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3 years ago

Solve each equation 3y - 4 = 6 - 2y

Mathematics

1 answer:

ikadub [295]3 years ago

4 0

Answer:

y = 2

Step-by-step explanation:

3y - 4 = 6 - 2y

+2y +2y

5y - 4 = 6 (new equation)

+4 +4

5y = 10 (new equation)

/5 /5

y = 2

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Find the exact value of sin2 theta given sin theta =5/13, 90°<theta <180°

Zepler [3.9K]

Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.

$\bf sin(\theta )=\cfrac{\stackrel{opposite}{5}}{\stackrel{hypotenuse}{13}}\impliedby \textit{now let's find the \underline{adjacent side}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}$

$\bf \pm\sqrt{13^2-5^2}=a\implies \pm\sqrt{144}=a\implies \pm 12 =a \implies \stackrel{II~quadrant}{-12=a}
\\\\\\
therefore \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{-12}}{\stackrel{hypotenuse}{13}}
\\\\
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3 years ago

In triangle ABC below, BD is the altitude. Point A represents Omari's house, point C represents the restaurant where Omari works

tester [92]

Answer:

Step-by-step explanation:

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3 years ago

If x=z+8 where z varies inversely as y and z=2 when y=3 find relation between y and x?

sattari [20]

Answer:

y = 6/(x - 8).

Step-by-step explanation:

z = k/y where k is a constant

2 = k/3

k = 6.

So z = 6/y

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xy = 6 + 8y

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2 years ago

Ed is a car salesman. he makes 1.5% commission on each car he sells. if he made $397.50 on the last car he sold,find the sales p

pentagon [3]

Answer:

$26,500.

Step-by-step explanation:

It is given that Ed is a car salesman. he makes 1.5% commission on each car he sells.

He made $397.50 on the last car he sold.

We need to find the sales price of the car.

Let x be the selling price of the car.

1.5% of x = $397.50

$x\times \dfrac{1.5}{100}=397.50$

$0.015x=397.50$

Divide both sides by 0.015.

$x=\dfrac{397.50}{0.015}$

$x=26,500$

Therefore, the sales price of the car is $26,500.

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Answer:

Step-by-step explanation:

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