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Bond [772]
3 years ago
12

Please help me to find out the answer

Mathematics
1 answer:
EleoNora [17]3 years ago
3 0

9514 1404 393

Answer:

  34.58 in

Step-by-step explanation:

Relative to the angle marked in this right triangle, the side given is the "adjacent" side, and the side length wanted is that of the hypotenuse. The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

Solving for the hypotenuse, we get ...

  NP = (29 in)/cos(33°) ≈ 34.58 in

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Systematic Sampling Technique is used to select 5 numbers between 1 and 200. The first selected number is 12. What should be nex
Zina [86]

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Step-by-step explanation:

  • A systematic random sampling is a random sampling technique in which a sample from a large population are chosen according to a random beginning point and a fixed periodic interval (k).

Given : Systematic Sampling Technique is used to select 5 numbers between 1 and 200.

⇒ Population size : N=200

Required Sample size  : n=5

Since , Sampling interval is given by :-

k=\dfrac{N}{n}

⇒ [tex]k=\dfrac{200}{5}[=40/tex]

If the first selected number is 12, then the next four numbers would be :

(12+K) , (12+2k) , (12+3k) , (12+4k)

Put value of k , we get

(12+40) , (12+2(40)) , (12+3(40)) , (12+4(40)) =(52, 92 , 132, 172)

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3 years ago
What are the solutions to log subscript 6 baseline (x squared 8) = 1 log subscript 6 baseline (x)
n200080 [17]

The solution of the logarithmic equation is given by the antilog. Then the value of x is 2 and 4.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The logarithmic equation is given below.

\log _6(x^{2} +8)= 1+ \log _6x\\\\\log _6(x^{2} +8)= \log_66+ \log _6x\\\\\log _6(x^{2} +8)=  \log _66x\\

Take antilog, then we have

\begin{aligned} x^{2} +8 &= 6x\\\\x^2 -6x + 8 &= 0\\\\x^2 -4x - 2x +8 &=0\\\\(x-4)(x-2) &= 0\\\\x&= 2, 4\end{aligned}

Then the value of the x is 2 and 4.

More about the factorization link is given below.

brainly.com/question/6810544

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