Length of the box = 25 - 2x
Width of the box = 14 - 2x
Height of the box = x
a.) Volume of the box = x(25 - 2x)(14 - 2x) = x(350 - 50x - 28x + 4x^2) = 4x^3 - 78x^2 + 350x
Therefore, the function that models the volume of the box is V(x) = 4x^3 - 78x^2 + 350x
b.) 4x^3 - 78x^2 + 350x ≥ 240
4x^3 - 78x + 350x - 240 ≥ 0
x = 0.834, 5.438
The values of x for which the volume is greater than 240 in^3 is 0.834 ≤ x ≤ 5.438
c.) For maximum volume, dV/dx = 0
dV/dx = 12x^2 - 156x + 350 = 0
x = 2.882910931
Therefore, maximum volume = 4(2.882910931)^3 - 78(2.882910931)^2 +350(2.882910931) = 453.798 in^3
It will take him 8 minutes to read 13 pages.
Answer:
25 times larger
Step-by-step explanation:
hope this helped
Answer: im kinda losing brain cells rn
Step-by-step explanation:
Answer:
Angle 2=160
Angle 3=10
Step-by-step explanation:
The rhombus is made up of two isoceles triangle.
Angle 1 measures 160.
Since the triangle is a isoceles triangle, the opposite angles of the congruent sides is equal angles to each other.
So the reamaing angles in the top triangle are equal so we can use this equation
Remeber that triangle maximum degree it can hold is 180




We have two congruent triangle side they share Three sides. SSS
This means the corresponding angle of Angle 1 is Angle 2.
Angle 2=Angle 1 by CPCTC.
Angle 2=160
Angle 3 corresponds with one of the remaining congruent angles so it measures
10.