B I’m just putting random letters because I have to add characters apparentlyndnnd
We use equations for geometric sequence. We do as follows:<span>
a(n) = a(1) r^(n-1)
20 = ar^(2-1)
</span>20 = ar<span>
a = 20/r
11.25= ar^(4-1)
</span>11.25 = ar^3
<span>11.25 = (20/r)r^3
r = 0.75
Hope this answers the question. Have a nice day.</span>
2m + 2p = 16 Subtract 2m from both sides
2p = 16 - 2m Divide both sides by 2
p = 8 - m
The expression is:
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7)
This expression can be reduced into a trigonometric function with one angle if we make use of the trigonometric identities. The appropriate identity is:
cos (A - B) = cos A cos B + sin A sin B
If we let
A = π / 5
B = π / 7
Therefore,
cos (π / 5) cos (π/7) + sin (π/5) sin(π/7) = cos (π/5 - π/7) = cos (2π/35)
