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IgorC [24]
3 years ago
11

State the degrees of freedom and explain how you calculated it by hand.

Mathematics
1 answer:
WITCHER [35]3 years ago
3 0
20 points, 20 degrees of freedom

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A cube with 2 inch sides is placed on a cube with 3 inch sides. Then a cube with 1 inch sides is placed on the 2 inch cube. What
Taya2010 [7]

Answer:

let's try the "Divide and Conquer" method, that is we break down the problem into pieces and solve each piece until we arrive at the answer.

the formula for the surface area of the cube is:

SA = 6s^2; s is the length of one side of the cube

for the 3-inch cube

SA = 6(3^2)

SA = 6(9)

SA = 54 in^2

note however, that the actual surface area is less the area occupied by the 2-inch cube place on the 3-inch cube, which is

A = s^2; since this is a square

A = 2^2

A = 4 in^2

the actual SA (aSA) therefore of the 3-inch cube is

aSA = 54 - 4 = 50 in^2

for the 2-inch cube

SA = 6s^2

SA = 6(2^2)

SA = 6(4)

SA = 24 in^2

to solve for the actual SA of the 2-inch cube, we subtract the area which is in contact with the 3-inch cube and the 1-inch cube

aSA = 24 - 2^2 - 1^2

aSA = 24 - 4 - 1

aSA = 19 in^2

for the 1-inch cube

SA = 6s^2

SA = 6(1^2)

SA = 6 in^2

the actual surface area is less the area in contact with the 2-inch cube

aSA = 6 - 1^2

aSA = 5 in^2

the surface area of the three cube tower will just be the sum of the aSA of the three cubes

SA = 50 + 19 + 5

SA = 74 in^2   ans

Step-by-step explanation:

5 0
3 years ago
-2
Elodia [21]

Answer:

It would be the 2nd one

Step-by-step explanation:

4 0
3 years ago
Solve logarithmic equation: ln a=4 HELP
Olin [163]
What’s the question lol
5 0
2 years ago
What is the value of x in the equation below?
belka [17]
remember
ln(a^b)=bln(a)
ln(e)=1
so
ln(e^x)=xln(e)=x


1+2e^{x+1}=9
minus \space\ 1 \space\ both \space\ sides
2e^{x+1}=8
divide \space\ both \space\ sides \space\ by \space\ 2
e^{x+1}=4
take \space\ ln \space\ of \space\ both \space\ sides
ln(e^{x+1})=ln(4)
(x+1)ln(e)=ln(4)
x+1=ln(4)
minus \space\ 1 \space\ from \space\ both \space\ sides
x=ln(4)-1
answer \space\ is \space\ C=ln(4)-1
5 0
3 years ago
Read 2 more answers
Happy new year, <br> add 2000 + 21 = 2021<br> trying to be fun and creative.
uranmaximum [27]

HAPPY NEW YEAR:)

not only today

always be fun and creative

3 0
2 years ago
Read 2 more answers
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