Answer:
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
Step-by-step explanation:
This is a geometric sequence.
a%5B1%5D=1.5m=150cm, r=0.74
The formula is
a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29
Just substitute a1 = 150cm and r = 0.74
a%5Bn%5D=150%280.74%29%5E%28n-1%29
That's the rule.
For the second part, substitute n = 6
cm.
Six is the base because 6^4 is 1296.
Answer:
6:7
Step-by-step explanation:
A ratio is written as x:y where x and y are numbers in there most simplified form. In the ratio 24:28 both numbers are divisible by four, so divide each side by four and you have your answer.
Answer:

Step-by-step explanation:
We can prove that a tangent will always be perpendicular to the radius touching it. So, the other angle in the diagram is
.
Because all the angles of a triangle sum to
, we have that
.
We combine like terms on the left side to get
.
We subtract
on both sides to get
.
So,
and we're done!