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A regular hexagon is inscribed in a circle with a radius of 10 meters. What is the length of each side of the hexagon?
The current in a circuit is i = 2.00 cos 100t. Find the voltage across a 100-microfarad(uF) capacitor after 0.200 s, if the initial voltage is Zero (one microfarad(uF)=10 to the power of -6 F).
Gather three of your favourite packaged foods; perhaps one from each: breakfast, lunch and dinner. Use the model explained in the "Are You Sure It's Fat Free?"
Find the solution of the following equations: Use the Euler method with the step size shown to advance four steps from the given initial condition with the given differential equation:
The temperature at a point in a ball with conductivity K is inversely proportional to the distance from the center of the ball. Find the rate of heat flow across a sphere S of radius a with center at the center of the ball.
Eve said to Adam, "If you give me one dollar, then we will have the same amount of money." Adam then replied, "Eve, if you give me one dollar I will have double the amount of money you are left with." How much does each have?
Math problem, After visiting his doctor,allen went to the pharmacy for a(n) 8 day supply of drug A,a(n)24 day supply of drug B and a(n) 15 day supply of drugC and how long will it be untill he can fill all three prescription same day?
Let the cubic equation ax^3 + bx^2 +cx + d =0 have integral coefficients a, b, c, and d. Show that if a =1, every rational root of the cubic must be an integer that divides the constant term d.
Recall that in Theorem 1.1.3 we proved that O is the center of the circumscribed circle, that is, a circle containing the vertices A, B, and C of the triangle. Use the Two-Reflections Theorem to prove that the inscribed angle ABC is measured by ha..
show that the number of different triples that can be chosen from N items is precisely N(N-1)(N-2)/6..(use mathematical induction)
Find the variance for the given data. Round your answer to one more decimal place than the original data.
A truck travels at a constant speed of 30.0m/s for 0.8 h. Find the total distance traveled in km.
the length of the red line segment is 12,and the length of the blue line segment is 4. how long is the transverse axis.
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