Answer:
S3 = 39
Step-by-step explanation:
* an = 3(3)^(n-1) is a geometric sequence
* The general rule of the geometric sequence is:
an = a(r)^(n-1)
Where:
a is the first term
r is the common difference between each consecutive terms
n is the position of the term in the sequence
The rules means:
- a1 = a , a2 = ar , a3 = ar² , a4 = ar³ , ........................
∵ an = 3(3)^(n-1)
∴ a = 3 and r = 3
∴ a1 = 3
∴ a2 = 3(3) = 9
∴ a3 = 3(3)² = 27
* S3 = a1 + a2 + a3
∴ S3 = 3 + 9 + 27 = 39
<em>Note: </em>
We can use the rule of the sum:
Sn = a(1 - r^n)/(1 - r)
S3 = 3(1 - 3³)/1 - 3 = 3(1 - 27)/-2 = 3(-26)/-2 =3(13) = 39
It is 270. Multiply 18 by 12 for the square portion of the shape. Then multiply 18 by 6 for the right triangle. I got 6 by subtracting the bottom line by the top line of the quadrilateral.
Answer:
The last option
Step-by-step explanation:
You can easily eliminate option 1 and 2 since -1 or 1 is not the y-intercept of the bold line.
You can eliminate the third option since a dotted line does not represent a "equal to"
Option 4: 5y > -4x - 10 is y > -4/5x - 2
Answer:
b) 5:7 = 15:21
Step-by-step explanation:
This questions tests our understanding of enlargement ratios.
#Determine the decimal equivalents or simplify to see which one is correct:
#a) 5:21 = 7:15
#b) 5:7 = 15:21
#c) 5:7 = 21:15
#d) 21:5 = 15:7
Hence, option b is the correct one as 5:7 = 15:21
12 inches in 1 foot so 12:1
