Answer:
8
Step-by-step explanation:
Nth term of a geometric sequence is given as:
...(1)
Plugging n = 9, a = 3 and r = 2 in the above equation, we find:
... (2)
Comparing equations (1) & (2), we obtan:
(n - 1) = 8
Written out numerically, it is 4x4x4. To work this out you multiply 4x4= 16 and then you have one more 4 to multiply by, so you multiply 16x4=64
Answer:
Width = 12 feet
Step-by-step explanation:
Given that,
Area of a rectangle is 168 square feet.
The ratio of the width to the length is 6:7.
Let the length is 7x and width is 6x.
According to question,
Area = 168 sq feet
l×b=168 sq feet
7x × 6x = 168
42x² = 168
x² = 4
x = 2
Length = 7x = 7(2) = 14 feet
Breadth = 6x = 6(2) = 12 feet
So, the width of the rectangle us 12 feet.
Answer:
<h3>
∠XYZ = 102</h3><h3>
</h3>
Step-by-step explanation:
<u>1st step is to solve x from ΔWXY</u>
∠W + ∠X + ∠Y = 180
where ∠W = 5x + 2
∠X = 7x + 4
∠Y = 180 - (15x - 18)
= 198 - 15x
now plugin values into the equation:
5x + 2 + 7x + 4 + 198 - 15x = 180
combine similar terms:
5x + 7x - 15x = 180 - 2 - 4 - 198
simplify:
-3x = -24
x = -24 / -3
x = 8
<u>2nd step is to substitute x = 8 into ∠XYZ</u>
∠XYZ = 15x - 18
∠XYZ = 15(8) - 18
∠XYZ = 102
(4 - X)
