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3 years ago

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Paisley drove to his new college and then came back home. His round trip was 212 miles. Paisley drives a Honda and gets 35 miles

for every gallon of gas. If Paisley needs to make 12 round trips, how much will it cost him in gas? Assuming the price of gas stays at $3.60.

1 answer:

san4es73 [151]3 years ago

7 0

Answer:

because of this the awnser

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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

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

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

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3 years ago

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Mumz [18]

Answer:

(7,2)45 units sqrd

Step-by-step explanation:

45 units sqrd because its a 5x9

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3 years ago

Sarah got a 80% on her pre algebra final exam. if there were 75 questions total how many did sarah get correc? How many did she

stepladder [879]

She got 60 correct and 15 wrong. She got 11.25% wrong

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2 years ago

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Simplify the expression 4(x − 5)(x2 + x + 2).

N76 [4]

Answer:

4x^3 − 16x^2 − 12x − 40

Step-by-step explanation:

= 4(x)(x^2 +x +2) +4(-5)(x^2 +x +2) . . . use the distributive property

= 4x^3 +4x^2 +8x -20x^2 -20x -40 . . . . and again

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3 years ago

wich of the following choices describe the conversion ratio you would use to convert miles to yards check all that apply

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You could do:

1 mile : 1,760 yards.

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So you get 2 miles and 980 yards.

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