Answer:
The correct answer is: 360.
Explanation:
First we can express 120 as follows:
2 * 2 * 2 * 3 * 5 = 120
You can get the above multiples as follows:
120/2 = 60
60/2 =30
30/2 = 15
15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)
5/5 = 1
Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)
Second we can express 360 as follows:
360/2 = 180
180/2 = 90
90/2 =45
45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)
15/3 = 5
5/5 = 1
Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)
Now in (1) and (2) consider the common terms once and multiple that with the remaining:
2*2*2*3*5 = Common between the two
3 = Remaining
Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)
The area that's covered by the grass will be 7.065m²
The area of a circle is found by using the formula: = πr²
where, r = radius = 1.5m
π = 3.14
Therefore, to solve the question, we'll slot the value of the radius into the formula and this will be:
Area = πr².
Area = 3.14 × 1.5²
Area = 3.14 × 1.5 × 1.5
Area = 7.065m²
In conclusion, the area is 7.065m²
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Answer:
y=-3/2x+4
Step-by-step explanation:
The slope or m is -3/2 and the y-intercept or b is 4.
Hope this helped :)
Answer:
an = 1/2 (4)^ (n-1)
a6 = 512
Step-by-step explanation:
The formula for a geometric sequence is
an = a1 (r)^(n-1)
where an is the term of the sequence
a1 is the initial term of the sequence
r is the ratio
and n is the term number
We know a1 = 1/2 and r =4
I will assume that x=6 means we want to know the 6th term
an = 1/2 (4)^ (n-1)
We want to find the 6th term
a6 = 1/2 * 4^(6-1)
a6 = 1/2 * 4^5
a6 = 512