Answer: shorter: 24 longer: 41
Step-by-step explanation: we need to write an equation. x+(2x-7)=65. We don’t need the parentheses, but I put them so it would make it a bit more clear. Simplify: 3x-7=65. Add 7 to both sides: 3x=72. Divide by three: 72/3=24 Now we know the shorter piece is 24. 24x2-7=48-7=41. We know these are correct because 24+41=65
Answer:
y=29
Step-by-step explanation:
The angles are vertical angles so they are equal.
4y-8 = 79+y
Subtract y from each side
4y-y -8 = 79+y-y
3y -8 = 79
Add 8 to each side
3y-8+8 = 79+8
3y = 87
Divide each side by 3
3y/3 = 87/3
y=29
Answer:
It will be a positive 3 i hope this helps
Step-by-step explanation:
Kinetic engery = -1/2mv^2
Work = Fd
Combine:
-1/2mv^2 - Fd = 0
-1/2mv^2 = (0.30*15000*9.81*cos(6))d = 0
Multiply both sides by 2:
v^2 = 2d(0.30*9.81*cos(6))
Solve for d:
d=v^2 / 2(0.30*9.81*cos96))
v = speed:
d = 35^2 / 2*0.30 * 9.81 * cos(6)
d = 1225 / 5.85376
d = 209.27 meters. Round answer as needed.