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3 years ago

27.5+3.094+4.86 plz show all steps

Mathematics

2 answers:

marshall27 [118]3 years ago

3 0

27.5 + 3.094 = 30.594
30.594 + 4.86 = 35.454

your answer would be 35.454

hope this helped

Delicious77 [7]3 years ago

3 0

The answer will be 35.454. Hope it help!

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Zadanie optymalizacyjne z matematyki. Proszę o rozwiązanie i wyjaśnienie

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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

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

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3 years ago

Find the range of f (x) = - 1.8x + 2 for the domain {–1, 1, 3, 4}.

Feliz [49]

Answer:

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3 years ago

Sarah and amanda each have 2 bags with 4 marbles in each .how many marbles do they have altogether?

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3 years ago

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H=A/0.5b isolate h
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3 years ago

Calculate the percentage change (increase or decease) that occurs when:

SashulF [63]

The first step is to find the CHANGE. This is done by subtracting the two values and taking the absolute value. Next step is to find the ratio of the change to the original and multiplying by 100% to make it a percentage.

So;

a) change = Ι60 - 25Ι = 35.

ratio of change to original = 35:25,

multiplying by 100% will give 35/25 × 100% = 140%.

Hence it is a 140% INCREASE.

b) change = | 30 - 66 | = 36

the ratio is 36:66

multiplying by 100% = 36/66 × 100% = 0.545454... ×100% ≈ 54.5%

Hence it is a 54.5% DECREASE.

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4 0

3 years ago