The circumference of a circle with radius 6 inches is 12π inches. 15 minutes is 1/4 of the circle which is 60 minutes Therefore the tip moves 1/4 of 12π = 3π inches In 25 minutes the tip moves (25/60)12π = 5π inches Yes, you can also use the formula s = rθ θ is the angle of rotation. 15 minutes is equivalent to 90 degrees or π/2 radians Therefore s = 6 inches(π/2) = 3π inches 25 minutes is equivalent to 25/60 x 360 degrees = 150 degrees = 5π/6 radians
[3(3)-4][2^2]
=20
The answer is 20.
Answer:
x = -8 ± √62
Step-by-step explanation:
An equation needs an equals sign. I assume the expression equals zero?
x² + 16x + 2 = 0
To complete the square, start by making the leading coefficient 1 (which it already is).
Next, take half of the b coefficient, square it, and add the result to both sides.
(16/2)² = 8² = 64
x² + 16x + 64 + 2 = 64
Factor the perfect square:
(x + 8)² + 2 = 64
Solve for x:
(x + 8)² = 62
x + 8 = ±√62
x = -8 ± √62
Answer:
The area of the circle is 113.0 ft²
Step-by-step explanation:
To solve this problem we need to use the area formula of a circle:
a = area
r = radius = 6ft
π = 3.14
a = π * r²
we replace with the known values
a = π * (6ft)²
a = π * 36ft²
a = 113.04ft²
The area of the circle is 113.04ft²
round to the nearest tenth
a = 113.04ft² = 113.0 ft²
