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ElenaW [278]
3 years ago
5

Two similar cylinders have surface areas of 24pi cm^2 and 54pi cm^2. The volume of the smaller cylinder is 16pi cm^2. What is th

e volume of the larger cylinder?
A. 36pi cm^2
B. 36pi cm^2
C. 48pi cm^2
D. 54pi cm^2
Mathematics
1 answer:
ankoles [38]3 years ago
6 0

Answer:

Step-by-step explanation:

i need this too

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120 minutes /  30 minutes = 4

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1. Which of the following is true?
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Write the polynomial in factored form. <br><br> p(x)=(x+5)(x-___)(x+___)
Rom4ik [11]

Answer:


Step-by-step explanation:

Given : p(x)=x^{3} +6x^{2} -7x-60

Solution :

Part A:

First find the potential roots of p(x) using rational root theorem;

So, \text{Possible roots} =\pm\frac{\text{factors of constant term}}{\text{factors of leading coefficient}}

Since constant term = -60

Leading coefficient = 1

\text{Possible roots} =\pm\frac{\text{factors of 60}}{\text{factors of 1}}

\text{Possible roots} =\pm\frac{1,2,3,4,5,6,10,12,15,20,60}{1}

Thus the possible roots are  \pm1, \pm2, \pm 3, \pm4, \pm5,\pm6, \pm10, \pm12, \pm15, \pm20, \pm60

Thus from the given options the correct answers are -10,-5,3,15

Now For Part B we will use synthetic division

Out of the possible roots we will use the root which gives remainder 0 in synthetic division :

Since we can see in the figure With -5 we are getting 0 remainder.

Refer the attached figure

We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0.  All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus the quotient is x^{2} +x-12

And remainder is 0 .

So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting

x^{2} +x-12=0

x^{2} +4x-3x-12=0

x(x+4)-3(x+4)=0

(x-3)(x+4)=0

Thus x-3 and x+4 are the other two factors

So , p(x)=(x+5)(x-3)(x+4)





3 0
3 years ago
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Aleksandr-060686 [28]

Answer:

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Step-by-step explanation:

I just need to type more or my answer gets auto delete but yeah it is 7

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3 years ago
PLEASE HELP ME WITH THIS​
galina1969 [7]

Answer:

i do think it's D or C

Step-by-step explanation:

D or C

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