Answer:
The sum of the first 8 terms in the series is 65535.
Step-by-step explanation:
We have,
The common ratio in a geometric series, r = 4
First term of GP is, a = 3
It is required to find the sum of the first 8 terms in the series. The sum of first n terms of a GP is given by :
Here, n = 8
So, the sum of the first 8 terms in the series is 65535.
Answer:
x = 20
y = 100
Step-by-step explanation:
To figure out x do this.
3x + 2x = 7x - 40 (collect like terms)
5x = 7x -40 (subtract 7x on both sides)
-2x = -40 (divide by -2 on both sides)
x = 20
Plug in to get y
Since 7x - 40 and y are vertical they equal the same amount
7(20) - 40 = y (multiply 7 by 20)
140 - 40 = y (collect like terms)
100 = y
Hope this helps ya! Keep smiling!
<span>Remember the ratios
Linear = a : b
Area = a^2 : b^2
Volume = a^3 : b^3
Hence area ratios are 1008 : 1372
Becomes linear ratios of Sqrt(1008) : sqrt(1372) :: 31.749 : 37.040
Volume ratios becomes 31.749^3 : 37.040^3 :: 32002.96 : 50817.46
Hence
32002.96 / 50817.46 = Vol (S) / 1801 cm^3
Vol(s) = 32002.96 X 1801 / 50817.46 = 1134.20cm^3 ( nearest hundredth).
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The answer to this problem is C.
Here's why:
The area of a triangle = 1/2 * (base) * (height) (Note: a triangle is half of a rectangle, and rectangles have Area = (base) * (height))
<span>Because the base of ΔAED is half of ΔACB (2 = (1/2) * 4), and height of ΔAED is half of ΔACB (3 = (1/2) * 6), we know that the area of ΔAED will be half of ΔAED.
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So, it's C. I am sure =)
If it helped you, please mark me brainliest! =D
Have a nice day!
