Answer:
72
Step-by-step explanation:
The area (A) of a rhombus is calculated as
A =
× d₁ × d₂ (d₁ and d₂ are the diagonals )
The diagonals bisect each other at right angles
d₁ = 2 × 6 = 12
Use the tangent ration in the upper left right triangle and the exact value
tan60° = 
tan60° =
=
=
( multiply both sides by 6 )
opp = 6
, then
d₂ = 2 × 6
= 12
Thus
A =
× 12 × 12
= 6 × 12
= 72
19. The balloon hits the ground means -16t2+25t+3=0
After you solve the equation, there are 2 solution ~1.67 or ~-0.11 (the time can not be negative) so the solution is 1.67s
20.substitute t=1 to the function -16(1)2+25(1)+3=-16+25+3=12 ft. So the height is 12ft when t=1
So,
Obviously, the car will travel 70 miles in one hour. So after one hour, the car will have traveled 70 miles. That leaves 18 miles.
The time it will take for the car to go another 18 miles will be 18 divided by 70.

Simplify.



Divide.
≈ 0.25714
So a car traveling at 70 mph will take approximately 1.25714 hours or 1.26 hours to travel 88 miles.
x^2 + 6x + 7 = (x + 3)^2 - 2
So the axis of symmetry is x = -3
The answer is A because 65.736 rounded to the nearest tenth is 65.7