To start, the question is asking for surface area of a cylinder, meaning you will have to use this formula to find it: A=2πrh+2πr^2.
Since you already know that the diameter of the plastic cylinder is 4 marbles long, and each marble is 2 cm in diameter, you would multiply 4 and 2 to get that your diameter is 8 cm. However, since the surface area of a cylinder formula uses radius, you would simply divide 8 by 2 to get that the radius of the cylinder is 4 cm.
Now, since you already know that the height of the cylinder is equal to 10 marbles, multiply the amount of marbles by 2 to get that the height of the cylinder is 20 cm.
Now that you know the height and the diameter of the cylinder, plug the values into the formula: A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, simplify the equation as according to PEMDAS and you get that the area of plastic needed to make one cylinder is 602.88 cm squared
Answer:
Step-by-step explanation:
1. (a) 24 X 3/4= 18 multiplication
you have to multiply to get a smaller answer since you are using a fraction.
2. (a) 24 / (-3/4)= -32 division
you have to divide to get a bigger number than started since you are using a fraction
3. (A) 12-15= -3 subtraction
when you subtract a bigger number than the first number you end up normally with a negative number
4. (a) 12 -(-15) subtraction
when you subtract with a negative number you distribute so the two negatives cancel out and it become an addition sign. (if you look at it the two negatives and the parenthesis looks like an addition sign (+)
5. (A) -18 / (-3/4) =24 division
when you divide two negative values you will always get a positive answer. And again dividing a fraction will get you a bigger answer.
Answer: D - 3 + 2√2 + √3
Solution: For the first question, we can just simply add up all of the terms to find the perimeter. Keep in mind that you cannot collect like terms for √3 and√2, since they are not alike. You have to keep them separate.
Hence, the only via solution is (D) 3 + 2√2 + √3
Answer: C - √10 + √13 = √23
Explanation: If we have two different terms inside the square root, we are not allowed to add them together; yes, you can multiply and divide, but not add or subtract.
For (A), if we square a number inside the root, we simply remove the square root sign, so that is correct.
For (B), we are allowed to multiply two square root numbers inside to form one unit.
For (D), we are allowed to divide two square root numbers inside to form one unit.
There are 2000 pounds in 1 ton
so 23780/2000 = 11.89
C. 11 89/100 tons is your answer
Im guessing A. But I would be wrong.
