Answer:
The approximate length of arc s is 14.1 inches
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
step 1
Find the circumference of the circle
The formula to calculate the circumference is equal to

we have

substitute

step 2
Find the approximate length of arc s
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find the arc length s for a central angle of 135 degrees

Answer:
Simplifying
3n + 7 = 30
Reorder the terms:
7 + 3n = 30
Solving
7 + 3n = 30
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + 3n = 30 + -7
Combine like terms: 7 + -7 = 0
0 + 3n = 30 + -7
3n = 30 + -7
Combine like terms: 30 + -7 = 23
3n = 23
Divide each side by '3'.
n = 7.666666667
Simplifying
n = 7.666666667
Step-by-step explanation:
Answer:

Explanation:
The number of different ways in which the<em> two armadillos</em> would be at the ends of the row is 2:

The number of different combinations in which<em> two of the three aardvarks </em>can sit at the ends of the row is P(3,2):

Therefore, there are 2 + 6 = 8 different ways in which the two animlas on the ends of the row were both armadillos or both aardvarks.
Now calculate the total number of different ways in which the animals can sit. It is P(5,5):

Thus, <em>the probability that the two animals on the ends of the row were both armadillos or both aardvarks</em> is equal to the number of favorable outputs divided by the total number of possible outputs:
