Answer:
a(4) = 15/4
Step-by-step explanation:
Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.
Thus, the geometric sequence formula specific to this case is
a(n) = 30(1/:2)^(n-1).
What is the fourth term? Let n = 4,
a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or a(4) = 30(1/8) = 30/8, or, in reduced form,
a(4) = 15/4.
Cole's mistake was that he rounded 555 to the nearest hundred instead of the nearest ten. He should've rounded it to 560 because the tens place is the second number, not the first one.
Answer:
C≈125.66
Step-by-step explanation:
Because two angles are equal, sides AB and AC will have equal lengths, and so, we can set each expression equal to each-other.
4x + 4 = 6x - 14
Subtract 4x from both sides.
4 = 2x - 14
Add 14 to both sides.
18 = 2x
Divide both sides by 2.
x = 9.
Because we have a constant value of x, we can solve for BC.
BC = 2x + 7
2(9) + 7
18 + 7
25
<h3>The value of BC is 25.</h3>