Answer: Width = 24 inches
Step-by-step explanation:
Let W represent the width of the rectangular sign.
The length of a rectangular sign is 6 inches more than half its width. It means that the length of the rectangular sign would be
W/2 + 6
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the sign is 432 square inches. Therefore, the equation for the area of this sign would be
W(W/2 + 6) = 432
W²/2 + 6W = 432
Multiplying both sides of the equation by 2, it becomes
W² + 12W = 864
W² + 12W - 864 = 0
W² + 36W - 24W - 864 = 0
W(W + 36) - 24(W + 36) = 0
W - 24 = 0 or W + 36 = 0
W = 24 or W = - 36
Since W cannot be negative, then
W = 24

To divide 53 by 8 wont be possible so u find a number that when you multiply by 8 it gives u a number closer to 58 which is 8*6=48 i.e 53 divided by 8 is 6 rem, then to get the reminder you subtract 42 from 53 i.e 53–48=5 so the final answer will be 6 and 5/6
Answer:
If your rounding up, its 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Eek! Let's give this a go. Things we know:
acceleration of Bond in free fall is -9.8 m/s/s
velocity of the truck is 25 m/s
displacement Bond will travel when he jumps is -10 m
What we are looking for is the time it will take him to hit the top of the truck, knowing that the truck can travel from one pole to the next in 1 second.
Our displacement equation is
Δx = v₀t + 1/2at²
Filling in we have

Simplifying we get

This is a quadratic that needs to be solved however you personally solve quadratics. When you do that, you find that the times it will take Bond to drop that displacement is either -.37 seconds or 5.47 seconds. Many things in physics can be negative, like velocity and acceleration, but time NEVER will be. So it takes Bond 5.5 seconds to drop to the roof of the moving truck. That means that he needs to jump when the truck is between the 5th and the 6th poles away from him.
Good luck with this!
Cheers!
Answer:
Arc Length = 68.7
Step-by-step explanation:
The formula that is used to find the arc length:
s = (θ/360) * 2πr
(You would get the value of θ, by subtracting 57 from 360)
(You would get r by dividing 26 by 2)
Now we can solve this;
s = (303/360) 2π(13)
s = 0.842 * 2π(13)
s = 0.842 * 0.283(13)
s = 68.7
Hope this helps!