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3 years ago

13

You are at the store you buy a jacket that is regularly priced at $84 it is on sale for 30% off. When you take it up to the cash

ier they add the 8% tax. What is the price of the jacket after the discount and the tax? (Remember the tax is added to the item after the discount)

1 answer:

Zepler [3.9K]3 years ago

4 0

$63.54 is the price after the discount and tax

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Which set of ratios could be used to determine if one triangle is a dilation of the other

Lisa [10]

Answer:

See explanation

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

Step-by-step explanation:

The two triangles are similar if the ratio of the corresponding sides are proportional.

The ratio of the corresponding sides are:

$\frac{3.6}{3} = 1.2$

$\frac{5.4}{4.5} = 1.2$

$\frac{6}{5} = 1.2$

The set of ratios which could be used to determine if one triangle is a dilation of the other is

$\frac{3.6}{3} = \frac{5.4}{4.5} = \frac{6}{5}$

If there are multiple correct options then check this one too.

$\frac{3}{3.6} = \frac{4.5}{5.4} = \frac{5}{6}$

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3 years ago

Which ordered pairs in the form (x, y) are solutions to the equation<br><br> 7x−5y=28?

belka [17]

Answer:7x + -5y = -28

(-4, _)

(1, _)

(_, 14)

Step-by-step explanation:

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2 years ago

Use the definition of the derivative to differentiate v=4/2 pie r^3

nata0808 [166]

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

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$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}$

$\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)$

$\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}$

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

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2 years ago

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fgiga [73]

Step-by-step explanation:

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