After 1.4 seconds, t = 1.4.
h(t) = 150 - 9(1.4)
Multiply 9 by 1.4 to get 12.6.
h(t) = 150 - 12.6
Subtract 12.6 from 150 to get 137.4.
h(t) = 137.4.
The height of the ball would be 137.4 after 1.4 seconds.
Hope this helps!
Answer:
C
Step-by-step explanation:
From the given coordinates
A(6, 0), B(0, 0) then AB = 6 - 0 = 6
B(0, 0), C(0, 8) then BC = 8 - 0 = 8
To calculate AC use Pythagoras' theorem on the right triangle formed
AC² = AB² + BC² = 6² + 8² = 36 + 64 = 100
Take the square root of both sides, hence
AC =
= 10
Perimeter = AB + BC + AC = 6 + 8 + 10 = 24 → C
Answer:
Angle 9: 60°
Angle 10: 30°
Side = radius = 40sqrt(x/3)
Area = [800sqrt(3)]x
Step-by-step explanation:
Total angle in a hexagon:
(6 - 2) × 180
720
Each interior angle:
720/6 = 120
angle 9 = 120/2 = 60
Angle 10 = 60/2 = 30
sin(60) = 20sqrt(x)/r
r = 20sqrt(x) ÷ sqrt(3)/2
r = 40sqrt(x/3)
Side:
sin(30) = ½s/(40sqrt(x/3))
½s = 20sqrt(x/3)
s = 40sqrt(x/3)
Area = (3sqrt(3))/2 × s²
Area = 3sqrt(3)/2 × 1600x/3
Area = [800sqrt(3)]x