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2 years ago

1. Angelina received 10% off a $50 pair of shoes. How much did she save?

Mathematics

1 answer:

Brut [27]2 years ago

8 0

Answer:

Step-by-step explanation:

Multiply 0.10 by $50

So Angelina saved $5

Hope this helped :)

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Can someone help me with this please? It's due tomorrow

Strike441 [17]

Answer:

432

Step-by-step explanation:

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2 years ago

Read 2 more answers

An ostrich run 6 mile in12 minut how far he could come in 40 minutes

bogdanovich [222]

The ostrich can run 20 miles in 40 minutes.

<u>Solution:</u>

Given that, An ostrich run 6 mile in 12 minutes

We have to find how far he could come in 40 minutes

Now, according to the given information

Ostrich runs 6 miles ⇒ 12 minutes

Then, “n” miles ⇒ 40 minutes

Now, by criss cross multiplication we get,

$\begin{array}{l}{\rightarrow 6 \times 40=n \times 12} \\\\ {\rightarrow 40=n \times 2} \\\\ {\rightarrow n=20}\end{array}$

Hence, the ostrich can run 20 miles in 40 minutes

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2 years ago

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Nikolay [14]

Replace x with π/2 - x to get the equivalent integral

$\displaystyle \int_{-\frac\pi2}^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

but the integrand is even, so this is really just

$\displaystyle 2 \int_0^{\frac\pi2} \cos(\cot(x) - \tan(x)) \, dx$

Substitute x = 1/2 arccot(u/2), which transforms the integral to

$\displaystyle 2 \int_{-\infty}^\infty \frac{\cos(u)}{u^2+4} \, du$

There are lots of ways to compute this. What I did was to consider the complex contour integral

$\displaystyle \int_\gamma \frac{e^{iz}}{z^2+4} \, dz$

where γ is a semicircle in the complex plane with its diameter joining (-R, 0) and (R, 0) on the real axis. A bound for the integral over the arc of the circle is estimated to be

$\displaystyle \left|\int_{z=Re^{i0}}^{z=Re^{i\pi}} f(z) \, dz\right| \le \frac{\pi R}{|R^2-4|}$

which vanishes as R goes to ∞. Then by the residue theorem, we have in the limit

$\displaystyle \int_{-\infty}^\infty \frac{\cos(x)}{x^2+4} \, dx = 2\pi i {} \mathrm{Res}\left(\frac{e^{iz}}{z^2+4},z=2i\right) = \frac\pi{2e^2}$

and it follows that

$\displaystyle \int_0^\pi \cos(\cot(x)-\tan(x)) \, dx = \boxed{\frac\pi{e^2}}$

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1 year ago

If hoan was asked to drow a right angke how miny right agnkes are in a right angle

krek1111 [17]

I might not understand this correctly because of the misspellings, but if you draw a right angle. There is only 1 right angle... in a right angle.

4 0

3 years ago

HELP When 2((Three-fifths x + 2 and three-fourths y minus one-fourth x minus 1 and one-half y + 3)) is simplified, what is the r

lesya692 [45]

Answer:

<h2> StartFraction 7 over 10 EndFraction x + 2 and one-half y + 6</h2>

Step-by-step explanation:

Given the expression $2(\frac{3x}{5}+2\frac{3y}{4}-\frac{x}{4}-1 \frac{1}{2}y+3)$

To simplify the expression, we need to first collect the like terms of the functions in parentheses as shown;

$= 2(\frac{3x}{5}-\frac{x}{4}-1 \frac{1}{2}y+2\frac{3}{4}y+3)\\= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\$

Then we find the LCM of the resulting function

$= 2(\frac{3x}{5}-\frac{x}{4}- \frac{3}{2}y+\frac{11}{4}y+3)\\= 2(\frac{12x-5x}{20} - (\frac{6y-11y}{4})+3)\\= 2(\frac{7x}{20}- (\frac{-5y}{4})+3 )\\= 2(\frac{7x}{20}+ \frac{5y}{4}+3 )\\= \frac{7x}{10} + \frac{5y}{2} +6\\= \frac{7x}{10} + 2\frac{1}{2}y+6\\$

The final expression gives the required answer

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2 years ago