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3 years ago

7

How do you write 3.27 as a decimal number rounded to the nearest thousandth

2 answers:

Tasya [4]3 years ago

8 0

That is already rounded to the nearest thousandth!

shusha [124]3 years ago

8 0

I need more numbers unless 3.270 counts

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The radius of a spherical balloon is measured as 20 inches, with a possible error of 0.03 inch. Use differentials to approximate

soldi70 [24.7K]

Answer:

a) $V = 33510.322\,in^{3}$ , b) $A_{s} = 5026.548\,in^{2}$ , c) $\% V = 0.450\,\%$ , $\%A_{s} = 0.300\,\%$ .

Step-by-step explanation:

The volume and the surface area of the sphere are, respectively:

$V = \frac{4}{3}\pi \cdot r^{3}$

$A_{s} = 4\pi \cdot r^{2}$

a) The volume of the sphere is:

$V = \frac{4}{3}\pi \cdot (20\,in)^{3}$

$V = 33510.322\,in^{3}$

b) The surface area of the sphere is:

$A_{s} = 4\pi \cdot (20\,in)^{2}$

$A_{s} = 5026.548\,in^{2}$

c) The total differentials for volume and surface area of the sphere are, respectively:

$\Delta V = 4\pi\cdot r^{2}\,\Delta r$

$\Delta V = 4\pi \cdot (20\,in)^{2}\cdot (0.03\,in)$

$\Delta V = 150.796\,in^{3}$

$\Delta A_{s} = 8\pi\cdot r \,\Delta r$

$\Delta A_{s} = 8\pi \cdot (20\,in)\cdot (0.03\,in)$

$\Delta A_{s} = 15.080\,in^{2}$

Relative errors are presented hereafter:

$\%V = \frac{\Delta V}{V}\times 100\%$

$\%V = \frac{150.796 \,in^{3}}{33510.322\,in^{3}}\times 100\,\%$

$\% V = 0.450\,\%$

$\% A_{s} = \frac{\Delta A_{s}}{A_{s}}\times 100\,\%$

$\% A_{s} = \frac{15.080\,in^{2}}{5026.548\,in^{2}}\times 100\,\%$

$\%A_{s} = 0.300\,\%$

4 0

3 years ago

I need help with 3 math questions, please! 15 points!

GaryK [48]

3. The answer should be : Yes, the number is written in scientific notation.
4. the answer is : Yes, the number is written in scientific notation.
5. The answer is option 3

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2 years ago

Which one of the following is not a way to represent the solution of the inequality 2(x-1)>-12

Artemon [7]

2x-2>-12
2x>-10
x>-5
hope this helps!

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3 years ago

Graph a system of two equations that has a single solution of -2,-3

Amanda [17]

One possible system of two equations is ...
x = -2
y = -3 .

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3 years ago

Tbh i’m too lazy to do it‍♀️

rusak2 [61]

Answer:

115.56 but since you have to round to the nearest km is 116

Step-by-step explanation:

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3 years ago