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-BARSIC- [3]
3 years ago
9

Answer the triangle

Mathematics
1 answer:
zloy xaker [14]3 years ago
6 0

Answer:

Step-by-step explanation:

Assuming it is a right triangle, use the Pythagorean Theorem.

Let x be the length of the vertical leg.

x² + 8² = 10²

x² = 10² - 8² = 36

x = √36 = 6 in

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Read 2 more answers
Find the HCF and LCM of 306 and 54. Verify that HCF × LCM = Product of the two numbers.
Gala2k [10]
306=2*153=2*3*51=2*3*3*17
54=2*27=2*3*9=2*3*3*3,
so 306= 2*3*3*17, and 54 = 2*3*3*3
GCF we are looking for all factors that belong to both of these numbers, that are common for both numbers.
 306= 2*3*3*17, 
 54 = 2*3*3*3
GCF = 2*3*3

LCM should include all factors that belong as first as second numbers, and we take prime factor from the number that has maximum repetition of it
306 = 2*3*3*17
54=2*3*3*3
We can see 2 - one time, 3 - 3 times , and 17 - one time
LCM =2*3*3*3*17

Product of two numbers : 306*54=(2*3*3*17) * (2*3*3*3)= 2²*2⁵*17
HCF*LCM=(2*3*3)*(2*3*3*3*17)=2²*3⁵*17
So we can see that
 Product of two numbers = HCF*LCM=2²*3⁵*17

If you need you can calculate
 306= 2*3*3*17, 
 54 = 2*3*3*3
GCF = 2*3*3=18
LCM =2*3*3*3*17=918
GCF*LCM=18*918=16524
Product of 306*54= 16524

 






7 0
3 years ago
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