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3 years ago

Which expression is the factored form of 2/3 x+ 4

Mathematics

1 answer:

makkiz [27]3 years ago

8 0

2/3, x, 4
hope this helps

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If tan theta = 10/13 and cos theta > 0 then sin2theta is what ?

svetoff [14.1K]

$sin2\alpha = \frac{260}{269}$

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

We have , $Tan\alpha = \frac{Perpendicular}{Base} = \frac{10}{13}$ ,

We know that $sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }$

Substituting values of P & B , $sin\alpha = \frac{10}{\sqrt{10^{2} + 13^{2}} } = \frac{10}{\sqrt{269} }$

Now , $sin2\alpha = 2sin\alpha cos\alpha = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }$

⇒ $sin2\alpha =$ $\frac{10}{\sqrt{269} }$ × $\sqrt{1 - (\frac{10}{\sqrt{269} })^{2} }$ ×2

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} } )$

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} } )$

⇒ $sin2\alpha = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} } )$

⇒ $sin2\alpha = \frac{260}{269}$

6 0

3 years ago

The sum of 9 and a number is twice a number plus 14. Write an equation.

Olin [163]

Answer:

9+x = 2y+14

Step-by-step explanation:

It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14

6 0

3 years ago

Original price 60$ markup 15%

Rom4ik [11]

$60.00 + 15%= 69.00. add the 15% to the orinigal Price.

5 0

3 years ago

in one month you had both a raise and a $250 bonus for exceeding your goals by 10%. your old paycheck gross was 2300 with a net

maks197457 [2]

Backing out the bonus, we get 2711 - 250 = 2461, which is 161 more than his last check

<span>So 161 / 2300 = 0.07, or 7%</span>

3 0

3 years ago

Write an equation in slope intercept form (y=mx+b) for the graph below .

jolli1 [7]

Answer:

Step-by-step explanation:

b would be 0

your slope is rise/run. up one and over three. up one and over three. so 1/3

write it as y=1/3x+0, or y=1/3x

6 0

3 years ago