Answer:
value of a.b = -4
Step-by-step explanation:
We need to find a.b
a= 4i-4j
b = 4i+5j
We know that i.i =1, j.j=1, i.j =0 and j.i=0
a.b = (4i-4j).(4i+5j)
a.b = 4i(4i+5j)-4j(4i+5j)
a.b = 16i.i +20i.j-16j.i-20j.j
a.b = 16(1) +20(0)-16(0)-20(1)
a.b = 16 +0-0-20
a.b = 16-20
a.b =-4
So, value of a.b = -4
In an arithmetic series, the value of the nth term is calculated using the equation,
an = ao + (n - 1)(d)
where an and ao are the nth and the 1st term, respectively. d is the common difference, and n is the number of terms.
In the given, an = 48, a0 = 93, d = -5 and n is unknown. Substituting the known values,
48 = 93 + (n - 1)(-5)
The value of n from the equation is 10. Thus, the answer is the last choice.
Answer:
The first 3 terms of the sequence 
are:
Step-by-step explanation:
Given the sequence
Here 
represents any term number in the sequence
Determining the first term
substitute n = 1 in the sequence to determine the first term
Determining the 2nd term
substitute n = 2 in the sequence to determine the 2nd term
Determining the 3rd term
substitute n = 3 in the sequence to determine the 3rd term
Therefore, the first 3 terms of the sequence are:
Answer:
it would take him 63.55.minutes or 1 hour 3 minutes so it would take him a about to a bit more than an hour
Answer:
B: 5/13
Step-by-step explanation:
pythagoras theorem: a^2 + b^2 (sides) = c^2 (hypotenuse)
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 5
sin = opp/hyp
sin 5/13
Hope this helps
