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muminat
3 years ago
5

How to find the side of a right triangle

Mathematics
1 answer:
m_a_m_a [10]3 years ago
7 0

Answer:

https://www.mathsisfun.com/algebra/trig-solving-sas-triangles.html

Step-by-step explanation:


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WHAT IS THE REMAINDER WHEN <img src="https://tex.z-dn.net/?f=32%5E%7B37%5E%7B32%7D%20%7D" id="TexFormula1" title="32^{37^{32} }"
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
How can you use division to find the decimal equivalent of a rational number ?
Naily [24]

Answer:

Rational numbers' decimal representations either finish or repeat a pattern. Divide the top by the bottom, the numerator by the denominator to convert fractions to decimals, and if the division doesn't come out evenly, round off after a specific number of decimal places.

Step-by-step explanation:

5 0
2 years ago
WILL MARK BRAINLIEST! Find the area of a circle with a radius of 7 feet ?
Murljashka [212]

Answer:

A = 153.94 ft^2

Step-by-step explanation:

5 0
3 years ago
Does anyone play nitro type ? if so, drop ya username and lets run it!
galben [10]

Answer:

I do but i need to remember my user give me a sec

5 0
3 years ago
Read 2 more answers
the number of hours h that it takes for ice to malt varies inversely with the temperature t it takes 3hours for a piece of ice t
Reptile [31]

Answer:

Step-by-step explanation:

Formula

h = k/temp

Givens

h = 4 hours

t = 45 degrees

Solution

3 = k / 45                  Multiply both sides by 45

3*45 = k

k = 135

Problem

what happens when h = 4 hours?

h = 4

k = 135

temp = ?

4 = 135 / temp       Multiply both sides by temp

4temp = 135          Divide by 4

temp = 135 / 4

temp = 33.75

Note that as the time went up, the temperature came down

6 0
2 years ago
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