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Svetlanka [38]
3 years ago
10

NEED HELP ASAP

Mathematics
2 answers:
Viefleur [7K]3 years ago
7 0

Answer:

2625 cubic meters

Step-by-step explanation:

the volume of a rectangle is V = length x width x height (depth in this case)

so, 50m x 30m x 1.75m = 2625m^3

weqwewe [10]3 years ago
6 0
2,625 cubic meters is the correct answer
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Feliz [49]

Recall Euler's theorem: if \gcd(a,n) = 1, then

a^{\phi(n)} \equiv 1 \pmod n

where \phi is Euler's totient function.

We have \gcd(9,32) = 1 - in fact, \gcd(9,32^k)=1 for any k\in\Bbb N since 9=3^2 and 32=2^5 share no common divisors - as well as \phi(9) = 6.

Now,

37^{32} = (1 + 36)^{32} \\\\ ~~~~~~~~ = 1 + 36c_1 + 36^2c_2 + 36^3c_3+\cdots+36^{32}c_{32} \\\\ ~~~~~~~~ = 1 + 6 \left(6c_1 + 6^3c_2 + 6^5c_3 + \cdots + 6^{63}c_{32}\right) \\\\ \implies 32^{37^{32}} = 32^{1 + 6(\cdots)} =  32\cdot\left(32^{(\cdots)}\right)^6

where the c_i are positive integer coefficients from the binomial expansion. By Euler's theorem,

\left(32^{(\cdots)\right)^6 \equiv 1 \pmod9

so that

32^{37^{32}} \equiv 32\cdot1 \equiv \boxed{5} \pmod9

7 0
2 years ago
Find the value of x. Write your answer as a simplified radical if necessary.
Andreas93 [3]

Answer:

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Step-by-step explanation:

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SohCahToa

Soh = Sin because you got Opposite and Hypotenuse (because you're trying to find the side, you'd do the opposite of dividing, which is times)

10×sin(30)=5

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3 years ago
<img src="https://tex.z-dn.net/?f=y%20-%20xy%20%2B%20x%20-%201" id="TexFormula1" title="y - xy + x - 1" alt="y - xy + x - 1" ali
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