The value of the 5th term of the geometric sequence is of 160.
<h3>What is a geometric sequence?</h3>
A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
In which 
is the first term.
We already have the 4th term and the common ratio, hence the 5th term is given by:
80 x 2 = 160.
The value of the 5th term of the geometric sequence is of 160.
More can be learned about geometric sequences at brainly.com/question/11847927
#SPJ1
Answer:
x = 
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
128=12(8+x)
128=(12)(8)+(12)(x)(Distribute)
128=96+12x
128=12x+96
Step 2: Flip the equation.
12x+96=128
Step 3: Subtract 96 from both sides.
12x+96−96=128−96
12x=32
Step 4: Divide both sides by 12.
x=8/3
Answer: BM = 21.4
Step-by-step explanation:
Considering the given triangle BMS, to determine angle BM, we would apply the sine rule. It is expressed as
m/SinM = s/SinS = b/SinB
Where m, s and b are the length of each side of the triangle and angle M, Angle S and angle B are the corresponding angles of the triangle.
From the information given,
Angle M = 102°
Angle B = 35°
Angle S = 180 - (102 + 35) = 43°
b = MS = 18
s = BM
Therefore
18/Sin 35 = BM/Sin 43
Cross multiplying, it becomes
BMSin35 = 18 × Sin 43
BM × 0.5736 = 18 × 0.6820
0.5736BM = 12.276
Dividing the left hand side and the right hand side of the equation by 0.5736, it becomes
0.5736BM/0.5736 = 12.276/0.5736
BM = 21.4
Answer:
1/3
Step-by-step explanation:
H3,H4,H5,H6
p=1/2×1/6+1/2×1/6+1/2×1/6+1/2×1/6
=4×1/2×1/6=1/3
