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3 years ago

When dividing 8,164 by 78.5, what is the place value of the last digit in the quotient?

Mathematics

2 answers:

Andreyy893 years ago

8 0

Answer:

ones i think

Step-by-step explanation:

loris [4]3 years ago

5 0

Answer:

Step-by-step explanation:

8164/78.5

(8164×2)/((78.5×2)

= 16328/157

= 104

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1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is

solong [7]

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

$V = \frac{1}{3}h\pi r^{2}$

Where:

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}]$

Since h = 4/3 r we have:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]$ (1)

With:

$\frac{dr}{dt}$ = 3 in/min

$r = 3 ft*\frac{12 in}{1 ft} = 36 in$

And by entering the above values into equation (1) we have:

$\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]$

$\frac{dV}{dt} = 16286 in^{3}/min$

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!

3 0

3 years ago

Eric bought a canoe for $400. The sales tax was 5.2%. What was his total cost?

N76 [4]

Answer:

420.8

Step-by-step explanation:

Tax = SalesAmount * TaxPercent

Tax = 400*0.052

Tax = 20.8 dollars

Total cost is 400+20.8

420.8

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djverab [1.8K]

The answer would be -20

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lawyer [7]

Answer:

4 I think

Step-by-step explanation:

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If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?

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