Pls help me with this question and reply answer

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

5 0

Step-by-step explanation:

From both the cases we can say that √n is either a natural number or an irrational number. Hence the correct option is (d)Either a natural number or an irrational number. Note: Before solving this type of question we should have proper knowledge of natural numbers, rational numbers and irrational numbers.

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30 PTS!!! ANYONE GOOD AT MATH PLS HELP!

siniylev [52]

Answer:

$\frac{2}{\sqrt{5} }$

Step-by-step explanation:

To solve this, all we need to do is draw a triangle.

From the $arctan(2)$ we can deduce that $tan(x)=\frac{2}{1}$

From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is $\sqrt{5}$

Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse

This gives us the value of $\frac{2}{\sqrt{5} }$ which is our answer.

8 0

3 years ago

Determine the sum of the arithmetic series: 5+18 +31 +44 + ... 161.

Finger [1]

Answer:

1079

Step-by-step explanation:

Hello,

18-5 = 13

31-18=13

44-31=13

161=5+13*12

So we need to compute

$\displaystyle \sum_{k=0}^{k=12} \ {(5+13k)}\\\\=\sum_{k=0}^{k=12} \ {(5)} + 13\sum_{k=1}^{k=12} \ {(k)}\\\\=13*5+13*\dfrac{12*13}{2}\\\\=65+13*13*6\\\\=65+1014\\\\=1079$