PLS HELP! TWO MATH QUESTIONS
2 answers:
There is a formula that relates the arc length of a circle of radius, r, to the central angle ,θ in radians. S = r(θ) where S is arc length, r is radius, and θ is the central angle.
So substituting into the formula for the first question we have: 5.4=6(θ) and solving for θ we get 0.9
Now for the second question substituting into the formula we have:
S = 6(
)
Solving this for S we find the arc length to be 9π
So substituting into the formula for the first question we have: 5.4=6(θ) and solving for θ we get 0.9
Now for the second question substituting into the formula we have:
S = 6(
Solving this for S we find the arc length to be 9π
You might be interested in
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
__
b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
