Answer:
Step-by-step explanation:
perimeter=2(85)+π(12.5)=220+2×12.5π
=170+25×3.14
=170+78.5
=248.5
distance ran=3×248.5=745.5 yards.
Answer:
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
substitute the values in the formula
Answer:
Katherine will make minimum 8 playlists. Each playlist will contain 4 pop songs and 9 rock songs.
Step-by-step explanation:
We have been given that Katherine has 32 pop songs and 72 rock songs on her mp3 player. She is willing to organizing the songs into playlists such that there are equal number of pop songs and an equal number of rock songs into each playlist.
We can find the minimum number of playlists by finding GCF of the given two numbers.
We can write 32 = 2^5 and we can write 72 = 2^3*3^2
Therefore, GCF of the two numbers is 2^3 = 8.
Hence, she will be making total 8 playlists where each playlist will contain 4 pop songs and 9 rock songs.
You can solve this by making a proportion.
you cross multiply and divide to solve this. your answer is 8.
√36 square inches = 6 inches (length of sq RSTU)
6 inches x 4=24 inches (per. of sq RSTU)
-----------------------------------
1u=24 inches
3u=24 inches x 3=72 inches (per. of sq WXYZ)
-----------------------------------
72 inches ÷ 4=18 inches (length of sq WXYZ)
18 inches x 18 inches = 324 square inches( area of sq WXYZ)
Ans: 324 square inches
