Answer:
see explanation
Step-by-step explanation:
The perimeter is the length of all the sides in the figure.
The arc of the semi- circle is included in this.
length of arc = πd ← d is the diameter
here d = 8, hence
arc = π × 8 = 4π ← exact length
Perimeter = 10 + 8 + 10 + 4π ≈ 40.57 in ( nearest hundredth )
Answer:
Step-by-step explanation:
Properties of logarithm :
The given expression in terms of Natural log :
This will become [ By using Property (3)]
[]
[ By using Property (1)]
Hence, the simplified expression becomes .
Answer:
3(y + 5)
Step-by-step explanation:
Factorization is a process which is like the opposite of expansion. It involves factoring out the common factors from the given terms.
Thus to factorize 3y + 15, we have to consider the common factor(s) of the two terms. The common factor is 3 because the two terms (i.e 3y and 15) are both divisible by 3 only.
So that:
3y + 15= 3( + )
= 3(y + 5)
The outcome of the process is 3(y + 5).
Answer:
45,54,63,72,81 for the 5 multiples of 9
63 is the least common multiple of 7 and 9
Step-by-step explanation: