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iVinArrow [24]
3 years ago
15

What is the value of x

Mathematics
1 answer:
aivan3 [116]3 years ago
4 0

Answer:

x=14√3 and y=28

Step-by-step explanation:

This is a 30, 60, 90 triangle. We have to multiply 14 by 2 to get the hypotenuse. In this case, the hypotenuse is y. 14x2 is equal to 28. Therefore, y=18. The long side is equal to the small side times the √3. Therefore, x is equal to 14√3. Therefore, x=14√3 and y=28.

If this has helped you please mark as brainliest

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Note: Consider all the numeric values are in the fraction form. Like 14\to \dfrac{1}{4}, 23\to \dfrac{2}{3} etc.

Given:

A recipe calls for \dfrac{1}{4} cup of brown sugar for every \dfrac{2}{3} cup of white sugar.

To find:

The number of cups of brown sugar that are required for every cup of white sugar.

Solution:

We know that,

Required brown sugar for \dfrac{2}{3} cup of white sugar =  \dfrac{1}{4} cup

Using this, we get

Required brown sugar for 1 cup of white sugar =  \dfrac{\dfrac{1}{4}}{\dfrac{2}{3}} cup

                                                                              =\dfrac{1}{4}\times \dfrac{3}{2} cup

                                                                              =\dfrac{3}{8} cup

So, \dfrac{3}{8} cup of brown sugar is required for every cup of white sugar.

Therefore, the correct option is B.

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PLEASE HELP! We can translate ()=2|−2|−5 to the right 3 units and up 5 units to create (). Write the equation for function g.
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Answer:

g(x)=2\,|x-5|

Step-by-step explanation:

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Mandarinka [93]

Answer:

The correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

Step-by-step explanation:

Consider the provided function.

f(x) = x^4 + 4x^3 + 6x^2 + 4x + 5 and d(x) = x^2+1

We need to divide f(x) by d(x)

As we know: Dividend = Divisor × Quotient + Remainder

In the above function f(x) is dividend and divisor is d(x)

Divide the leading term of the dividend by the leading term of the divisor:\frac{x^4}{x^2}=x^2

Write the calculated result in upper part of the table.

Multiply it by the divisor: x^2(x^2+1)=x^4+x^2

Now Subtract the dividend from the obtained result:

(x^4 + 4x^3 + 6x^2 + 4x + 5)-(x^4-x^2)=4x^3+5x^2+4x+5

Again divide the leading term of the obtained remainder by the leading term of the divisor: \frac{4x^3}{x^2}=4x

Write the calculated result in upper part of the table.

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Subtract the dividend:

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Divide the leading term of the obtained remainder by the leading term of the divisor: \frac{5x^2}{x^2}=5

Multiply it by the divisor: 5(x^2+1)=5x^2+5

Subtract the dividend:

(5x^2+5)-(5x^2+5)=0

Therefore,

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Quotient = x^2+4x+5

Remainder = 0

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Hence, the correct option is B)  f(x) =(x^2+1)(x^2+4x+5)

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