Forgot password? New user? Sign up
Existing user? Log in
Johnny and Klaus engineer an array of magnets in the following pattern:
Is the magnetic field stronger on side A or B?
Are you sure you want to view the solution?
A diagonal divides a large, outer square into two equal parts. A smaller square is inscribed in each part. Let the area of the blue square be A, and let the area of the orange square be B.
What is BA?
Are you sure you want to view the solution?
Which is larger?
A0B=21+2×21+2×2×21+2×2×2×21+⋯=20+2×21+2×2×22+2×2×2×23+⋯
Are you sure you want to view the solution?
A nomadic tribe in the northern hemisphere moves along the following route every year:
The tribe reaches its exact starting point from the spring and sets up its winter quarters there.
At what latitude ϕ are the winter quarters (in degrees)? Round to the nearest integer.
Note: Earth's radius is R=6371km.
Are you sure you want to view the solution?
Lynn has a calculator with only two buttons that perform +1 and ÷2.
She also has a screen with 9 significant figures, and it displays 0 when she gets the calculator.
If she wants to display π up to the eighth decimal (3.14159265), what is the fewest number of taps she needs to do?
Hint: The first 64 bits of π in binary are given below:
π≈11.00100100001111110110101010001000100001011010001100001000110100
2
Note: You may want to use the code environment below.
Are you sure you want to view the solution?
Problem Loading...
Note Loading...
Set Loading...