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xz_007 [3.2K]
3 years ago
15

What is the answer help me pls ASAP

Mathematics
1 answer:
Llana [10]3 years ago
8 0
Um try c but i’m just guessing sorry
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For a fundraiser, Jose sold a total of 111 Snickers and Twix bars.
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Step-by-step explanation:

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Two less than five times a number x is equal to 13. Solve for
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Answer: 13=5x-2

Step-by-step explanation:

This means that two is reduced from five times the number x.

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Find the slope of the line whose equation is 6x - 3y = 12. 2 -2 -4
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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
The numbers a, b and c satisfy a+b+c = 0 and abc = 78. What is<br>the value of (a+b)(b+c)(c+a)?​
djyliett [7]

Answer:

(a+b)(b+c)(c+a)=-78

Step-by-step explanation:

We are given that the numbers a, b and c

a+b+c=0   ....(1)

abc=78    ..... (2)

We have to find the value of (a+b)(b+c)(c+a).

From equation we get

a+b=-c

b+c=-a

a+c=-b

Substitute the values then we get

(a+b)(b+c)(c+a)=(-c)(-a)(-b)

(a+b)(b+c)(c+a)=-abc

Using equation (2) we get

(a+b)(b+c)(c+a)=-78

Hence, the value of (a+b)(b+c)(c+a) is -78.

6 0
3 years ago
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