Answer:
There are 64,000 possible codes. Jillian is incorrect, since he added the possible options in each trial, instead of multiplied them(he did 40+40+40 instead of 40*40*40).
Step-by-step explanation:
From 0 to 39, there are 40 numbers.
The code has three values:
V1 - V2 - V3
When we have n trials with m possible options, the total number of opitons is:
In this question:
3 trials(values), with 40 options. So
There are 64,000 possible codes. Jillian is incorrect, since he added the possible options in each trial, instead of multiplied them(he did 40+40+40 instead of 40*40*40).
Answer:
3.897 
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded
Answer:
1. 225, south, 225, makes sense
2. 249, north, 249, makes sense
3. 212.25, north, 212.25, make sense
4. all real numbers
In this question, the oil production at 2004 (which was 731000barrel/day) was reduced at 2005(into 537500 barrel/day). You are asked the percentage reduction. To answer this, you need to determine how much the decrease in barrel/day then divide it by the initial production before reduced(production at 2004)
The reduction would be: 731,000 barrels/day - 537,500 barrels/day = 193,500 barrels/day
Then divide it with initial production: (193,500barrels/day )/(731,000 barrels/day) * 100% = 26.47%
