List factors of each:
60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
45: 1, 3, 5, 9, 15, 45
The largest common value is 15
The greatest possible length of each is 15 cm
Answer: 15 cm.
Answer:
a bank sends its customers an email iff a<1
Step-by-step explanation:
Let a=account
So, a<1
Therefore, a bank sends its customers an email iff a<1
Since
∠CPD = x
and segment PN is the angle bisector of this angle, therefore segment PN
equally divides ∠CPD into two angles. Which means that:
∠CPN = ∠NPD = x / 2
Further,
segment PN is also the perpendicular bisector of AB which further means that
the intersection formed by PN and AB creates a right angle (90°). Therefore:
∠NPD + ∠DPB = 90°
x/2
+ ∠DPB =
90°
∠DPB =
90 – x/2
Therefore:
sin∠<span>DPB = sin(90 – x/2) which is not in the choices</span>
However we know that the
relationship of sin and cos is:
sin(π/2
- θ) = cos θ
Where,
π/2
= 90
θ =
x/2
Therefore:
sin(90 – x/2) = cos(x/2)
Answer:
<span>cos(x/2)</span>
Answer:
b
Step-by-step explanation:
Answer:
Step-by-step explanation:
-k - ( -8k + 7)
negative sign is outside the parenthesis. so it should be multiplied with -8k and 7
-k - (-8k + 7) = -k - 8k * (-1) + 7*(-1)
= -1k + 8k - 7
Now -k and 8k are like terms. So, combine them.
= 7k - 7
