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3 years ago

Is this 1/3 7/21 a proportion

Mathematics

2 answers:

Brut [27]3 years ago

3 0

Yes they are proportionate

Yanka [14]3 years ago

3 0

Answer:

Yes it is !

Step-by-step explanation:

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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

PLEASE HELP END OF 1/4 TODAY!!!!!!!!!

Bad White [126]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

The proper measuring distance in the U.S. system

mestny [16]

The answer would be <span> inch, foot, yard, and mile</span>.

6 0

3 years ago

Explain why each statement is true. 5 + 2 + 3 = 5 + (2 + 3)

Y_Kistochka [10]

Answer:

Associative property of addition. Grouping different addends does not change the sum.

Step-by-step explanation:

5 + 2 + 3 = 5 + (2 + 3)

10 = 5 + (5)

10 = 10

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3 years ago

Aidan drops a rock from a cliff after 4.0s, the rock is moving at 39.2m/s what is the acceleration of the rock

Cerrena [4.2K]

Here,

time=4.0s

velocity=39.2m/s

Formula:

a=v/t

=39.2/4.0

=9.8 (ms-2)

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3 years ago