Answer: r = 2/3
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 36
The 4th term is 32/3
n = 4
Therefore,
T4 = 32/3 = 36 × r^(4 - 1)
32/3 = 36 × r^3
Dividing both sides if the equation by 36, it becomes
32/3 × 1/36 = r^3
8/27 = r^3
Taking cube root of both sides of the equation, it becomes
(8/27)^1/3 = r^3 × 1/3
r = 2/3
Answer: 31°
Since <DAB = 55° and <CAB = 24°, subtract 24 from 55.
55 - 24 = 31
Answer:
y=1/2x+3.5
Step-by-step explanation:
this one was a bit trickier than the previous one, but i think that that answer is correct. i did the same thing i did to solve your last problem, solved for the slope, and then made a number line and marked the points given, drew a line through the two points, and found where the line intercepted the y axis.
Answers:
area = 50.24 square yards
circumference = 25.12 yards
values are approximate
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Work Shown:
d = 8 is the diameter
r = 4 is the radius, half the diameter
pi = 3.14 approximately
C = 2*pi*r = circumference
C = 2*3.14*4
C = 25.12 yards is the circumference. The circumference is the distance around the circle, aka the perimeter
An alternative formula you can use is C = pi*d
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A = area of circle
A = pi*r^2
A = 3.14*4^2
A = 50.24 square yards is the area
Ad - bc = f......for d
add bc to both sides
ad = f + bc
divide both sides by a
d = (f + bc) / a
