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3 years ago

I’d appreciate an answer ;)

Mathematics

1 answer:

aleksley [76]3 years ago

4 0

Answer: Hope you have a good day or night!

Step-by-step explanation:

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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

2 years ago

Mia practiced violin for 4⅛ hours per day for 5 days. How many hours did she practice?

Xelga [282]

Answer:

20 5/8

Step-by-step explanation:

convert mixed number into decimal by changing mixed number into an improper fraction then dividing

multiple by 5

boom you got your answer:p

5 0

2 years ago

Please answer asap !!

Phantasy [73]

Idk
Evidence everything

5 0

2 years ago

which can be the first step in finding the equation of the line that passes through points (5,-4) and (-1,8) in slope intercept

Kruka [31]

Answer:

Step-by-step explanation:

Find the Equation of a Line Given That You Know a Point on the Line And Its Slope. The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.

8 0

2 years ago

What is 9/36 equivalent to?

Ronch [10]

$\frac{9}{36}=\\\\\frac{9:3}{36:3}=\boxed{\frac{3}{12}}\\\\\frac{9:9}{36:9}=\boxed{\frac{1}{4}}\\\\therefore\ \frac{9}{36}=\frac{1}{4}\\\\so,\ next\ equivalent\ fractions\ are:\\\\\frac{1\cdot2}{4\cdot2}=\boxed{\frac{2}{8}}\\\\\frac{1\cdot4}{4\cdot4}=\boxed{\frac{4}{16}}\\\\\frac{1\cdot5}{4\cdot5}=\boxed{\frac{5}{20}}\\\vdots\\and\ an\ infinite\ number\ of\ other$

4 0

2 years ago