Answer:
The correct option D.
Step-by-step explanation:
The given function is
Where f(d) is the height of the ball at horizontal distance d.
Put f(d)=0, to find the distance where the ball touch the ground.
Quadratic formula:
Using the quadratic formula we get
Therefore the ball is in air between d=-0.146 to d=9.146.
The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.
Therefore the correct option is D.
Answer:
x = 30
Step-by-step explanation:
The figures are similar, thus the ratios of corresponding sides are equal, that is
= 
( cross- multiply )
27x = 810 ( divide both sides by 27 )
x = 30
Surface area of the prism= surface area of the base + surface area of the two triangles + surface area of the two rectangles.
Surface area of the base=(3 yd * 7 yd)=21 yd².
Surface area of the two triangles=2*(3 yd * 4 yd)/2=12 yd².
Surface area of the two rectangles=(7 yd * 5 yd) + (7 yd * 4yd)=35 yd² + 28 yd²=
=63 yd²
Surface of the prism=21 yd² + 12 yd² + 63 yd²=96 yd²
Remember:
surface area of a triangle=(base * height)/2
surface area of a rectangle=base * height.
Answer: C.96 yd²
