27-30.

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Mathematics

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Explanation & Answer

27. x=7

y=sqrt(49+49)=7sqrt(2)

y=7sqrt(2)

28. cos 60 =a/8 

1/2=a/8

a=4

sin 60 = b/8

sqrt(3)/2=b/8

b=4sqrt(3)

c=sqrt(192-48)=sqrt(144)=12

c=12

29. 6r=180

r=30

2r=60

3r=90

cos 60 =6/s

s=6/ cos 60 = 12

s=12

t=sqrt(144-36)=sqrt(108)

t=6sqrt(3)

30. 2n+90=180

n=45

a=10

cos 45 =b/10

b=10cos 45 =10*sqrt(2)/2

b=5sqrt(2)


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