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Alchen [17]
3 years ago
9

This is a calculus question.

Mathematics
2 answers:
yuradex [85]3 years ago
7 0

Answer:

= 2 cm^2/sec

Step-by-step explanation:

side of cube ---- x cm

volume = x^3

d(volume)/dt = 3x^2 dx/dt

when c = 20, d(volume)/dt = 10 cm^3/sec

10 = 3(20^2) dx/dt

dx/dt = 10/1200 = 1/120 cm/sec

Surface area = SA = 6x^2

d(SA)/dt = 12x dx/dt

so when x = 20, as above

d(SA)/dt = 12(20)(1/120) cm^2/sec

= 2 cm^2/sec

DiKsa [7]3 years ago
3 0

Answer:

2 cm^2/sec

Step-by-step explanation:

side of cube ---- x cm

volume = x^3

d(volume)/dt = 3x^2 dx/dt

when c = 20, d(volume)/dt = 10 cm^3/sec

10 = 3(20^2) dx/dt

dx/dt = 10/1200 = 1/120 cm/sec

Surface area = SA = 6x^2

d(SA)/dt = 12x dx/dt

so when x = 20, as above

d(SA)/dt = 12(20)(1/120) cm^2/sec

= 2 cm^2/sec

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GarryVolchara [31]
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6 0
3 years ago
a teacher invested $600 in an account that paid 2% annual simple interest the teacher did not maker any additional deposits or w
horrorfan [7]

Answer:

$36.00

Step-by-step explanation:

The formula for simple interest is I = P x r x t where P is the principal amount, $600.00, r is the interest rate, 2% per year, or in decimal form, 2/100=0.02, and t is the time involved, 3....year(s) time periods. So t is 3....year time periods. To find the simple interest, we multiply 600 × 0.02 × 3 to get that the interest is $36.00 . Usually now, the interest is added onto the principal to figure some new amount after 3 year(s), or 600.00 + 36.00 = 636.00.

4 0
3 years ago
A helicopter's rotor sweeps out an area of 121 pi square
Nuetrik [128]

Answer:

<h2>22 meters.</h2>

Step-by-step explanation:

It's important to notice that the area is circular, which is defined by

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Replacing given values and solving for r, we have

121 \pi = \ pi r^{2} \\121=r^{2}\\ r= \sqrt{121}=11

But, the diameter is twice the radius, so

d=2r=2(11)=22

Therefore, the diameter is 22 meters.

6 0
4 years ago
Help solving this question<br> 5x + yb = zmh
BigorU [14]
5X+yb=zmh
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6 0
3 years ago
1 Marlena has a bag of coins. The bag
poizon [28]

Answer:

The probability is 1/6

Step-by-step explanation:

Firstly, we need to get the total number of coins

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We have this as;

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We have this as;

4/24 = 1/6

8 0
3 years ago
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