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3 years ago

A turtle pack that normally sells for $39 is on sale for 33% off. Find the

Mathematics

1 answer:

Paul [167]3 years ago

3 0

Answer:

67% discounted

555.2

Step-by-step explanation:

39 - 13 = 26

48 x 1.15 = 55.2

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Jerome is writing a coordinate proof to show that the midsegment of a trapezoid is parallel to its bases. He starts by assigning

Bingel [31]

Answer:

coordinates of R(b,c)

slope of NM is 0.

Step-by-step explanation:

The midpoint of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

$(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

The midpoint of the line segment NK is given by

$(\frac{0+2b}{2},\frac{0+2c}{2})$

∴R(b,c)

The slope of the line joining the points (x₁,y₁) and (x₂,y₂) is given by

$m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Slope of RS is

$m_{RS} =\frac{c-c}{a+d-b} = 0$

Hence

coordinates of R(b,c)

and slope of NM is 0.

8 0

3 years ago

Read 2 more answers

I need help on this on this onr too anyone mind helping?

V125BC [204]

The correct answer should be 23 3/4 miles
I hope this helps
YOU'RE WELCOME :D

4 0

3 years ago

Zadanie optymalizacyjne z matematyki. Proszę o rozwiązanie i wyjaśnienie

Yakvenalex [24]

Volume of the pyramid:

$V=\dfrac{s^2h}3$

Perimeter of the cross-section:

$40=\sqrt2\,s+2\sqrt{\dfrac{s^2}2+h^2}=\sqrt2\left(s+\sqrt{s^2+2h^2}\right)$

$\implies h=\sqrt{\dfrac{(20\sqrt2-s)^2-s^2}2}=\sqrt{400-20\sqrt2\,s}$

Area of the cross-section:

$P=\dfrac12(\sqrt2\,s)h=\dfrac{sh}{\sqrt2}$

$\implies P=\dfrac{s\sqrt{400-20\sqrt2\,s}}{\sqrt2}=s\sqrt{200-10\sqrt2\,s}$

First derivative test:

$\dfrac{\mathrm dP}{\mathrm ds}=\dfrac{20\sqrt2-3s}{\sqrt{4-\dfrac{\sqrt2}5s}}=0\implies s=\dfrac{20\sqrt2}3$

Then the height of the cross-section/pyramid is

$h=\sqrt{400-20\sqrt2\,s}=\dfrac{20}{\sqrt3}$

The volume of the pyramid that maximizes the cross-sectional area $P$ is

$V=\dfrac{\left(\frac{20\sqrt2}3\right)^2\frac{20}{\sqrt3}}3=\dfrac{16000}{27\sqrt3}$

5 0

3 years ago

Pls help i beg u pls

Harrizon [31]

The equation that models this relationship is y = 3x + 2.

5 0

3 years ago

Four yardequal Blank feet

jonny [76]

1 yard = 3 feet

3 * 4 = 12

So 4 yards is equal to 12 feet.

3 0

3 years ago

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