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2 years ago

Which of the following solutions to the inequality -7X +14>-3x-6? Select all that apply.

1 answer:

3 0

$-7x+14 > -3x-6\ \ \ |-14\\\\-7x > -3x-20\ \ \ |+3x\\\\-4x > -20\ \ \ |\text{change the signs}\\\\4x < 20\ \ \ \ |:4\\\\x < 5$

Answer: -10, -5, -3, 3, 0.

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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

A worm takes 19 seconds to travel 25 cm , How many groups of 25 cm are in 1 meter ? u guys don't need to help me but if u would

Sedbober [7]

Answer:

Step-by-step explanation:

we know that 100 cm are equal to 1 meter

there are 4 "groups" of 25 cm in one meter

the worm needs 76 seconds to travel a meter, in case you need to know that

6 0

2 years ago

Which of the following is true?

dsp73

I believe it would be A) checks and debit cards both withdraw money directly from the bank account. Although checks do not automatically withdraw, it will take a few days. Hope this helps!

3 0

2 years ago

Which of the following is not a possible r-value -0.3 -1.6 0.8 0.3

Sliva [168]

Answer: -1.6 is not a possible r-value.

Step-by-step explanation:

R-values range from -1 to +1. Out of all these numbers, -1.6 does not belong. Hence, -1.6 is not a r-value.

3 0

2 years ago

Find the unit rate. Round to the nearest hundredth, if necessary. $130 for 17 ft2. The unit rate is $ /ft2.

finlep [7]

Answer:

201

Step-by-step explanation:

I'm smart ok trust me ON this one if I'M wrong at least I tried

3 0

3 years ago