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valina [46]
4 years ago
10

Write two numbers that multiply to the value on top and add to the value on bottom

Mathematics
1 answer:
xenn [34]4 years ago
3 0

Answer:

3 and 2

Step-by-step explanation:

3 x 2 = 6

3 + 2 = 5

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Right triangle XYZ has right angle Z. If the sin(X)=1213<br> , what is the cos(X)
AlekseyPX

Given:

Right triangle XYZ has right angle Z.

\sin(x)=\dfrac{12}{13}

To find:

The value of \cos x.

Solution:

We know that,

\sin^2(x)+\cos^2(x)=1

\cos^2(x)=1-\sin^2(x)

\cos(x)=\pm\sqrt{1-\sin^2x}

For a triangle, all trigonometric ratios are positive. So,

\cos(x)=\sqrt{1-\sin^2x}

It is given that \sin(x)=\dfrac{12}{13}. After substituting this value in the above equation, we get

\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}

\cos(x)=\sqrt{1-\dfrac{144}{169}}

\cos(x)=\sqrt{\dfrac{169-144}{169}}

\cos(x)=\sqrt{\dfrac{25}{169}}

On further simplification, we get

\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}

\cos(x)=\dfrac{5}{13}

Therefore, the required value is \cos(x)=\dfrac{5}{13}.

6 0
3 years ago
What is the quotient?
exis [7]

The quotient is \frac{3(y-5)}{2}

Explanation:

The expression is \frac{2 y^{2}-6 y-20}{4 y+12} \div \frac{y^{2}+5 y+6}{3 y^{2}+18 y+27}

Now, reciprocal the term \frac{y^{2}+5 y+6}{3 y^{2}+18 y+27} and convert ÷ to ×

\frac{2 y^{2}-6 y-20}{4 y+12} \times \frac{3 y^{2}+18 y+27}{y^{2}+5 y+6}

Taking the common terms out, we get,

\frac{2\left(y^{2}-3 y-10\right)}{4(y+3)} \times \frac{3\left(y^{2}+6 y+9\right)}{y^{2}+5 y+6}

Factorizing each numerator and denominator, we get,

\frac{2(y-5)(y+2)}{4(y+3)} \times \frac{3(y+3)(y+3)}{(y+3)(y+2)}

Multiplying the terms, we have,

\frac{6(y-5)(y+2)(y+3)^{2}}{4(y+3)^{2}(y+2)}

Cancelling the common factors, we get,

\frac{3(y-5)}{2}

Thus, the quotient is \frac{3(y-5)}{2}

8 0
3 years ago
How do you do a two step equation with a fraction
shutvik [7]
The fraction symbolizes division. Divide, buddy.
7 0
3 years ago
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Translate each equation into a verbal sentence<br><br> 1/4 N + 5 = N - 7
Irina18 [472]

A quarter Multiplied by a number plus five is equivalent to a number Minus seven

5 0
3 years ago
Find the value of X please answer as soon as anyone can!
weeeeeb [17]

Answer:

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Step-by-step explanation:

180 = x + 64+45

therefore: x = 139

5 0
3 years ago
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