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Lady bird [3.3K]
3 years ago
13

15 POINTSSS PLEASE HELPPPPPP

Mathematics
1 answer:
ehidna [41]3 years ago
8 0

Answer:

First option

Step-by-step explanation:

49+59+72=180

and a triangle needs 180 degrees total

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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
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.

4 0
2 years ago
8. If 30 cents out of every 1 dollar goes to taxes and the rest is net income, what's the
aniked [119]

Answer:

  • D. 3:7

Step-by-step explanation:

1 dollar = 30 cents tax + 70 cents net income

<u>The ratio of taxes to net income:</u>

  • 30 : 70 =
  • 3 : 7

Correct choice is D

4 0
2 years ago
Read 2 more answers
You read 9.75 pages in your science book and 24.5 pages of a play for English class. It takes you 1.2 minutes to read each page
Sladkaya [172]
9.75 * 1.2 = 11.7
24.5 * .8 = 19.6

11.7+19.6= 31.3 minutes

hope this helped :)


4 0
2 years ago
What is the value of the expression |a + b| + |c| when a = –3, b = 7, and c = 1
Damm [24]

The answer is 5 hope this helps

6 0
3 years ago
Read 2 more answers
How do the volumes of cylinders, cones, and spheres relate to each other if they have the same radius and height?
Oxana [17]

Answer:

search it up

Step-by-step explanation:

7 0
3 years ago
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