Answer:
The distance of needle cover as it rotate is 0.700688 cm
Step-by-step explanation:
Given as :
The length of the needle = r = 24 cm
The needle is rotated at angle = Ф = 96°
The distance of needle cover as it rotate = length of arc made = l cm
The radius of arc = length of needle = r cm
<u>Now, According to question</u>
The distance of needle cover as it rotate = 
where , π = 3.14
Or, l = 
Or, I = 
Or, l = 75.36 × 0.533°
∵ 180° = 3.14 radian
So, 0.533° = 0.0092978
So, l = 75.36 × 0.0092978
∴ l = 0.700688 cm
So,The distance of needle cover as it rotate = l = 0.700688 cm
Hence, The distance of needle cover as it rotate is 0.700688 cm Answer
Answer:
See below
Step-by-step explanation:
The initial ordered-pairs are 
We have a rotation of 90 degrees counterclockwise with respect to origin
Note. Previously the points were

After the rotation, we have

Thus, 
Then shifting horizontally to the right 2 units, we get ΔA'B'C'
Thus,

Answer:
Part 1) 
Part 2) There are about 
Step-by-step explanation:
Part 1) we know that
1 month=4 weeks
Let
x------> the number of hours of practice for three months
so
Convert months to weeks
3 months=3(4)=12 weeks
using proportion

that means------> In three months (12 weeks) the pianist practice 180 hours
Part 2)
Let
x------> the number of bass
y------> the number of catfish
we know that
Using proportion

There are about 