×<_ 24 is the answer I believe.
Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)
We know that
1 ft--------> is equals to 12 in
the ramp is 12 inches tall----------> 1 ft tall
<span>A ramp measures------------------> 6 ft long
</span>
<span>applying the Pythagorean theorem
</span>c²=a²+b²
where
c-----> 6 ft long
a----> horizontal distance
b-----> 1 ft tall
a²=c²-b²------> a²=6²-1²-----> a²=35------> a=√35------> a=5.92 ft
the answer is
5.92 ft
They are equal. They're equal because if you simplify 500/600, it becomes 5/6.
9514 1404 393
Answer:
3 months
Step-by-step explanation:
We don't know what's on your list of "useful financial formulas." One that can be used here is the formula for simple interest:
I = Prt . . . . . interest on principal P at annual rate r for t years
Solving for t gives ...
t = I/(Pr)
Filling in the given values, we can find t to be ...
t = 138/(4800×0.115) = 138/552 = 1/4
1/4 year is 3 months -- the duration of the loan.
