Volume of the box = length * width * height
length of original peice = x + 10 , width = x
length of box (x + 10) - 4 = x + 6
width of box = x - 4
height of box = 2
so we have
2 * (x -4) * ( x + 6) = 832
2x^2 + 4x - 48 = 832
2x^2 + 4x - 880 = 0
x^2 + 2x - 440 = 0
(x + 22)(x - 20) = 0
x = 20
so width of original piece of metal = 20 ins , length = 30 inches.
Answer:
60
Step-by-step explanation:
A circle is 360 degrees. If we rotate through 1/6 of the circle
360 *1/6 = 60
We rotate through 60 degrees
Answer:1 is 36 friends. 2 is $24 as her weekly allowance. 3 is 37 students on each bus
Step-by-step explanation:1. 80-8 because 8 is the amount she has left. You would get 76 which is the amount she gave away. Then you divide 76 by 2 because she gave 2 balls to 1 friend. Then you get the amount of friends she has.
2. When we read the problem it says she spent half of her allowance on mini golf. The half is very important. She earns $20 from cleaning her parent’s car and ends up with $32 all you do is subtract the $20 from $32 because it’ll leave you with 1/2 the money she began with (32-20=12). Then she she already spent half of the money you can either add 12 or multiply the 12 by 2 to get your answer (12+12=24 or 12•2=24).
3.(229-5) you’re subtracting 5 from the 229 students because 5 of them traveled in car. Then you do 224 students divided by 6 buses and you should get 37 students per bus.
The area of a circle is defined as Pi R^2
Since we only have the diameter and Pi, we need to solve for the radius.
The radius is 1/2 of the diameter, so divide 6 by 2 to get our radius.
6 / 2 = 3
Our radius is 3.
Now let's plug in our formula.
A = 3.14 x 3^2
3 x 3 = 9
9 x 3.14 = 28.26
Your area is 28.26 units ^2
I hope this helps!
