Answer:
<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>
Step-by-step explanation:
The Least Common Multiple ( LCM )
The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.
For example:
LCM(20,8)=40
LCM(35,18)=630
Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.
Find the LCM of 4,10,12. Follow this procedure:
List prime factorization of all the numbers:
4 = 2*2
10 = 2*5
12 = 2*2*3
Multiply all the factors the greatest times they occur:
LCM=2*2*3*5=60
Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.
Answer:
c=231.87 m
Step-by-step explanation:
When we read this example we can see that Peter will form triangle with those sides :
a=200 m,
b=180 m
cos X=cos (180-105)=cos75
x is angle.
Now, we can use this rule :
Now, let's evaluate :
Answer: sin pi/4 sin pi/6 = 1/2(cos pi/12 - cos 5pi/12)
correct on apex
Answer:
Option A - 
is the standard form of the equation.
Step-by-step explanation:
Given : Linear equation - 
To convert into the standard form.
Standard form of the equation is in form Ax+By=C
So to convert this equation into the standard form we have to multiply both side of the equation by -1, so that the value for A is positive.
After multiplying by -1 the form is
is the standard form of the equation.
Therefore, Option A is correct.
5y - 20 < 0...add 20 to both sides
5y < 20...divide both sides by 5
y < 20/5
y < 4 (this states that y is less then 4)
Therefore, the greatest integer that y could be is 3 (because integers cannot be fractions, they have to be whole numbers)
