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4 years ago

Surface area of a cylinder

1 answer:

7 0

You can take pi as 22/7 or 3.14

CSA of cylinder = 2*pi*r*h
TSA of cylinder = 2*pi*r^2 + 2*pi*r*h
= 2*pi* ( h+r)

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Find dx/dt when y=2 and dy/dt=1, given that x^4=8y^5-240 dx/dt=

katrin2010 [14]

Answer:

The value of $\frac{dx}{dt}$ is $\frac{160}{x^3}$ .

Step-by-step explanation:

The given equation is

$x^4=8y^5-240$

We need to find the value of $\frac{dx}{dt}$ .

Differentiate with respect to t.

$4x^3\frac{dx}{dt}=8(5y^4)\frac{dy}{dt}-0$ $[\because \frac{d}{dx}x^n=nx^{n-1},\frac{d}{dx}C=0]$

$4x^3\frac{dx}{dt}=40y^4\frac{dy}{dt}$

It is given that y=2 and dy/dt=1, substitute these values in the above equation.

$4x^3\frac{dx}{dt}=40(2)^4(1)$

$4x^3\frac{dx}{dt}=40(16)(1)$

$4x^3\frac{dx}{dt}=640$

Divide both sides by 4x³.

$\frac{dx}{dt}=\frac{640}{4x^3}$

$\frac{dx}{dt}=\frac{160}{x^3}$

Therefore the value of $\frac{dx}{dt}$ is $\frac{160}{x^3}$ .

4 0

3 years ago

IM CONFUSED ON THIS Find the missing length. The triangles are proportional

ivanzaharov [21]

5/8 = 0.625

6 / 9.6 = 0.625

12.8 * 0.625 = 8

x = 8

3 0

4 years ago

There are 12 appetizers; 4 are soups, 6 contain meat, and 2 do not. In how many different orders can 3 different appetizers be b

solniwko [45]

72 different orders, each soup can have a different meat and other* so take 4* 6* 3 because that is how many different combanations you can do

6 0

4 years ago

Mrs. Miller spends 15% of each weekday traveling in her car. How many hours per day does she spend in her car during the week? (

andrezito [222]

Answer:

18 hours

Step-by-step explanation:

There are 24 hours in a day and we have 5 weekdays per week.

15% of 24 hours

15/100×24

0.15×24

=3.6 hours

Mrs Miller spends 3.6 hours of each weekday traveling in her car.

There are 5 weekdays in a week to include: Monday, Tuesday, Wednesday, Thursday and Friday.

If she spends 3.6 hours per weekday

Then,

During the week, she will spend

3.6 hours× 5 weekdays

=18 hours

She will spend 18 hours per week traveling in her car.

8 0

3 years ago

If a tessellation is regular, how many sides can the tessellating regular polygon have?

inn [45]

For the answer to the question above, I think that only the regular polygons that tessellate are equilateral triangles, squares, and regular hexagons.
I hope my answer helped you. Have a nice day!

4 0

3 years ago

Read 2 more answers