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3 years ago

#8 i Find the LCM of 36 and 60 using prime factorizations. The LCM is

Mathematics

2 answers:

mel-nik [20]3 years ago

4 0

LCM=2×2×3×3×5=180

Refer to the attachment

Soloha48 [4]3 years ago

3 0

Hello there!! :D

Answer:

180 is the answer

Step-by-step explanation:

LCM of 36 and 60 by Prime Factorization

LCM of 36 and 60 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 22 × 32 × 51 = 180. Hence, the LCM of 36 and 60 by prime factorization is 180.

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Sauron [17]

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Solution:

Given that, the diagonal length of a rectangular playing field is 76 feet,

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So, now, in a right angled triangle we can use pythagorean theorem to find the length

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.

By above definition, In a right angled triangle ABC we get

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$\begin{array}{l}{\text {Then, diagonal = width }^{2}+\text { length }^{2}} \\\\ {76^{2}=48^{2}+\text {length }^{2}} \\\\ {\text {Length }^{2}=76^{2}-48^{2}} \\\\ {\text {Length }^{2}=5776-2304}\end{array}$

$\begin{array}{l}{\text { Length }^{2}=3472} \\\\ {\text { Length }=\sqrt{3472}} \\\\ {\text { Length }=58.92}\end{array}$

Hence, the length of the rectangular field is 58.9 feet

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