Answer:
4.21399176955
Step-by-step explanation:
4.21399176955
A student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 centimeters, and the l
1 answer:
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Answer:
Step-by-step explanation:
The angle of depression from the ranger at point A and the angle of elevation from the fire on the ground at Point C are congruent (interior opposite angles).
The distance from the ranger up in the tower to the fire on the ground is the hypotenuse AC of the right triangle ABC.
sin 30 = 80/AC
AC = 80/sin30 = 80/0.5 = 160 ft
The distance is
The exact length of the curve given the following system of inequalities is ≈ 1637.
<h3>What is a system of inequalities?</h3>A system of inequalities refers to a set of two or more inequalities with one or more variables. This kind of system is used when a problem needs a range of solutions a there is over one constraint.
<h3>What is the length of the curve with the above system of inequalities?</h3>Step One - Let's restate the equations
We have:
x = 5 + 9t²
y = 4 + 6t³
Where
0 ≤ t ≤ 3
Step 2 - Differentiate them
The first derivative of dx/dt
= d/dt [9t² + 5)
= 9 * (d/dt) (t²) + (d/dt) (5)
= 9.2t + 0
= 18t
Also differentiate (dy/dt)
= d/dt [6t² + 4]
= 6 * (d/dt) [t³] + (d/dt) [4]
= 6.3 t² + 0
= 18t²
To find the length of the arc:
L =
We can thus deduce that:
=
=
Compute the definite integral and factor out the constraints and we have:
dt = 4912/3
≈ 1,637.3
Hence the exact length of the curve is
≈ 1637
Learn more about the system of inequalities at:
brainly.com/question/9774970
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