Please help me with this

Mathematics

1 answer:

Over [174]3 years ago

6 0

Answer:

24cm

Step-by-step explanation:

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How many zeros should have 5 to have 72 dividers?

xenn [34]

Hello,

nice as problem.

$| If\ a\ number\ x=a_1^{p_1}*a_2^{p_2}*a_3^{p_3}*....*a_n^{p_n}\\ the\ number\ of\ his\ dividers is:\\{p_1+1}*{p_2+1}*{p_3+1}*....*{p_n+1}$
Here x has a power of 5 as divider and a power of 2 as divider (in order to make a power of 10.

$5=5^1*2^0$

$50=5^1*(5^1*2^1)=5^2*2^1$

$500=5^1*(5^2*2^2)=5^3*2^2$

$50 000 000=5^8*2^7$

Numbers of dividers: (8+1)*(7+1)=9*8=72

3 0

4 years ago

Find the total surface area of the triangular prism

GuDViN [60]

Answer:

$1,008\:\mathrm{cm^2}$

Step-by-step explanation:

The total surface area of this triangular prism consists of three rectangles and two triangles. Adding the areas of each of these shapes allows us to find the total surface area of this 3D figure:

Area of both triangles:

$2\cdot \frac{1}{2}\cdot12\cdot 14=168\:\mathrm{cm^2}$