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kifflom [539]
3 years ago
12

PLEASE HELP FAST I WILL GIVE YOU BRAINLIEST

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

5

Step-by-step explanation:

yoy need to find hue multiplying factor, this is done by dividing one of the sides in QRS, by one in ABC. you can divide 10 by 4 to give you 2.5, and then multiply that by 2 to get 5

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If x^2+1/x^2=3 find the value of x^2/(x^2+1)^2<br> Express answer as a common fraction.<br> Thanks!!
timama [110]

x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

By the quadratic formula,

x^2=\dfrac{3\pm\sqrt5}2\implies x^2+1=\dfrac{5\pm\sqrt5}2

Then

(x^2+1)^2=\dfrac{25\pm10\sqrt5+5}4=\dfrac{15\pm5\sqrt5}2

\implies\dfrac{x^2}{(x^2+1)^2}=\dfrac{\frac{3\pm\sqrt5}2}{\frac{15\pm5\sqrt5}2}=\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}

Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

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3 years ago
An ice cube is made of 5 fluid ounces of water. About how many milliliters of water does it take to make an ice cube
Sergio [31]

<u>ANSWER: </u>

147.868 mL of water is required to make an ice cube.

<u>SOLUTION: </u>

Given that, an ice cube is made up of 5 fluid ounces of water.

We need to find how many milli liters of water does it require to make an ice cube.

For, that we have to convert 5 fluid ounces in to units of milli liters.

We know that, 1 US fluid ounce equals to 29.5735 milli liters. i.e. 1 US fluid ounce = 29.5735 mL

Now,  

An ice cube is made by 5 fluid ounces = 5 x 1 fluid ounce

= 5 x 29.5735 mL  = 147.868 mL

Hence, 147.868 mL of water is required to make an ice cube.

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