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3 years ago

What is the radius of a circle with an area of 64 square feet

Mathematics

1 answer:

butalik [34]3 years ago

6 0

Answer:

r = +(8 ft) / (√π)

Step-by-step explanation:

Formula for the area of a circle: A = πr²

Here, 64 ft^2 = πr²

Solving for r², we get

64 ft^2

r² = ---------------

so that r is the positive square root of this expression:

64 ft^2

r = +sqrt ( -------------- )

= +(8 ft) / (√π)

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = $xyz$

with subject to $x+2y+3z=9$

So, let $z=\dfrac{9-x-2y}{3}$

So, Volume becomes,

$V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}$

Partially derivative wrt x and y we get that

$9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9$

By solving these two equations, we get that

$x=3,y=\dfrac{3}{2}$

So, $z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1$

So, Volume of largest rectangular box would be

$xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5$

Hence, the volume of largest rectangular box is 4.5 units.

4 0

3 years ago

Is the following a reflection,<br> rotation or translation?

Blababa [14]

Rotation

It’s rotating 90 degrees counterclockwise

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2 years ago

A table costs Rs 720 to make. He sells it for Rs 920. What percentage of profit did he earn?

jenyasd209 [6]

Answer:

27 7/9%

Step-by-step explanation:

Take the selling price and subtract the cost

920 -720 = 200

Divide it by the cost

200/720

.27777777

Change to percent form

27.777777%

27 7/9%

3 0

3 years ago

Read 2 more answers

Lara has 75 magazines She sells them for $3 each this situation is modeled by y=3x whereby is the amount of money she makes and

drek231 [11]

Hello!

Since she can not make negative money and the maximum amount of money she can make is 225 so the domain is

$0 \leq x \leq 225$

Hope this helps!

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3 years ago

The points shown on a graph represent the numbers in a geometric sequence.

WARRIOR [948]

Answer:

Step-by-step explanation:

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2 years ago