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igomit [66]
4 years ago
11

What is the approximate length of the diagonal of a square with side length of 20 centimeters

Mathematics
2 answers:
zhuklara [117]4 years ago
5 0
Answer:28.28 cm

Explanation:

a² + b² = c²

20² + 20² = c²

c² = 400 + 400

c² = 800

c = √800

c = 28.28 cm
Jet001 [13]4 years ago
4 0
You can either use the Pythagorean theorem or the formula d = a√2.

Pythagorean theorem:

The diagonal is the hypotenuse of the right triangle in the square and the two sides are the legs.

20² + 20² = d²
400 + 400 = d²
800 = d²
√800 = d
28.28 = d

Using the formula:

d = a√2
d = 20√2
d = 28.28

The answer with both the methods is the same.

Hope this helps :)

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Someone please help me with this lol… have no idea what I’m doing
Sholpan [36]

Given:

\cos \theta =\dfrac{3}{5}

\sin \theta

To find:

The quadrant of the terminal side of \theta and find the value of \sin\theta.

Solution:

We know that,

In Quadrant I, all trigonometric ratios are positive.

In Quadrant II: Only sin and cosec are positive.

In Quadrant III: Only tan and cot are positive.

In Quadrant IV: Only cos and sec are positive.

It is given that,

\cos \theta =\dfrac{3}{5}

\sin \theta

Here cos is positive and sine is negative. So, \theta must be lies in Quadrant IV.

We know that,

\sin^2\theta +\cos^2\theta =1

\sin^2\theta=1-\cos^2\theta

\sin \theta=\pm \sqrt{1-\cos^2\theta}

It is only negative because \theta lies in Quadrant IV. So,

\sin \theta=-\sqrt{1-\cos^2\theta}

After substituting \cos \theta =\dfrac{3}{5}, we get

\sin \theta=-\sqrt{1-(\dfrac{3}{5})^2}

\sin \theta=-\sqrt{1-\dfrac{9}{25}}

\sin \theta=-\sqrt{\dfrac{25-9}{25}}

\sin \theta=-\sqrt{\dfrac{16}{25}}

\sin \theta=-\dfrac{4}{5}

Therefore, the correct option is B.

6 0
3 years ago
A hostess earned a 5% tip. What decimal is equivalent to 5%?
4vir4ik [10]

Answer:

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Step-by-step explanation:

to get a percent, you multiply by 100. so take 5 and divide by 100 to get decimal

4 0
3 years ago
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stiv31 [10]
Well, if u=12 and you are dividing you would do 144/5 which equals 12. I hope this helps and have a blessed day!

8 0
3 years ago
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The table shows the ticket sales for three days On which day(s) were the ticket sales grater than 50?
antiseptic1488 [7]

Hey Mate,

you can see the table . it clearly says that on Thursday number of tickets sold is 56 which is greater than 50

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4 years ago
Can someone tell me the answer
enyata [817]

Answer: <em>x</em> = -2

Work:

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3 = 4x + 11 ⇒ Subtract 11 from both sides

-8 = 4x ⇒ Divide both sides by 4

x = -2

5 0
3 years ago
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