Answer:
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Answer:
sin75º=sin(30)º+45º)
=sin 30 cos 45+cos 30 sin 45
=1/2*√2/2+√3/2*√2/2
=√2/4+√6/4
=(√2+√6)/4
Check with calculator:
sin 75º≈0.9659
exact value=(√2+√6)/4≈0.9659
Answer:
–√(7) must also be a root of f(x)
Step-by-step explanation:
Given that the roots of an equation is 3 and √(7). This means that x = 3 or √(7). Therefore, the function is definitely going to be:
f(x) = (x – 3)(x² – 7)
This is because we are dealing with √(7) and what brought about √(7) was x² = 7.
If this is the case, we know that x² = 7 will give
x = ±√(7)
Hence, our roots are x = 3 or √(7) or –√(7). Therefore, –√(7) must also be a root of f(x).
Answer:
r = 24 ft
Step-by-step explanation:
Circumference is given by
C = 2 * pi *r
We know that C = 48 pi
48 pi = 2 * pi * r
Divide each side by pi
48 pi /pi= 2 * pi * r/pi
48 = 2 r
Divide each side by 2
48/2 = 2r/2
24 = r
