What is the LCM of the numbers 3, 6, and 9? OA. 9 OB. 18 O C. 36 OD 54

Mathematics

2 answers:

Bond [772]2 years ago

8 0

Answer:

b...................................

vaieri [72.5K]2 years ago

5 0

B. 18
:)
explanation: The LCM of 3,6,9 3 , 6 , 9 is the result of multiplying all prime factors the greatest number of times they occur in either number. The LCM of 3,6,9 3 , 6 , 9 is 2⋅3⋅3=18 2 ⋅ 3 ⋅ 3 = 18 .

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Convert 1 cal/(m^2 * sec * °C) into BTU/(ft^2 * hr * °F)

Crazy boy [7]

Answer:

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=0.03926\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Step-by-step explanation:

To find : Convert $1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}$ into $\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$

Solution :

We convert units one by one,

$1\text{ m}^2=10.7639\text{ ft}^2$

$1\text{ sec}=\frac{1}{3600}\text{ hour}$

$1\text{ cal}=0.003968\text{ BTU}$

Converting temperature unit,

$^\circ C\times \frac{9}{5}+32=^\circ F$

$1^\circ C\times \frac{9}{5}+32=33.8^\circ F$

So, $1^\circ C=33.8^\circ F$

Substitute all the values in the unit conversion,

$1\ \frac{\text{cal}}{m^2\times sec\times ^\circ C}=\frac{0.003968}{10.7639\times \frac{1}{3600}\times 33.8}\frac{\text{BTU}}{ft^2\times hr\times ^\circ F}$