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3 years ago

What is a counterexample of the following conjecture any number that is divisible by 3 is also divisible by 6

Mathematics

1 answer:

Elodia [21]3 years ago

5 0

Counterexample: 27 is divisible by 3 but is not divisible by 6

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The volume of the cone shown below is 108pie cm^3. What is the value of H?

saw5 [17]

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

3 0

3 years ago

Read 2 more answers

The function a(1) =1/2I^2 describes the area of an isosceles right triangle with leg I. Make a table of values for I=1,2,3 and 4

prohojiy [21]

Functions can be represented using equations, graphs and tables.

The function is given as:

$a(l) = \frac 12 l^2$

When l = 1, we have:

$a(1) = \frac 12 \times 1^2$

$a(1) = 0.5$

When l = 2, we have:

$a(2) = \frac 12 \times 2^2$

$a(2) = 2.0$

When l = 3, we have:

$a(3) = \frac 12 \times 3^2$

$a(3) = 4.5$

When l = 4, we have:

$a(4) = \frac 12 \times 4^2$

$a(4) = 8.0$

Represent the above results as a table, we have:

1 0.5

2 2.0

3 4.5

4 8.0

Read more about tables and functions at:

brainly.com/question/13136492

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3 years ago

HELP PLSSS THIS IS HARD SOMEONEEE

inna [77]

Answer:

it's not even hard

Step-by-step explanation:

......

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2 years ago

24÷2²(-3)-7-2²-2(3-6) step by step please and thank you!

gavmur [86]

Answer:

$- 23$

Step-by-step explanation:

$24 \div {2}^{2} ( - 3) - 7 - {2}^{2} - 2(3 - 6) \\ 24 \div {2}^{2} ( - 3) - 7 - {2}^{2} - 2( - 3) \\ 24 \div 4( - 3) - 7 - 4 - 2( - 3)\\ 6(-3) - 7 - 4 -2(- 3) \\ - 18 - 7 - 4 + 6 \\ -25 -4 +6 \\ -29 +6 \\ - 23$

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3 years ago

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Juan buys c children’s tickets at each $8 each. He also buys one adult ticket for $12. Write three equivalent expressions for th

salantis [7]

Let T = total cost

Let 8c = total amount of children tickets

Let 12a = total amount of adult tickets

T = 8c + 12a

7 0

4 years ago