Answer:
The explicit rule of the geometric sequence
aₙ = 187.5 (0.8)ⁿ⁻¹
Step-by-step explanation:
<u><em> Step(i):-</em></u>
Given that the third term of the sequence = 120
tₙ = a rⁿ⁻¹
t₃ = a r³⁻¹ = ar²
120 = ar² ..(i)
Given that the fifth term of the given geometric sequence = 76.8
tₙ = a rⁿ⁻¹
t₅ = a r⁵⁻¹ = a r⁴
76.8 = a r⁴...(ii)
<u><em>Step(ii):</em></u>-
Dividing (ii) and (i)

r² = 0.64
r =√ 0.64 = 0.8
Substitute r= 0.8 in equation (i)
120 = ar²
120 = a(0.8)²
⇒ 
<u><em>Step(iii):-</em></u>
The explicit rule of the geometric sequence
aₙ = a rⁿ⁻¹
put a= 187.5 and r = 0.8
aₙ = 187.5 (0.8)ⁿ⁻¹
The angles in a triangle must add up to equal 180. When it gives you angle A and angle B, you add them, then subtract it from 180, which will give you the angle C.
65 + 15 = 80
180 - 80 = 100 = Angle C.
It says to list them from smallest to greatest.
<B = 15, <A = 65, <C = 100
Answer:
Choice b.
Step-by-step explanation:
170 is a little more than half of 330 so that's the onee.
Answer:
$54.37
Step-by-step explanation:
First, need to find 15% of 47.28.
47.28 x .15 = 7.092
Then we add that to the original cost.
47.28+7.092 = 54.372
Round your answer
$54.37
Hope this helped!