Answer:
2 feet
Step-by-step explanation:
880/440 = 2
Circumference of a Circle,C=2πr
π=3.14
r= of the circle
Area of the circle= πr²
We know that
Area= 49 π²
πr²=49
r²=49/π
=49/3.14
=15.60
r= √15.60
=3.9 units
Circumference of a Circle,C=2πr
=2*3.14*3.9
=24.492 units
Answer: The answer is 117
Step-by-step explanation:
This is because the triangles are both 18 cm^2 and the square is 81 cm^2. You add 36 and 81 to get 117.
Answer:
x = 1 - 5t
y = t
z = 1 - 5t
Step-by-step explanation:
For the equation of a line, we need a point and a direction vector. We are given a point (1, 0, 1).
Since the line is suppose to be a tangent to the given curve at the point (1, 0, 1), we need to find a tangent vector for which the curve passes through that point.
We have x = e^(-5t)cos5t
at t = 1, x = e^(-5)cos5
at t = 0, x = 1
y = e^(-5t)sin5t
at t = 1, y = e^(-5)sin5
at t = 0, y = 0
z = e^(-5t)
at t = 1, z = e^(-5)
at t = 0, z = 1
Clearly, the only parameter value for which the curve passes through the point (1, 0, 1) is t = 0.
In vector notation, the curve
r(t) = xi + yj + zk
= e^(-5t)cos5t i + e^(-5t)sin5t j + e^(-5t) k
r'(t) = [-5e^(-5t)cos5t - e^(-5t)sin5t] i +[e^(-5t)cos5t - 5e^(-5t)sin5t] j - 5e^(-5t) k
r'(0) = -5i + j - 5k
is a vector tangent at the point.
We get the parametric equation from this.
x = x(0) + tx'(0)
= 1 - 5t
y = y(0) + ty'(0)
= t
z = z(0) + tz'(0)
= 1 - 5t
Answer:
(0,1)
Step-by-step explanation:
This is because (0,1) is right on the line, while the other choices are inside of the blue shaded area.
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