Answer:
w =< 70
(width is less or equal to 70 inches)
Step-by-step explanation:
Let l = length, w = width, h = height
Restrictions given in this question:
'sum of perimeter of the base and the height cannot exceed 130 inches'
perimeter of the base is 2 width and 2 length of the box
perimeter = 2w + 2l
Therefore, inequality involves here is
2w + 2l + h =< 130
(Note that =< here means less or equal)
Then a new condition given with
height, h = 60 in
and length is 2.5 times the width
l = 2.5w
Substitute this new condition into the equation will give us the following:
2w + 2(2.5w) + 60 =< 130
2w + 5w + 60 =< 130
7w + 60 =< 130
7w =< 130-60
7w =< 70
w =< 10
Answer:
V = 2143.57 cm^3
Step-by-step explanation:
We want to find the volume of the sphere
V = 4/3 pi r^3 where r is the radius and pi = 3.14
V = 4/3 ( 3.14) ( 8)^3
V = 2143.57333 cm^3
Rounding to the nearest hundredth
V = 2143.57 cm^3
Answer:
162 square inch
Step-by-step explanation:
Area = Length * Width
Area = 
I=Prt
I=$1,200(0.04)3
I=$144
Answer:
The 3rd term is
Step-by-step explanation:
From the given information, the first term of the sequence is
The common ratio of the sequence is
The explicit formula for a geometric sequence is :
To find the third term, we put n=3 to get:
This simplifies to:
