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3 years ago

Find the distance between the points (2,4) and (6,1).

Mathematics

1 answer:

balu736 [363]3 years ago

4 0

Answer:

Step-by-step explanation:2 and 6 are the first ones in each set so 6-2 is 4.4 and 1 are the second ones in each set 1-4 is -3 4+-3 is 1.

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The radius of the base of a cylinder is increasing at a rate of 7 millimeters per hour. The height of the cylinder is fixed at 1

Ilya [14]

Answer:

The rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

Step-by-step explanation:

Given:

Rate of increase of base of radius of base of cylinder = 7 mm/hr

Height of cylinder = 1.5 mm

Radius at a certain instant = 12 mm

To find rate of change of volume of cylinder at that instant.

Solution:

Let $r$ represent radius of base of cylinder at any instant.

Rate of increase of base of radius of base of cylinder can be given as:

$\frac{dr}{dt}=7\ mm/hr$

Volume of cylinder is given by:

$V=\pi\ r^2h$

Finding derivative of the Volume with respect to time.

$\frac{dV}{dt}=\pi\ h\ 2r\frac{dr}{dt}$

Plugging in the values given:

$\frac{dV}{dt}=\pi\ (1.5)\ 2(12)(7)$

$\frac{dV}{dt}=252\pi$

Using $\pi=3.14$

$\frac{dV}{dt}=252(3.14)$

$\frac{dV}{dt}=791.28\ mm^3/hr$ (Answer)

Thus rate of change of the volume of the cylinder at that instant = $791.28\ mm^3/hr$

6 0

3 years ago

Grandma usually puts 8 brownies into each of 4 containers, but now she has 8 containers. If she wants to divide the 32 brownies

tatiyna

She put 4 brownies in each container.

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Solve the value of x 5(2x+1)

Margaret [11]

The value of x is -1/2

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the formula for the volume of a cone can be constructed using what fraction of the area of a circle formula?

ss7ja [257]

$\bf \textit{area of a circle}\\\\
A=\pi r^2\\\\
-------------------------------\\\\
\textit{volume of a cone}\\\\
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3 years ago

Consider the reduction of the triangle.

jasenka [17]

Answer:

What is the scale factor? 1/10

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What is the length of B? 8.5

Step-by-step explanation:

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2 years ago

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