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3 years ago

Which of the following is a perfect square? A. 169 B. 154 C. 279 D. 115

Mathematics

2 answers:

umka21 [38]3 years ago

6 0

169 is a perfect square because 13*13 equals 169. You can find that this is the correct answer by taking the square root of the other values and seeing that the result is not whole numbers.

I recommend learning all of the perfect squares up to 25 as they will be very useful in Algebra/Calculus. Below I have attached a reference chart that you can use to learn them. The highlighted numbers are the perfect squares.

castortr0y [4]3 years ago

4 0

169 = 13²

Answer is A. 169

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Help! Will give BRAINLIEST!! 20 POINTS!

tankabanditka [31]

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A larger number is five more than twice the smaller number their sum is 80 find the number

Oksana_A [137]

Answer:

L= 5+2s

Step-by-step explanation:

Let L = the larger # and S = the smaller #.

A large # is 5 more than twice a smaller #.....This gives Eq 1) L = 5 + 2S

Their sum is 80...This gives Eq 2) L + S = 80.

Substitute Eq 1) into Eq 2), you get

L + S = 80

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4 years ago

What is the solution to this equation?

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3 years ago

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The closed form sum of

zalisa [80]

Perhaps you know that

$S_2 = \displaystyle\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6$

and

$S_3 = \displaystyle\sum_{k=1}^n k^3 = \frac{n^2(n+1)^2}4$

Then the problem is trivial, since

$\displaystyle\sum_{k=1}^n k^2(k+1) = S_2 + S_3 \\\\ = \frac{2n(n+1)(2n+1)+3n^2(n+1)^2}{12} \\\\ = \frac{n(n+1)\big((2(2n+1)+3n(n+1)\big)}{12} \\\\ = \frac{n(n+1)\big(4n+2+3n^2+3n\big)}{12} \\\\ = \frac{n(n+1)(3n^2+7n+2)}{12} \\\\ = \frac{n(n+1)(3n+1)(n+2)}{12}$

Then

$12\bigg(1^2\cdot2+2^2\cdot3+3^2\cdot4+\cdots+n^2(n+1)\bigg) = n(n+1)(n+2)(3n+1)$

so that <em>a</em> = 3 and <em>b</em> = 1.

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3 years ago

In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?

Tju [1.3M]

Answer:

$\cos{W} = \frac{9}{41}$

Step-by-step explanation:

Cosine of an angle:

The cosine of an angle, in a right triangle, is the length of the side adjacent to this angle divided by the hypotenuse.

Length of the largest side:

The length of the largest side is 41, that is, the hypotenuse is 41. The hypotenuse is XW.

WY = 9.

This means that the length of the adjacent side to angle W is 9.

What ratio represents the cosine of ∠W?

Adjacent side has length 9, hypotenuse has length 41. So

$\cos{W} = \frac{9}{41}$

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