Emma is a lifeguard and spots a drowning child 30 meters along the shore and 50 meters from the shore to the child. Emma runs along the shore for a while and then jumps into the water and swims from there directly to the child. Emma can run at a rate of 4 meters per second and swim at a rate of 1 meter per second. How far along the shore should Emma run before jumping into the water in order to save the child

tangent

step-by-step explanation:

6^2 or 36

step-by-step explanation:

6000n

6×1000n

6×10^3 n

so we need 6n need to be a perfect cube

so n has to be 6^2 so that 6n is 6^3

what i'm saying is if you let n be 6^2 you have 6^3×10^3 or 60^3 which is a perfect cube

6 equilateral triangles

let x and 400 - x be the two numbers.  

==> 0.80x + 0.85(400 - x) = 400 - 68 from the statement of the problem.  

< ==> 0.80x + 0.85(400 - x) = 400 - 68  

==> 340 - 0.05x = 332  

< ==> -0.05x = -8 ==> x = 160, the first number ==> 400 - x = 240, the second number.