Answer:
1.55 feet.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle R = 24°
Hypothenus = RS = 3.8 feet
Opposite = ST = x
The value of x can be obtained by using the sine ratio. This is illustrated below:
Sine R = Opposite / Hypothenus
Sine 24 = x / 3.8
Cross multiply
x = 3.8 × Sine 24
x = 3.8 × 0.4067
x = 1.55 feet
Thus, the Lenght ST is 1.55 feet.
7 + 3.(2 - 3x) = 67
3 brackets are distributed
7+6-9x = 67
13-9x = 67
-9x = 67
x = 67/-9
368 miles / 16 gallons
368/16=23 miles per gallon
The volume of a box is equal to the product its width, length and height
V = whl
Since all of the sides are 4 inches, we end up with
V= 4*4*4
Simplify to V = 16*4 = 64.
If the volume of one box is 64:
V = 64
The volume of 12 boxes is 64 * 12.
12V = 768
Since the volume of 12 boxes is the same as the volume of the carton, the volume of the carton must be 768 cubic inches.