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12345 [234]
3 years ago
15

The Hernandez family is evenly splitting 7 liters of gasoline between their 4 cars.

Mathematics
2 answers:
Elan Coil [88]3 years ago
5 0

Answer:

1\frac{3}{4} \  liters

Step-by-step explanation:

7 liters of gasoline is shared between 4 cars. So 7÷ 4

\frac{7}{4}=1\frac{3}{4} \ liters

klemol [59]3 years ago
4 0

Answer:

Each car should get 1.7, 17/10 or 1 7/10

Step-by-step explanation:

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Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)
DaniilM [7]
5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0

Now the zero product property tells us that there are two cases where this is true,

\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of \dfrac\pi2, so x=\dfrac{(2n+1)\pi}2 where n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}

which occurs twice in the interval [0,2\pi) for x=\arcsin\dfrac3{10} and x=\pi-\arcsin\dfrac3{10}. More generally, if you think of x as a point on the unit circle, this occurs whenever x also completes a full revolution about the origin. This means for any integer n, the general solution in this case would be x=\arcsin\dfrac3{10}+2n\pi and x=\pi-\arcsin\dfrac3{10}+2n\pi.
6 0
3 years ago
Solve for the value of z<br>z(z-6)=0​
hoa [83]
The answer is D.

Explanation:

I decided to start with 6 because it seemed to be the easiest. So you would out 6 in the place of ‘z’

6 ( 6 - 6 ) = 0

Here you would do the parentheses first

6 ( 0 ) = 0
6 * 0 = 0
0 = 0

You’re not done bc it could be both 6 and -6 So input where ‘z’ is and you should get

-6 ( -6 - 6 ) = 0
-6 ( -12 ) = 0
72 doesn’t equal 0

Hope this helped

6 0
3 years ago
You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. Wh
erastova [34]

Answer:  c) 3.2 inches

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

Let x represent the width of the frame

Then the area of the frame is:

(x + 12)(x + 14) = 261.44

Rewrite it in Standard form of a quadratic equation:

x² + 26x + 168 = 261.44

x² + 26x - 93.44 = 0

Use Quadratic Formula to solve for x:

x=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-26+\sqrt{26^2-4(1)(-93.44)}}{2(1)}\\\\\\x=\dfrac{-26+\sqrt{1049.76}}{2}\\\\\\x=\dfrac{-26+32.4}{2}\\\\\\x=\dfrac{6.4}{2}\\\\\\x=\large\boxed{3.2}

4 0
3 years ago
PLZ HELP ASAP with this problem plz
Evgesh-ka [11]

Answer:

Answer Choice C

Step-by-step explanation:

Because it is dilated by a factor of 3

4 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1111111111
Bond [772]

Answer:

261

Step-by-step explanation:

4 0
3 years ago
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