Answer:
Juan's current age = 12
Tim's current age = 8
Step-by-step explanation:
Let x= Juan's current age; x+10=Juan's age in 10 years
Then (1/3)x+4=Tim's current age;
Now we are told that:
x+10=2{(1/3)x+4}+6 eliminate brackets
x+10=(2/3)x+8+6 =(2/3)x+14 multiply both sides by 3
3x+30=2x+42 subtract 30 and 2x from both side
s
3x-2x+30-30=2x-2x+42-30 collect like terms
Juan's current age: x=12
Tim's current age: (1/3)x+4=(1/3)*12+4=8
4 years older than 1/3 of Juan's age=(1/3)*12+4=8
8=8
In 10 years, Juan will be 6 years older than twice as old as Tim is now.
12+10=22
2*8+6=22
22=22
Answer:
The proof that πk(C1)=πk(C2) of course would just apply the similarity of polygons and the behavior of length and area for changes of scale. This argument does not assume a limit-based theory of length and area, because the theory of length and area for polygons in Euclidean geometry only requires dissections and rigid motions ("cut-and-paste equivalence" or equidecomposability). Any polygonal arc or region can be standardized to an interval or square by a finite number of (area and length preserving) cut-and-paste dissections. Numerical calculations involving the πk, such as ratios of particular lengths or areas, can be understood either as applying to equidecomposability classes of polygons, or the standardizations. In both interpretations, due to the similitude, the results will be the same for C1 and C2.
Answer:
34 feet
Step-by-step explanation:
let length of ladder be x
x = 32.131083564
Answer:
y = 8
Step-by-step explanation:
Step 1: Write equation
3 - 5y = -37
Step 2: Subtract 3 on both sides
-5y = -40
Step 3: Divide both sides by -5
y = 8
