All categories

3 years ago

Solve for y Pls it fast

Mathematics

1 answer:

Zigmanuir [339]3 years ago

7 0

Answer: y = 6

Step-by-step explanation:

The small triangle MNO is similar to the big triangle LNP, which means their sides are proportional

$\text{Small}\triangle \quad \text{Big}\triangle \\\\\\\dfrac{MN}{ON}=\dfrac{LN}{PN}\\\\\\\dfrac{24}{y}=\dfrac{9+24}{6+y}\\\\\\24(6+y)=y(9+24)\\144+24y=33y\\\\144=9y\\\\\large\boxed{16=y}$

You might be interested in

Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

Use the table to find the ratio. Enter the ratio as a fraction in simplest form.

snow_tiger [21]

Answer:

4/19

Step-by-step explanation:

8 0

2 years ago

Find the inverse of the function: f(x) = 3x + 6

natta225 [31]

Answer:

x = -2

Step-by-step explanation:

Pull out like factors :

-3x - 6 = -3 • (x + 2)

Solve : -3 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solve : x+2 = 0

Subtract 2 from both sides of the equation :

x = -2

4 0

3 years ago

A restaurant worker server earns a base salary of $6 per hour plus tips. If he averages $12 per hour in tips, how many hours mus

zhannawk [14.2K]

18.5 hours

To solve this problem, you first need to figure out the average amount of money per hour the worker earns.

That would be the base salary plus the average tips per hour. So

$6 + $12 = $18

Then to figure out how many hours the worker needs to work, divide the goal by the hourly earnings. So

$333 / $18 = 18.5 hours.

Therefore on average, it will take 18.5 hours to earn $333, assuming a base salary of $6/hour and an average of $12 in tips per hour.

3 0

3 years ago

The price of a notebook in 2012 is $2000.

lozanna [386]

First, find 30% of 2,000. To do so you need to convert 30% into a decimal by dividing it by 100.

30% ⇒ 0.30

Now multiply 0.30 by 2,000 to find 30% of 2,000.

2,000 × 0.30 = 600

Subtract 600 from 2,000 to find the price of the notebook in 2013.

2,000 - 600 = 1,400

Now find 30% of 1,400 using the same process.

1,400 × 0.30 = 420

Subtract 420 from 1,400 to find the price of the notebook in 2014.

1,400 - 420 = 980

<h2>Answer:</h2>

The value of the notebook in 2014 is $980.

7 0

2 years ago

Read 2 more answers