Answer:
The rotation angle measures 214°.
Step-by-step explanation:
Arc length formula:
The arc length equals the radius multiplied by the central angle (in radians).
L= rθ
L= Arc length
r= Radius
θ= Central angle (in radians).
Given L= 280 feet and diameter =150 feet.
Radius
feet =75 feet
L= rθ

radians.
We know that,
π radian= 180°


= 214°
The rotation angle measures 214°.
For this scenario, we can define:

Where,
d represents distance
v signifies speed
t indicates time
Rearranging to find time gives us:

The total driving duration is half an hour:

Rearranging for d results in:
Conclusion:
she lives 18 miles from the store
Answer:
x = 25
Step-by-step explanation:
Given that ray AP divides angle CAT, it implies that

Also, 
This leads to, 
As stated,

Consequently,

Grouping similar terms together,

Thus, x is 25.
To find the meal price, divide the tip by the tip percentage:
3.25 / 0.20 = 16.25
The cost of the meal is $16.25
Answer:

Step-by-step explanation:
The equation provided is:
d = 5x + 10xf
We need to isolate x from this equation.
Factoring out x from the right side gives us,
d=x(5+10f)
To find x, divide both sides by (5+10f),

Thus, this represents the sought value for x.