Answer:
150.08 inches
Step-by-step explanation:
The question simply requires that we find the length of the arc that the dog walks.
Its leash rotates through 150° and the length of the leash (radius) is 60 inches.
The length of an arc is given as:
L = α/360 * 2πR
where α = angle of arc
R =radius
Therefore:
L = 150/360 * 2 * π * 60
L = 150.08 inches
The dog walks 150.08 inches
Answer:
6 n + 6 b + 1
Step-by-step explanation:
Simplify the following:
11 b - 7 - 3 n + 8 - 5 b + 9 n
Grouping like terms, 11 b - 7 - 3 n + 8 - 5 b + 9 n = (9 n - 3 n) + (11 b - 5 b) + (8 - 7):
(9 n - 3 n) + (11 b - 5 b) + (8 - 7)
9 n - 3 n = 6 n:
6 n + (11 b - 5 b) + (8 - 7)
11 b - 5 b = 6 b:
6 n + 6 b + (8 - 7)
8 - 7 = 1:
Answer: 6 n + 6 b + 1
90° is equal to
or 1.5707 radians.
Step-by-step explanation:
Step 1:
If an angle is represented in degrees, it will be of the form x°.
If an angle is represented in radians, it will be of the form
radians.
To convert degrees to radians, we multiply the degree measure by
.
For the conversion of degrees to radians,
the degrees in radians = (given value in degrees)(
).
Step 2:
To convert
90°,

radians.
So 90° is equal to
or 1.5707 radians.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have

isolate the variable y

Divide by -4 both sides
Remember
When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol
so

The solution of the inequality is the shaded area above the dashed line 
The slope of the dashed line is positive m=1/4
The y-intercept of the dashed line is (0,0)
The x-intercept of the dashed line is (0,0)
using a graphing tool
The graph in the attached figure
Using sine formula we have
8/sin60 = x/sin30
hence x= 8/√3 = 4.62