Answer: 2343 / 256
Explanation
I will do this for you in two forms: 1) adding each term, and 2) using the general formula for the sum of geometric series.
1) Adding the terms:
4
∑ 3 (3/4)^i = 3 (3/4)^0 + 3 (3/4)^1 + 3 (3/4)^2 + 3 (3/4)^3 + 3 (3/4)^4
i=0
= 3 + 9/4 + 27/16 + 81/64 + 243/256 = [256*3 + 27*16 + 64*9 + 4*81 + 243] / 256 =
= 2343 / 256
2) Using the formula:
n-1
∑ A (r^i) = A [1 - r^(n) ] / [ 1 - r]
i=0
Here n - 1 = 4 => n = 5
r = 3/4
A = 3
Therefore the sum is 3 [ 1 - (3/4)^5 ] / [ 1 - (3/4) ] =
= 3 [ 1 - (3^5) / (4^5) ] / [ 1/4 ] = 3 { [ (4^5) - (3^5) ] / (4^5) } / {1/4} =
= (3 * 781) / (4^5) / (1/4) = 3 * 781 / (4^4) = 2343 / 256
So, no doubt, the answer is 2343 / 256
The large angle = 120 degrees
Supplementary angles are two angles whose measures add up to 180°
Since we know from the ratio that one angle is twice the size of the other, the angles have to be 60 and 120.
Answer: 482.8032 km.
Step-by-step explanation: ...
Volume of prism B=800*6³/8³
=800*27/64
=25*27/2
=575/2
=287.5 cm³
Answer:
y=12x-4.5x-1000
which is
y=7.5x-1000
to solve this they need to make 1000 to break even
so
1000=7.5x
solve for x
x=133.3
so the answer should be 134 items!
Please give me brainliest if im right