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olga55 [171]
3 years ago
14

The volume of the cylinder below is 225 pi cubic centimeters. If you doubled the radius of the of cylinder, which statement belo

w would be true? *
Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

The volume of the cylinder will be 900π cube cm.

Step-by-step explanation:

Given,

The volume of the cylinder 225π cube cm

Let the radius be r and the height be h.

To find the volume when the radius is doubled.

Formula

The volume of cylinder = πr^{2} h

According to the problem,

πr^{2} h = 225

When the radius is 2r the volume will be = π(2r)^{2} h

=4πr^{2} h

=4×225π cube cm

= 900π cube cm

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A line passes through the point (10,5) and has a slope of 3/2. Write and equation in slope intercept form
ehidna [41]
\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ 10}}\quad ,&{{ 5}})\quad 
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-5=\cfrac{3}{2}(x-10)\implies y-5=\cfrac{3}{2}x-15
\\\\\\
y=\cfrac{3}{2}x-15+5\implies y=\cfrac{3}{2}x-10
8 0
3 years ago
How to solve this? ​
nevsk [136]

Answer:

Answer of 17 is ㏒(x^{2}+15x), Answer of 33 is x = 8 , Answer of 35 is x = ㏒10/㏒2 , Answer of 37 is  x = -㏒12/㏒8 and Answer of 39 is x = 5

Step-by-step explanation:

17. ㏒x + ㏒(x+15)

     Using property ㏒a + ㏒b = ㏒a×b

     ∴ ㏒x + ㏒(x+15)

        ㏒x×(x+15)

        ㏒(x^{2}+15x)

        The answer is ㏒(x^{2}+15x)

33. 2^(x-5) = 8

     2^(x-5) = 2^3

      Using property 2^a = 2^b

      Then a = b

     ∴x-5 = 3

       x = 8

      The answer is x = 8

35. 2^x = 10

    Taking log on both sides gives

     ㏒2^x = ㏒10

     x×㏒2 = ㏒10

     x = ㏒10/㏒2

    The answer is x = ㏒10/㏒2

37. 8^-x = 12

    Taking log on both sides gives

     ㏒8^-x = ㏒12

     -x×㏒8 = ㏒12

      x = -㏒12/㏒8

    The answer is  x = -㏒12/㏒8

39. 5(2^3 × x) = 8

      5(8×x) = 8

      x = 5

    The answer is x=5

 

5 0
3 years ago
Jada made 316 gallons of lemonade. Jada served 56 gallon to her friends. How much lemonade does Jada have left? Enter your answe
GaryK [48]

Answer:

260 gallons of lemonade

Step-by-step explanation:

Step one:

given data

We are told that Jada made 316 gallons of lemonade.

and later served 56gallons of the lemonade

Required

The remaining Lemonade

Step two

We have the total lemonade as 316

and the deducted as 56

the balance will be

= 316-56

=260 gallons of lemonade

7 0
3 years ago
Three consecutive integers have a sum of 42. find the integers.
ioda
The answer is 13,14,15.
6 0
3 years ago
The glee club has a set of 48 classical CDs and a set of 42 show tunes CDs each second be divided equally among the club members
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The glee club could have 6 members so the 48 classical CDs would be divided into 8 and the 42 show tunes could be divided into 7
4 0
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