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3 years ago

5y-8z-(z+3y)+5(y-2z)

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

Answer: 7y-19z

Step-by-step explanation:

Distribute

5y-8z-z-3y+5y-10z

Collect like terms

7y=19z

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1 year ago

How do i find quartiles, 1,2 and 3

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3 years ago

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54 tacos was sold at lunch. What is six times as many as the number of hotdogs that were sold. How many hotdogs were sold?

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Answer:

9 hotdogs

Step-by-step explanation:

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3 years ago

What is cos(45°)?

Andrej [43]

Answer:

$\rm \dfrac{\sqrt2}{2}$

Step-by-step explanation:

A right angled ∆ is given to us and we need to find out the value of cos 45° ( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,

$\rm\implies cos\theta =\dfrac{base}{hypotenuse}$

In the given triangle ,

Value of base = 1
Value of hypotenuse = √2

On substituting the respective values ,

$\rm\implies cos45^\circ =\dfrac{1}{\sqrt2}$

For rationalizing the denominator , multiply numerator and denominator by √2 , we have,

$\rm\implies cos45^\circ=\dfrac{1(\sqrt2)}{(\sqrt2)(\sqrt2)}$

Simplify ,

$\rm\implies \boxed{\pink{\frak{ cos45^\circ=\dfrac{\sqrt2}{2} }}}$

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3 years ago