Go For questions 6a-6d, choose Yes or No to tell whether 3 is the GCF of the pair of numbers. 6a 9, 15 6b 12, 18 6c 15, 27 6d 30
1 answer:
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Answer:
12 feet ladder
Step-by-step explanation:
Height of 12 ft ladder :
Using Pythagoras :
Tan θ = Adjacent / hypotenus
Tan 57 = h / 12
1.5398649 * 12 = 18.48 feets
For 16 feet ladder :
Tan θ = Adjacent / hypotenus
Tan 30 = h / 16
0.5773502 * 16 = 9.24 feets
18.48 > 9.24
Hence, he'll climb the 12 feets ladder to the higher height
Answer with Step-by-step explanation:
Since we have given that
a + b = c
and a|c
i.e. a divides c.
We need to prove that a|b.
⇒ a = mb for some integer m
Since a|c,
So, mathematically, it is expressed as
c= ka
Now, we put the above value in a + b = c.
So, it becomes,
a=mb, here, m = k-1
Hence, proved.