The same sequence may be defined three ways: 1) f(x) = 1/4 x + 1/4 for x = {1, 2, 3, ...}, 2) a1 = 1/2 and an + 1 = an + 1/4 for n = {1, 2, 3, ...} and 3) an = 1/4 + 1/4 (n − 1) for n = {1, 2, 3, ...}.

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step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

step-by-step explanation:

given perimeter: 28cm

length: 9cm

atp,

2(l+w)=p of the reactangle

2(9+x)=28

18+2x=28

2x=28-18

x=10/2

x=5

therefore width is 5 cm

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step-by-step explanation: