Answer:
237 students graduated
Step-by-step explanation:
Subtract 172 from 409, obtaining 237.
237 students graduated
To solve take circumference of the lamp shade( 2pi(r) or pi(d) ) so circumference is 12pi.
Then multiple by hight or altitude to get surface area ( circumference x height)
SA =72pi or ~226.19 in^2
If you are putting material on the top of lamp to, add pi(r)^2 or 36pi= ~113.10 in^2
Answer:
x = 11 and y = 4
Step-by-step explanation:
Given equations are :
x+y=15 ...(1)
-2x+5y=-2 ...(2)
We need to solve the systems of equations.
Multiply equation (1) by 2.
2x+2y=30 ...(3)
Adding equation (2) and (3).
-2x+5y+2x+2y = -2+30
7y = 28
y = 4
Put the value of y in equation (1).
x+4=15
x = 11
So, the solution of the given equations are x = 11 and y = 4.
Answer:
m = 8
Step-by-step explanation:
5(m+5)=7m+9 (distribute & evaluate parenthesis)
5(m)+5(5)=7m+9
5m + 25 = 7m + 9 (move all m-terms to one side and constants to the other)
5m - 7m = 9 - 25 (evaluate both sides)
-2m = -16 (divide both sides by -2)
m = (-16) / ( -2) = 8
the equation of a line in point-slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = - 2 and (a, b) = (2, 6), hence
y - 6 = - 2(x - 2) ← equation in point-slope form
