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Karolina [17]
2 years ago
5

Find the smallest 4 digit number which is exactly divisible by 72 and 108with explaination​

Mathematics
1 answer:
likoan [24]2 years ago
5 0

The smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.

<h3>What is LCM?</h3>

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

The Least common multiple of both the numbers 72 and 108 is 216. Since 216 is the least common multiple of both the numbers. Therefore, the four-digit number needs to be a multiple of 216 to be divisible by both the numbers. Thus, when 216 is multiplied by 5 the result is 1080, which is divisible by both 72 and 108. Hence, the smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.

Learn more about Least Common Multiple:

brainly.com/question/20739723

#SPJ1

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3 0
2 years ago
the expression (4^p*4^1)^3 simplifies to 4^15. Eric was asked to find the value of p and said the answer is p=11. Is Eric correc
notka56 [123]

(4^p*4^1)^3  = 4^15

add the exponents

(4^(p+1))^3 = 4^15

power to the power means multiply

(4^3(p+1)) = 4^15

the bases are the same so the powers have to be the same

3(p+1)) = 15

divide by 3

p+1 =5

subtract 1

p=4

Eric is incorrect.  p=4

8 0
3 years ago
There were 15 cars and 25 trucks in the parking garage. what is the ratio of cars to total vehicles
Nina [5.8K]
15:25 = 3:5
simply divide 15 and 25 both by 5 to get 3:5.
5 0
3 years ago
Find cotθ, cosθ, and secθ, where θ is the angle shown in the figure.
Darina [25.2K]

Answer:

\cos( \theta)  =  \frac{5}{8}  \\  {8}^{2}  =  {5}^{2}  +  {opp}^{2}  \\ {opp}^{2}  = 64 - 25 = 39 \\ opp =  \sqrt{39}  \\  \sin(\theta)  =  \frac{\sqrt{39}}{8}  \\  \tan(\theta)  =  \frac{ \sqrt{39} }{5}  \\  \cot(\theta)  =  \frac{1}{\tan(\theta)}  =  \frac{1}{\frac{ \sqrt{39} }{5}}  \\ \cot(\theta)  =  \frac{5}{ \sqrt{39} }  \\  \csc( \theta) =  \frac{1}{\sin(\theta)}  =  \frac{1}{\frac{\sqrt{39}}{8}}   \\ \csc( \theta) = \frac{8}{ \sqrt{39} }  \\  \sec( \theta) =  \frac{1}{\cos( \theta) }  =  \frac{1}{ \frac{5}{8} }  \\ \sec( \theta) =  \frac{8}{5}

5 0
2 years ago
Suppose that for a certain company ​C(x)=35x+300,000 represents the total cost​ function, and ​R(x)=75x represents the total rev
enyata [817]

Answer:

40x - 300,000

7,500

Step-by-step explanation:

profit  = revenue - cost

p(x) = 75x - (35x + 300,000)

p(x) = 40x - 300,000

Break even is when profit is zero

40x - 300,000 = 0

40x = 300,000

x = 7,500

4 0
2 years ago
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