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2 years ago

Can anyone plz help?

Mathematics

2 answers:

ololo11 [35]2 years ago

5 0

Answer:

Step-by-step explanation:

Angle R= 42

TS is 6

Because Triangle PQR is equal to UTS

Angle R is equal to angle S because of where its placed in the wording

TS is equal to QR

nasty-shy [4]2 years ago

5 0

Answer:

∠ R = 42°, TS = 6

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent, then

∠ R = ∠ S = 42°

TS = QR = 6

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How is the process of finding the surface area of a rectangular prism the same as finding the surface area of a triangular prism

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Answer:

see the explanation

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How is it different?

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3 0

2 years ago

Read 2 more answers

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

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

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1 year ago

How many batches of cookies can you make if you have 8 cups of flour and recipe calls for 3/4 per batch?

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These are the various types of number groups that exist for categorizing numbers.

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Find out more on sets of numbers at brainly.com/question/13081505

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