Hello from MrBillDoesMath!
Answer:
12 sqrt(2)
Discussion:
Since we have a right triangle,
cos(45) = side adjacent/ hypotenuse
= 12/ c
As cos(45) = sqrt(2)/2 the above equation becomes
sqrt(2)/2 = 12/c => multiple each side by "c"
c sqrt(2)/2 = 12/c * c =>
c sqrt(2)/2 = 12 => divide both sides by sqrt(2)/2
c = 12/ (sqrt(2)/2) =>
c = 12 *2 / sqrt(2) => as 2/sqrt(2) = sqrt(2)
c = 12 sqrt(2)
which is the first answer provided.
Thank you,
MrB
I'll say 2,000 , maybe 3 with money left over for other expenses
X = plan A and y = plan B
7x + 9y = 720
5x + 3y = 360.....multiply by -3
---------------
7x + 9y = 720
-15x - 9y = -1080 (result of multiplying by -3)
---------------add
-8x = - 360
x = -360/-8
x = 45 minutes <== plan A
5x + 3y = 360
5(45) + 3y = 360
225 + 3y = 360
3y = 360 - 225
3y = 135
y = 135/3
y = 45 minutes <== plan B
so both plans last 45 minutes <==
Find 7% of 5000 students ?
Answer :
<u>So, 7% of 5000 students is 350 students.</u>