Answer:
145
Step-by-step explanation:
The volume of the rectangular prism bin is area of base * height.
Base/top is a square, so area would be 150 * 150 = 22,500
Thus, volume of bin = 22,500 * 210 = 4,725,000
Using volume of sphere formula and given radius of each ball is 16cm, we can say that
Volume of 1 Ball = ![\frac{4}{3}\pi r^3 = \frac{4}{3}\pi (16)^3=17,157.28](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%2816%29%5E3%3D17%2C157.28)
Since, 190% is including the packing, we can take volume of 1 ball (inclusive of packaging) to be 1.9 * 17,157.28 = 32,598.83
How many of this will fit in the bin, we divide bin volume by this:
Number of Balls = ![\frac{4,725,000}{32,598.83}=144.94](https://tex.z-dn.net/?f=%5Cfrac%7B4%2C725%2C000%7D%7B32%2C598.83%7D%3D144.94)
Rounding, we can say that we can fit 145 balls, 2nd answer choice is right.
Answer: Part A: The y-intercept of the line of best fit is about 4. This represents the starting point, or figure 0.
Part B: Using the line, you could determine that the slope is about 3/2, or 1.5, and the 13th month would be at about 24 matches.
Equation: y=4x+1.5 Hope this helped plz make brainly
All of the centra angles in a regular polygon must add up to 360 degrees. Also, because you're told that it is a regular polygon, the "regular" indicates that all of the central angles will be the same. Divide 360 degrees by 18 degrees to get the number of central angles, which is the same as the number of sides. 360/18 = 20. Therefore, the polygon has 20 sides. Hope that helps!
Answer:
727.29-248.5+x <=500
Step-by-step explanation:
He needs to deposit $21.21
Answer:
574.85 in² (approx.)
Step-by-step explanation:
The sphere's volume equation is V = (4/3) * π * r³, which we can set equal to the given volume of 1296 in³:
1296 = (4/3) * π * r³
Now solve for r to get r ≈ 6.7635 in.
The surface area of a sphere is SA = 4 * π * r². Now substitute r into that equation to get:
SA = 4 * π * (6.7635)² ≈ 574.85 in²