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erastovalidia [21]
3 years ago
9

Help me solve this problem

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0
I believe 1/9=9, 2/9=18, 3/9=27, 4/9=36
Don't get mad if you get it wrong.
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The sum of the radius of the base and the height of a solid cylinder is 37m. If the total surface area of the cylinder is 1628 m
MA_775_DIABLO [31]

Answer:

4618.14m^{3} or 4618m^{3}  

Step-by-step explanation:

From  T.S.A = 2\pirh + 2\pir^{2}

 where T.S.A = 1628m^{2}

           1628 = 2\pirh + 2\pir^{2}

            1628 =  ( rh + r^{2} ) 2\pi

 by dividing both side by 2\pi

             \frac{1628}{2\pi }=  rh + r^{2}

          259.10 = rh + r^{2}

           rh = 259.10 - r^{2}

        h = \frac{259.10 - r^{2} }{r}   <u>          </u>(1)

From Radius + Height = 37

       r + h = 37  <u>              </u>(2)

by substituting eqn 1 into 2

    r + \frac{259.10 - r^{2} }{r}   = 37

by multiplying r to both side

   r^{2} + 259.10 - r^{2} = 37r

     259.10 = 37r

   r = \frac{259.10}{37}

   r = 7.00 ≅ 7  

From Eqn 2

     r + h = 37

     7 + h = 37

     h = 37 - 7

     h = 30

so Volume of a cylinder = \pi r^{2} h

                  V = \pi * 7^{2} * 30

                  V = 4618.14m^{3}  ≅  4618m^{3}  

4 0
3 years ago
Read 2 more answers
Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)? The slope is mc015-1.jpg. The slope is
lbvjy [14]
Answer:
slope of the line is -0.5
y-intercept is 13

Explanation:
The general formula of the linear equation is:
y = mx + c 
where m is the slope and c is the y-intercept

1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c

2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13

Based on the above, the equation of the line would be:
y = -0.5x + 13

Hope this helps :)
8 0
3 years ago
Read 2 more answers
What is 15% of 80kg????
attashe74 [19]

Answer:

12 kg

Step-by-step explanation:

15%×80 =

= 15×80/100

= 15×8/10

= 120/10

= 12 kg

7 0
3 years ago
Please help!<br> What is ​ 4 9/10 ​ expressed as a decimal?<br><br> Enter your answer in the box.
enyata [817]

Answer:

4.9

Step-by-step explanation:

4 9/10

9/ 10 = 0.9

So 4.9

3 0
3 years ago
Read 2 more answers
A bar of brass contains 400g of copper and 200g of zinc.Write the ratio of copper to zinc in its lowest terms​
goldfiish [28.3K]

Answer:

2 : 1

Step-by-step explanation:

The ratio of copper to zinc is

400 : 200 ← divide both parts by 200

= 2 : 1 ← in simplest form

4 0
3 years ago
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