Answer:
<h2>B = 18°</h2>
Step-by-step explanation:
To find angle B we use tan
tan ∅ = opposite / adjacent
From the question
AC is the opposite
BC is the side adjacent to angle B
So we have
tan B = AC / BC
tan B = 6/9
tan B = 1/3
B = tan-¹ 1/3
B = 18.43°
B = 18° to the nearest hundredth
Hope this helps you
Answer: 2.663043987
explanation: use calculator
Answer:
Step-by-step explanation:
The given function is
f(x) = 4x
As we know
f(x) = y, which implies x= 
Therefore,
y = 4x
x = 
as x=
So,
replacing y by x in the above expression
So our inverse function is
Answer:
Step-by-step explanation:
3(x-3)+x(r+4)
3x-9+xr+4x
7x+9+xr
Answer:
Tn = 64-4n
Step-by-step explanation:
The nth term of an AP is expressed as:
Tn = a+(n-1)d
a is the common difference
n is the number of terms
d is the common difference
Given the 6th term a6 = 40
T6 = a+(6-1)d
T6 = a+5d
40 = a+5d ... (1)
Given the 20th term a20 = -16
T20 = a+(20-1)d
T20 = a+19d
-16 = a+19d... (2)
Solving both equation simultaneously
40 = a+5d
-16 = a+19d
Subtracting both equation
40-(-16) = 5d-19d
56 = -14d
d = 56/-14
d = -4
Substituting d = -4 into equation
a+5d = 40
a+5(-4) = 40
a-20 = 40
a = 20+40
a = 60
Given a = 60, d = -4, to get the nth term of the sequence:
Tn = a+(n-1)d
Tn = 60+(n-1)(-4)
Tn = 60+(-4n+4)
Tn = 60-4n+4
Tn = 64-4n
