Sammy has a 10-foot ladder, which he needs to climb to reach the roof of his house. the roof is 12 feet above the ground. the ba
1 answer:
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Statements A, B, and C are true.
Step-by-step explanation:
Step 1:
A cone, a cylinder and a sphere all have radii of 3 inches. The cone and cylinder have heights of 2 inches.
The volume of the cone, Here r = 3 inches and h = 2 inches.
So the volume of the cone cubic inches.
The volume of the cylinder, Here r = 3 inches and h = 2 inches.
So the volume of the cylinder = cubic inches.
The volume of the sphere, Here r = 3 inches.
So the volume of the sphere cubic inches.
Step 2:
Now we check to see which statements are true.
A. About 113 cubic inches of catnip will fit inside a sphere-shaped toy so it is true.
B. About 18.8 cubic inches of catnip will fit inside a cone-shaped toy so it true.
C. The sphere-shaped toy holds the most of the three so it is true.
D. No shape holds 169.6 cubic inches, so D is false.
E. The toys shaped like a cone and a cylinder do not hold the same amount of catnip in them. So it is false.
P.S. I couldn't see the options B, D, and E completely.
Answer:
129
Step-by-step explanation:
Let a and b be two numbers.
We have been given that the greatest common divisor of two positive integers less than 100 is equal to 3. We can represent this information as .
Their least common multiple is twelve times one of the integers. We can represent this information as .
Now, we will use property .
Upon substituting our given values, we will get:
Switch sides:
Now, we need to find a number less than 100, which is co-prime with 12 after dividing by 3.
The greatest multiple of 3 less than 100 is 99, but it is not co-prime with 12 after dividing by 3.
Similarly 96 is also not co-prime with 12 after dividing by 3.
We know that greatest multiple of 3 (less than 100), which is co-prime with 12, is 93.
Let us add 36 and 93 to find the largest possible sum of the required two integers as:
Therefore, the required largest possible sum of the two integers is 129.