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3 years ago

WILL MARK BRAINLEST IF RIGHT. the radius of a circle is 2 feet. what is the area?

Mathematics

2 answers:

iogann1982 [59]3 years ago

6 0

Answer:

The area is 12.57

Step-by-step explanation:

I hope this helps!

kolezko [41]3 years ago

5 0

Answer:

12.57

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

THERE ARE 3 SANDWICHES, 3 SOUPS, 4 SALADS AND 2 DRINKS. IF EACH STUDENT HAD ONE OF EACH, HOW MANY DIFFERENT COMBINATIONS ARE POS

Maurinko [17]

All you have to do is multiply them all.
3*3*4*2=72

4 0

3 years ago

Find the measure of an angle with measure between 0° and 360° that is coterminal with an angle measuring –800°. °

expeople1 [14]

Just add 360 to -800 until you end up with an angle between 0 and 360:
-800+360=-440
-440+360=-80
-80+360=280

So the angle is 280 degrees.

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3 years ago

Read 2 more answers

Quadrilateral JKLM is rotated - 270° about the origin.

Lyrx [107]

Answer:

The rule for a rotation by 270° about the origin is (x,y)→(y,−x) .

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3 years ago

What is equivalent to 4 2/3

Svet_ta [14]

8
46
is equivalent to 4
23
because 4 x 2 = 8 and 23 x 2 = 46
12
69
is equivalent to 4
23
because 4 x 3 = 12 and 23 x 3 = 69
16
92
is equivalent to 4
23
because 4 x 4 = 16 and 23 x 4 = 92

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3 years ago