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matrenka [14]
3 years ago
5

If X = 14, find the value of the variable a. If your answer is not an integer, express it in simplest radical form.

Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0

Answer:

Step-by-step explanation:

First thing I would do is square the 14, and put it under the radical. Itll make the calculations a little bit easier.

14sqrt(2) = sqrt392

Use the definition of sine to find the value of a

sin(45) = opposite/hypotenuse = a/sqrt392

sin(45)=\frac{a}{\sqrt{392} }

a = 14

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A glass is
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total volume of the glass is }x =200cm^3 .

<u>Step-by-step explanation:</u>

Here we have , A glass is  1/4  full. Then 70cm3 of orange juice is poured in.

The glass is now  3/5  full. We need to find that What is the total volume of the glass . Let's find out :

Suppose that volume of glass is x ,so according to question we have the following equation

\frac{x}{4}+70 = \frac{3x}{5} , Now, solve this to find value of x

⇒ \frac{x}{4}+70 = \frac{3x}{5}

⇒ 70 = \frac{3x}{5}- \frac{x}{4}

⇒ 70 = \frac{3x((4)-x(5)}{5(4)}

⇒ 70 = \frac{12x-5x}{20}

⇒ 70(20) = 12x-5x

⇒ 7x = 1400

⇒ \frac{7}{7}x = \frac{1400}{7}

⇒ }x =200cm^3

Therefore, total volume of the glass is }x =200cm^3 .

5 0
3 years ago
The product of 2 √3 and 3 √12 simplified form is...
Serjik [45]
<h2>Greetings!</h2><h3>When multiplying two roots together, you can rearrange the equation so that the roots are next to each other and so are the whole numbers:</h3>

2 x 3 x \sqrt{3} x \sqrt{12}

<h3>This means that 2 x 3 is simple, = 6,</h3><h3>But when multiplying \sqrt{3} x \sqrt{12} you simply multply the two numbers and put them in a square root:</h3>

\sqrt{3} x \sqrt{12} = \sqrt{36}

<h3>But this can be square rooted to 6, which then means that the equation is now:</h3>

2 x 3 x 6 = 36

<h3>So the simplified form is 36.</h3>
<h2>Hope this helps!</h2>
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3 years ago
Ravi made 4 identical necklaces each having beads and a pendant. The total cost of the beads and pendants are for all four neckl
vekshin1

Answer:

Each pendant cost $3.30

Step-by-step explanation:

You would subtract $13.20 from $26.20  and get $13.20. You take $13.20 and divide it by 4. You would get $3.30.

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3 years ago
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C

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