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Snowcat [4.5K]
2 years ago
14

Help me please I'm kinda slowww <3

Mathematics
2 answers:
gulaghasi [49]2 years ago
6 0

Answer: 3 (I think)

Step-by-step explanation: 3 is 3/1 as a fraction sooooo

steposvetlana [31]2 years ago
3 0

Answer:

a) 0

b) 1

c)3

d) 1

Step-by-step explanation:

plz mark me brainlist

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An icicle with a diameter of 15.5 centimeters at the top, tapers down in the shape of a cone with a length of
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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.

4 0
2 years ago
3. Find to the nearest thousandth: log7 80
enot [183]

Answer:

I believe 1000

Step-by-step explanation:

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3 years ago
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SpyIntel [72]

Answer:

The area of the trapezium is 18 ft²

Step-by-step explanation:

Given;

Two parallel sides of the polygon as  follows;

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If this polygon is rotated 90 degrees, it forms a trapezium with a height of 4 ft.

The area of a trapezium is calculated as;

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Therefore, the area of the trapezium is 18 ft²

5 0
3 years ago
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