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3 years ago

A) Reetu sold a watch to Reshmi at 20% profit. Reshmi again sold the same watch to

Mathematics

1 answer:

atroni [7]3 years ago

6 0

Answer:

1250,Rs

Step-by-step explanation:

Let Reetu paid for the watch x Rs. Then Reetu sold the watch to Reshmi having 20% profit => the selling price is 1.2*x

Then Teshmi sold the wathes with 10% loss (or 0.9 from purchase price 1.2x) to Nikita, i.e. selling price is

1.2*x*0.9=1350

1.08*x=1350

x=1350:1.08

x=1250, Rs

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1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is

solong [7]

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

$V = \frac{1}{3}h\pi r^{2}$

Where:

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}]$

Since h = 4/3 r we have:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]$ (1)

With:

$\frac{dr}{dt}$ = 3 in/min

$r = 3 ft*\frac{12 in}{1 ft} = 36 in$

And by entering the above values into equation (1) we have:

$\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]$

$\frac{dV}{dt} = 16286 in^{3}/min$

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!

3 0

3 years ago

Which angels are corresponding angles? Check all that apply

Ray Of Light [21]

It is B, A, E, F. Hope that’s all of them <3

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2 years ago

Read 2 more answers

Hector is flying a kite. He has let out 86 feet

Kaylis [27]

Answer:

Hector's kite is 61.84 feet from the ground.

Step-by-step explanation:

The angle of elevation of the kite is 42°15’30” when converted to decimals, it is $42.258333^{0}$ ≅ $42.26^{0}$

Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,

Sin θ = $\frac{opposite}{hypotenus}$

Sin $42.26^{0}$ = $\frac{x}{86}$

⇒ x = 86 x Sin $42.26^{0}$

= 86 x 0.6725

= 57.835

x ≅ 57.84 feet

The height of Hector's kite from the ground = x + 4

= 57.84 + 4

= 61.84 feet

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3 years ago

A car travels at an average speed of 52 miles per hour. How long does it take to travel 299 miles

drek231 [11]

The answer should be 299/52=almost 6 hours.

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3 years ago

Which of the following relations is a function?

Agata [3.3K]

Answer:

Step-by-step explanation:

Because in D, there no x-value that are repeating in the list.

For example A, the value 8 and -8 are being repeated twice, which makes this relation not a fuction.

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3 years ago