Answer:
Option E 15 cm
Step-by-step explanation:
we know that
The circumference of a circle subtends a central angle of 360 degrees
so
using proportion
Find out the length of arc DE by a central angle of 45 degrees
Let
x -----> the length of arc DE
Answer:
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The volume of the open-topped box is equal to
where
substitute
Convert to expanded form
using a graphing tool
Graph the cubic equation
Remember that
The domain for x is the interval -----> (0,1)
Because
If x>1
then
the width is negative (W=2-2x)
so
The maximum is the point (0.46,3.02)
see the attached figure
therefore
The value of x that maximizes the volume enclosed by this box is 0.46 inches
The maximum volume is 3.02 cubic inches
Answer:
x=8
Step-by-step explanation:
5x+14 = 6x+6
8=x or x=8
Answer:
p(2/5)=-4
Step-by-step explanation:
Plug in 2/5 for x
p(2/5)=5(2/5)-6
Combine like terms
p(2/5)=2-6
p(2/5)=-4
Answer: -1>4
Step-by-step explanation: