What is the approximate value of the square root of 8 rounded to the nearest tenth?
1 answer:
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Answer:
It will take 60 seconds for the signs to light up at the same time again.
Step-by-step explanation:
Given:
One sign lights up every 10 seconds
One sign lights up every 12 seconds
They have just lit up at the same time.
To find in how many seconds will it take for the signs to light up at the same time again.
Solution:
In order to find the time in seconds will it take for the signs to light up at the same time again, we need to find the least common multiple of the the times for which the given signs light up.
The numbers are 10 and 12.
To find the LCM, we will list the multiples of each and check the least common multiple.
The multiples of 10 and 12 are :
thus, we can see that 60 is the least common multiple.
Thus, the signs will light up at the same time time after every 60 seconds.
Answer: The rule is explained.
Step-by-step explanation: As shown in the attached figure, ABCD is a parallelogram with vertices A(0,2), B(6,2), C(8,6) and D(2,6).
Suppose, we are to find the vertices of a parallelogram PQRS that is smaller than but similar to ABCD, then we can follow the following rule.
Let us consider a positive real number k. Then the new coordinates of smaller and similar parallelogram PQRS will be
Co-ordinates of P will be (k,2+k),
Co-ordinates of Q will be (6-k,2+k),
Co-ordinates of R will be (8-k,6-k)
and
co-ordinates of S will be (2+k,6-k).
Taking any positive real value of k, we will get a new, smaller parallelogram which will be similar to ABCD.
