Answer:
Option A. <A and <B are complementary angles
Option D. 
Step-by-step explanation:
we know that
If ABC is a right triangle
then
------> by complementary angles
and


Remember that

so


C. $122.10. You take 20, then take 10 percent of that to find the second hour's earnings (which is $22), then you take 10% of that number to find the next hour's earnings, and so on and so on until you reach the 5th hour. When you add all the values up, you get $122.10.
Approximately 1718 have a score within that range.
We calculate the z-score for each end of this spectrum:
z = (X-μ)/σ = (2.5-3.1)/0.3 = -0.6/0.3 = -2
Using a z-table (http://www.z-table.com) we see that the area to the left of, less than, this z-score is 0.0228.
For the upper end:
z = (3.7-3.1)/0.3 = 0.6/0.3 = 2
Using a z-table, we see that the area to the left of, less than, this z-score is 0.9772.
The probability between these is given by subtracting these:
0.9772 - 0.0228 = 0.9544.
This means the proportion of people that should fall between these is 0.9544:
0.9544*1800 = 1717.92 ≈ 1718
Answer is: 77575744.84403361
Answer:
1224 cm^3
Step-by-step explanation:
The shape of the box is a rectangular prism.
The volume of a rectangular prism is given by the formula below.
volume = length * width * height
volume = 10.2 cm * 15 cm * 8 cm
volume = 1224 cm^3