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Sati [7]
3 years ago
9

A coat of paint of thickness 0.06 cm is to be applied uniformly to the faces of a cube of edge 33 cm. Use differentials to find

the approximate amount of paint required for the job, correct to the nearest cubic centimeter.
Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

392 cm^3

Step-by-step explanation:

Let X represent the edge of a cube

let t represent the thickness of the paint.

Volume of a cube = x^3

V = x^3

Differentiate V with respect to x

dV/dx = 3x^2

dV = 3x^2 dx

dx = 2dt

= 2(0.06)

= 0.12

dV = 3(33)^2 (0.12)

dV = 392.04cm^3

dV = 392 cm^3

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laila [671]

Answer:

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

Step-by-step explanation:

Given:

a line y=7x

To Find:

Equation of line passing through ( 2, 2) and is parellel to the line y=7x

Solution:

y=7x     ...........Given

Comparing with,

y=mx

Where m =slope

We get

Slope = m = 7

We know that parallel lines have Equal slopes.

Therefore the slope of the required line passing through (2 , 2) will also have the slope = m = 7.

Now the equation of line in slope point form given by

(y-y_{1})=m(x-x_{1})

Substituting the points and so we will get the required equation of the line,

(y-2)=7(x-2)=7x-14\\\\y=7x-12......Equation\ of\ line

Therefore, equation of the line that passes through (2,2) and is parellel to the line y=7x is y=7x-12

4 0
3 years ago
Which pair represents equivalent ratios?
TEA [102]

Answer:

D

Step-by-step explanation:

We can test each pair making each ratio into its simplest form.

For A 2/3 is already in its simplest form and 9/15=3/5. they are not equivalent.

For B, 5/8 is already in its simplest form and 15/21=5/7. they are not equivalent.

For C, 3/12=1/4, and 6/18=1/3. They are not equivalent.

For D, 4/10=2/5, and 12/30=2/5. They are equivalent.

5 0
1 year ago
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Find the geometric mean of 16 and 36. Write your answer in simplest form. The geometric mean is​
Ede4ka [16]

Answer:

Step-by-step explanation:

the geo. mean is the nth root of the product of n numbers

Here there are two numbers; geo. mean is the square root of their product

g = √(16 * 36)

g = 4 * 6

g = 24

8 0
2 years ago
What is the slope of a line perpendicular to the line whose equation is 9x-6y=36
VladimirAG [237]

Answer: -2/3

Step-by-step explanation:

6 0
3 years ago
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Jan spent the day at the mall. She came home with $9.50. She spent $5.25 on earrings and 3 times that amount on a shirt. How muc
ki77a [65]

Answer:

She took $30.50 to the mall originally

Step-by-step explanation:

Let us solve the problem step by step

∵ She spent $5.25 on earrings

∵ The price of the shirt is 3 times the price of the earrings

∴ The price of the shirt = 3 × 5.25 = 15.75

∴ She spent $15.75 on the shirt

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∵ She came home with $9.50

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- Add them to find her original amount of money

∴ She took = 21 + 9.50 = 30.50

∴ She took $30.50 to the mall originally

5 0
2 years ago
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