Answer:
(c) n(n+1)/√2
Step-by-step explanation:
√2+√8+√18+√32+...
1√2+2√2+3√2+4√2+...+n√2
- First term= √2
- Common difference= √2
- Sₙ= n/2(2√2+(n-1)√2)= n/2(n√2+√2)=n(n+1)√2/2= n(n+1)/√2
Option (c) is correct
x (3-5) + (4b)
= x ( -2) + (4b), since x=8 b=3
= -16 + 12
= -4
What I did there is substitution
Replacing x with 8 ,and b with 3
So -16 is the product of (-2) and 8
And 12 is the product of 4 and 3
FYI: -2 is the result of 3 - 5
Answer:
1m----------3.28084ft
400m---------xft
x=(400*3.28084)/1
x=1,312.33 ft
Step-by-step explanation:
The arrangement of the Eastern and Western lighthouses and the position of the boat are as shown in the attached diagram.
Using sine rule,
28/Sin 37 = 40/Sin B => Sin B = (40 Sin 37)/28 = 0.8597 => B = Sin ^-1(0.8597) = 59.287°
Therefore,
Angle E = 180 - (37+59.287) = 83.713°
Using the sine rule again;
BW/Sin E = 28/Sin 37 => BW = (28 Sin 83.713)/Sin 37 = 46.246 ≈ 46.27 miles.
The boat is 46.27 miles from the western lighthouse. The correct answer is A.
Answer:
5 + 102x
Step-by-step explanation:
5(-8+6x) - 9(-5-8x)
= -40 + 30x + 45 + 72x
= 5 + 102x
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