Zoe gives 7 shells to Dev, leaving her with 48. Dev then has 16 shells in total. Step-by-step explanation: Denote the initial shell count for Dev as A and Zoe’s as B. Based on the scenario where Zoe transfers x shells to Dev while then possessing three times the number of shells relative to him, the resulting references show that Zoe provided 7 shells, leaving her count at 48 while Dev's total became 16.
The answer is A. 55. Explanation: For the 35%, take your 200 and divide it by 2 to yield two 100's. Since 35% equates to a portion of 100%, grab 35 from each 100 and sum them up to reach 70. For the proportion of 3/8, divide which results in 0.375 then multiply by 200 to ascertain that 75 are yellow tags. Adding 75 to 70 provides a total of 145, which when subtracted from 200 results in 55, indicating there are 55 red tags.
This question reveals an intriguing pattern.
The rule or pattern to follow here is:
For the left side of the number compared to its predecessor: (First digit x Third digit + 1)
For the right side: (Second digit x Fourth digit -1)
For instance, consider 6447. Next, let's examine its previous number, 9876.
Now, 
and
that's how we arrived at 6447
Next, for the third number, 2527, let's look at its previous number, 6447
Now, 
and 
that's how we reached 2527
Following the same reasoning, the missing number should be 534.
This conclusion came from applying the rule of the pattern as:
and
Thus, we derived 534.
Answer:
He is dividing the angle BAC into two equal parts.
Step-by-step explanation:
Initially, he places the compass at point A and draws two small arcs intersecting points D and E. Next, setting the compass at D and then at E, he draws two arcs that intersect between the line segments AB and AC.
The bisecting line is drawn from point A through the intersection of these arcs.
Solution Procedure
Considering the spool as a cylindrical shape, and calculating the circumference based on the area cited, we establish the connection between circumference and area as follows:
... C = 2√(πA)
To find ten times this circumference, we calculate:
... 10C = 20√(π·20 cm²) = 40√(5π) cm ≈ 159 cm
Derivation of Formulas
The standard formulas for circumference and area are:
... C = 2πr
... A = πr²
Multiplying the area formula by π and extracting the square root yields:
... πA = (πr)²
... √(πA) = πr
Doubling this value results in the circumference formula:
... C = 2√(πA) = 2πr
