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Lelu [443]
3 years ago
8

rita and neha can do certain work indivisually in 20 hours and 25 hours. how much time will it take to complete the work togethe

r
Mathematics
1 answer:
vladimir2022 [97]3 years ago
7 0

Answer:

11.11 hours

Step-by-step explanation:

Rita = 20 hours

Neha = 25 hours

Let the time that they can complete the work together be written as x

1/20 + 1/25 = 1/x

Lowest Common Denominator is 500

25 + 20/500 = 1/x

45/500 = 1/x

Cross Multiply

45x = 500

x = 500/45

x = 11.111111111 hours

Approximately = 11.11 hours

Therefore, it would take Rita and Neha 11.11 hours to complete the work together.

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Answer:

I think it's B.)

Step-by-step explanation:

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3 years ago
An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
Helga [31]

Answer:

Step-by-step explanation:

Note: I will leave the answers as fraction and in terms of pi unless the question states rounding conditions to ensure maximum precision.

From the question, we can tell it is a inversed-cone (upside down)

Volume of Cone = \pi r^{2} \frac{h}{3}

a) Given Diameter , d = 15.5cm and Length , h = 350cm,

we first find the radius.

r = \frac{d}{2} \\=\frac{15.5}{2} \\=7.75cm

We will now find the volume of the cone.

Volume of cone  \pi (7.75)^{2} \frac{350}{3} \\= \frac{168175\pi }{24}

We know the density of ice is 0.93 grams per 1cm^{3}

1cm^{3} =0.93g\\\frac{168175\pi }{24}  cm^{3} =0.93(\frac{168175\pi }{24} )\\= 20473 g(Nearest Gram)

b) After 1 hour, we know that the new radius = 7.75cm - 0.35cm = 7.4cm

and the new length, h = 350cm - 15cm = 335cm

Now we will find the volume of this newly-shaped cone.

Volume of cone = \pi (7.4)^{2} \frac{335}{3} \\= \frac{91723\pi }{15} cm^{3}

Volume of cone being melted = New Volume - Original volume

= \frac{168175\pi }{24} -\frac{91723\pi }{15} \\= \frac{35697\pi }{40} cm^{3}

c) Lets take the bucket as a round cylinder.

Given radius of bucket, r = 12.5cm (Half of Diameter) and h , height = 30cm.

Volume of cylinder = \pi r^{2} h\\=\pi (12.5)^{2} (30)\\=\frac{9375\pi }{2} cm^{3}

To overflow the bucket, the volume of ice melted must be more than the bucket volume.

Volume of ice melted after 5 hours = 5(\frac{35697\pi }{40} )\\=\frac{35697\pi }{8} cm^{3}

See, from here of course you are unable to tell whether the bucket will overflow as all are in fractions, but fret not, we can just find the difference.

Volume of bucket - Volume of ice melted after 5 hours

= \frac{9375\pi }{2} -\frac{35697\pi }{8 } \\=\frac{1803\pi }{8}cm^{3}

from we can see the bucket can still hold more melted ice even after 5 hours therefore it will not overflow.

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What value of A in this equation y=(9A-7)x would give a line with the slope -5?
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HELP ME PLEASE! Vector's map has the scaling missing.he knows from the lake to the youth center is 8 miles. on the map, they are
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Hey there!

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4 years ago
the sum of two numbers is equal to 610. The difference between the same two numbers is equal to 272. Calculate the sum of the sq
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Answer:

Step-by-step explanation:

brainly.com/question/21776311

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