Answer:
2
Step-by-step explanation:
f(x) = 1 / x
f(1/2) = 1 / (1/2)
Reciprocal of 1/2 is 2, since you flip numerator and denominator:
f(1/2) = 2
Given data:
The given equationn of the circle is (x + 1)^2 + (y - 5)^2 = 16.
The standard equation of the circle is,
The given equation can eb written as,
Compare the above equation with standard equation.
Thus, the coordinate of centre is (-1, 5) and radius is 4.
Volume of a cylinder = πr^2h
π(2)^2(3)
12π
v=37.68 inches cubed
Answer:
Apply the sine theorem in triangle ABC:
sin C = AB/AC = 4/5
=> C = arcsin(4/5) = 53.13 deg
As shown in picture, AB//CD. Using the same side interior angles theorem:
=> angle BCD = angle ABC = 90 deg
=> angle ACD = 90 - angle ACB = 90 - C = 90 - 53.13 = 36.87 deg
Apply the cosine theorem in triangle ACD:
cos C = AC/CD
=> CD = AC/cos C = 5/cos(36.87) = 5/0.8 = 6.25
=> Option C is correct
Hope this helps!
:)
