Answer:
n/8
Step-by-step explanation:
Volume=lwh
So if 7.35 m^3 is the volume, divide it by (4.2x0.5) (50 cm=0.5 m)
7.35/2.1=3.5
So the missing value, or width, is 3.5 meters
Answer:
The largest integer that belongs to the interval (-∞, 31] is 31
Step-by-step explanation:
The given interval is (-∞, 31], from which the round bracket indicates that the number next to the bracket is not included in the inequality while the square [] (closed) bracket indicates that the number next to the bracket is included in the inequality
Therefore, 31 is inclusive in the inequality while -∞ is excluded.
The find the largest integer that belongs to the interval (-∞, 31] the numbers are arranged on the number line as follows
The numbers presented in number line form -∞, .....-1, 0, 1, 2,..., 31
Giving 31 as the largest integer in the inequality
Calculation:
(Length) (width) (height)
(2w+4) (w) (18-w) = 1152
(2w^2+4w) (18-w) = 1152
Distributive property:
36w^2 -2w^3+72w-4w^2 =1152
Remember to use FOIL method:
-2w^3 +32w^2+72w-1152 =0
Like terms:
-2(w^3-16w^2-36w+576) = 0
Factor it by 2:
w^3 -16w^2-36w+576 =0
Simplify:
w^2(w-16)-36(w-16) =0
(w^2-36) (w-16) = 0
w= -6,6,16
Width:
w = 6,16
Since width is 16, then the height should be less than the width (18-16=2)
Length of gift bag: 2(6)+4
=16 inches.
Width of the bag: 6
Height of the bag: 18-6
12 inches.
Answer: 16, 6 and 12 inches.
