The ratio a:b is 3:8
Step-by-step explanation:
In simple words, the ratio a:b means the fraction a/b.
So we will have to solve the given equation for a/b
Given

Dividing both sides by 8

Dividing both sides by b

The ratio a:b is 3:8
Keywords: Ratios, Fractions
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If they are proportional, then y/x should always be the same.
So 9/2= 4.5
We need to find the y value at x=3 to make y/x equal 4.5
4.5 = y/3
y = 4.5*3 = 13.5

The rows add up to

, respectively. (Notice they're all powers of 2)
The sum of the numbers in row

is

.
The last problem can be solved with the binomial theorem, but I'll assume you don't take that for granted. You can prove this claim by induction. When

,

so the base case holds. Assume the claim holds for

, so that

Use this to show that it holds for

.



Notice that






So you can write the expansion for

as

and since

, you have

and so the claim holds for

, thus proving the claim overall that

Setting

gives

which agrees with the result obtained for part (c).
Answer:
tan 11 pi dived by 6 is equal to -118.307586549