ф, 12 = 13 sin Ф

12 sin x - 5 cos x = 6.5

13 sinФ sin x + 13 cos Ф cos x = 6.5

13 cos(x - Ф) = 6.5

cos(x - Ф) = 1/2

cos(x - Ф) = cos 60°

x - Ф = ± 60° + 360° k integer k

x = Ф ± 60° + 360° k

x = 180° + arctan(-12/5) ± 60° + 360° k

That's the exact answer;

x ≈ 180° - 67.38° ± 60° + 360° k

x ≈ 122.62° ± 60° + 360° k

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3 years ago

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devlian [24]

The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

<h3>What are perfect squares trinomials?</h3>

They are those expressions which are found by squaring binomial expressions.

Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.

Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:

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Comparing this expression with the expression we're provided with:

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we see that:

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Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20

Learn more about perfect square trinomials here:

brainly.com/question/88561

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Murljashka [212]

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im assuming that this is a right angle

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