Answer:
480 cm^3
Step-by-step explanation:
Total volume is the sum of the volumes of the 3 cuboids.
Cuboid at the bottom:
V = l×b×h
V = 12 × 5 × 4 = 240
Both on top are identical.
Their height is 10-4= 6 cm
Each has volume = 5×4×6 = 120
Total Volume = 240 + 120 + 120
= 480 cm^3
Find the slope first
m = (y₂ - y₁)/(x₂ - x₁)
m = (4-2)/(5-0)
m = 2/5
Find the slope-intercept equation
y - y₁ = m(x - x₁)
y - 2 = 2/5 (x - 0)
y - 2 = (2/5)x
y = (2/5)x + 2
This is the concept of application of quadratic expressions. Given that the height of the ball is modeled by the equation;
h=-7.3t^2+8.25t+2.1+5
The time taken for the ball to hit the ground will be given as falls;
-7.3t^2+8.25t+7.1=0
to solve for t we use the quadratic formula;
t=[-b+/-sqrt(b^2-4ac)]/(2a)
a=-7.3, b=8.25, c=2.1
t=[-8.25+/-sqrt[8.25^2+4*7.3*7.1]/(-2*7.3)
t= -0.572
or
t=1.702
since there is not negative time we take the time taken for the ball to hit the ground will be: t=1.702 sec
5510 = x + (x + 100) + (x + 200) + (x + 300) + (x + 400) + (x + 500) + (x + 600) + (x +700) + (x + 800) + (x + 900) = 10x + 4500
=> 10x = 5510 - 4500 = 1010
=> x = 1010 / 10 = 101
=> least prize = 101 and greatest prize = 101+ 900 = 1001.<----- answer
