Area = π x r^2
Area = π x 12^2
Area = 144π or 452.16 square units. ( using 3.14 for PI)
Circumference = 2*PI *radius
Circumference = 12π or 37.68 units ( using 3.14 for PI)
Answer:
<AC=11
Step-by-step explanation:
<AB=70 and <BC=99 what is <AC=?
180-70=110
110-99=11
11-11=0
Step-by-step explanation:
f(x) = -0.01x² + 0.7x + 6.1
a) f(x) is a downward facing parabola, so the maximum height is at the vertex. The vertex of a parabola can be found using x = -b/(2a).
x = -0.7 / (2 × -0.01)
x = 35
f(35) = -0.01(35)² + 0.7(35) + 6.1
f(35) = 18.35
The maximum height is 18.35 feet.
b) The maximum horizontal distance is when the ball lands, or when f(x) = 0.
0 = -0.01x² + 0.7x + 6.1
0 = x² − 70x − 610
Solve with quadratic formula:
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-70) ± √((-70)² − 4(1)(-610)) ] / 2(1)
x = (70 ± √7340) / 2
x = 35 ± √1835
x = -7.84, 77.84
x can't be negative, so x = 77.84. The ball's maximum horizontal distance is 77.84 feet.
c) When the ball is first launched, x = 0. The height at that position is:
f(0) = 6.1
The ball is launched from an initial height of 6.1 feet.
![x \leq -2\\ (- \alpha ,-2]](https://tex.z-dn.net/?f=x%20%20%5Cleq%20-2%5C%5C%0A%28-%20%5Calpha%20%2C-2%5D%20)
Note: the infinity character would not render correctly, so I used alpha instead. Pretend it's an infinity sign.
Answer:
(C) α + β + γ
Step-by-step explanation:
The sum of interior angles of ΔOCB & ΔOCA = 180° x 2 = 360°
α + β + γ + (360°-x) = 360°
x = α + β + γ
