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Murrr4er [49]
3 years ago
7

What pairs have the least common multiple of 45

Mathematics
2 answers:
Sladkaya [172]3 years ago
7 0
The answer is 1,3,5,9,15,and ofcourse 45
ololo11 [35]3 years ago
3 0
For two numbers (let's call them a & b), the least common multiple is the smallest number that is an integer multiple of both a and b.  For example, given the numbers 12 and 18, their least common multiple is 36, because of 3x12=36 and 2x18=36.  A least common multiple can never be greater than the product of the two numbers because b times a is the b-the multiple of a, and the a the multiple of b.  For example, the least common multiple of 7 and 11 is 77 because multiples of 7 are 14, 21, 28, 35, 42, 49, 56, 63, 70 and 77 and multiples of 11 are 22, 33, 44, 55, 66, 77, so 77 is the first one that is a multiple of both numbers.  (BTW, 7 & 11 can be your first pair).The least common multiple of two numbers is the product of the two numbers when those numbers are relatively prime to each other, that is to say, that the two numbers do not share a factor in common (except for 1).  For example, the least common multiple of 9 and 8 is their product 72.  While neither 9 nor 8 are prime numbers, the factors of 9 are 3*3 and of 8 are 2*2*2.  Since they share no factors in common, their product will be the least common multiple.  (Multiples of 9 are 18, 27, 36, 45, 54, 63, and 72; Multiples of 8 are 16, 24, 32, 40, 48, 56, 64, and 72).  (BTW, 8 & 9 could be your 2nd pair.So to construct a pair of numbers whose product is their least common multiple all you need to do is create two lists of prime factors, one for each number, where none of their factors overlap.  While a number can be on one list multiple times (like the number 2 for 8 or the number 3 for 9), the same number cannot be on the list for both a and b.  The first six prime numbers are 2, 3, 5, 7, 11, and 13.  You can mix and match them however you'd like (following the rule above) to create your third pair of numbers.  If you comment your choice, I'd be happy to confirm whether you have successfully constructed such a pair.                  -Hope this help #Hackerhelper
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One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg ha
anastassius [24]
Solutions

To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c². 

Given 

One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.

First leg (24 yards) would be α 

Second leg would be β

Hypotenuse (74 yards) would be c

Now we have points α β c.  

a² (24) + β² ( x ) = c² (74) 

Calculations 

c² = α² + β²

74² = 24²+ β² 

<span>5476 = 576 + </span>β² 

5476 - 576 = β²
<span> </span>
<span>4900 = </span>β² 

→√4900 
<span> </span>
β<span> = 70 yards 
</span>
<span>70 = 10x 
</span>
<span>x = 70</span>÷<span>10 = 7 yards  
</span>
The second leg = 7 yards
3 0
3 years ago
Larry bought a used boat for $2400 and sold it for 2000 two years later what was the percent of decrease
guajiro [1.7K]
It pretty much would be 400
3 0
3 years ago
Solve for x in simplest radical form. 2x2 + 2x + 4 = x2 + 6x + 5
devlian [24]

Answer:

x= √2 - 2 + √5-4√2, √2-2 - √5-4 √2



7 0
3 years ago
A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will b
konstantin123 [22]

Answer:

\theta = 40.59^\circ

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find \theta

To do this, we use sine formula

i.e.

\sin(\theta) = \frac{Opposite}{Hypotenuse}

So, we have:

\sin(\theta) = \frac{10.8}{16.6}

\sin(\theta) = 0.6506

Take arc sin

\theta = \sin^{-1}(0.6506)

\theta = 40.59^\circ

4 0
3 years ago
2. While on vacation, Erika's favorite activity is catching some rays while reading novels by the pool.
stiks02 [169]

Answer:

144 pages

Step-by-step explanation:

3 hours * 60 = 180 minutes

40 pages / 50 minutes = x pages / 180 minutes

40/50 = x/180

cross multiply

50x = 40 * 180

50x = 7200

x = 7200 ÷ 50

x = 144

4 0
3 years ago
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