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3 years ago

The volume of a cube is 343 cubic centimeters. What is the surface area of the cube?

Mathematics

1 answer:

vladimir1956 [14]3 years ago

7 0

Not sure but I think u have to get the perimeter then add the top of the cube

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What is 5/8 divided by 32

Citrus2011 [14]

First you need to convert 32 into a fraction, so just add 1 as the denominator; 5/8 ÷ 32/1. But you can't divide fractions, so multiply by the reciprocal. 5/8 · 1/32. You should get 5/256 as your answer. I hope that helped!

7 0

3 years ago

31600 rounded to the nearest thousand is what

Zigmanuir [339]

32000 is your answer

hope this helps

4 0

3 years ago

A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: Rate of change measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0

2 years ago

Find the area of a circle whose circumference is the same as the perimeter of a square of side 22 cm. (Take π = 22/7)

Nadya [2.5K]

Answer:

Perimeter of a square=circumference of circle

4×22=2πr

44=πr

r=14

Area of circle=πr2

22/7×14×14

28×22

616

5 0

2 years ago

Read 2 more answers

Which expression is a cube root of -1+ i sqrt 3? (multiple choice)

lara31 [8.8K]

Answer:

see below

Step-by-step explanation:

Find the magnitude (-1)^2 + (sqrt3)^2 = m^2 m = 2

find the angle arctan (sqrt3/-1) = 120 degrees

the cube root would then be

$\sqrt[3]{2}$ (cos 40 + isin 40)

6 0

2 years ago