If you want to find cosP , since angles Z and P are 2 complementary angles then cosZ is the same as cosP so you say the cosP=sinZ=4/5 (property of 2 complement angles in a right triangle)
Answer:
pages
Step-by-step explanation:
From the table, we know that Blaine can read
pages in
minutes. Therefore, Blaine can read
pages per minute. Therefore, Blaine can read
pages in
minutes. Hope this helps!
Answer:
Rate of Decay = 8%
Step-by-step explanation:
The decay formula is:

Where F is the final value (here, it is given as "Y")
P is the initial value (here, given as 20,000)
r is the rate of decay (what we need to find)
t is the time (given as 2)
Comparing both the equations:

We see that:
1 - r =0.92
We solve for "r":
1 - 0.92 = r
0.08 = r
The rate of decay is 0.08, as a percentage, we need to multiply by 100, so we have:
0.08 * 100 = 8%
Rate of Decay = 8%
Answer:
Part A:




Part B:


and 
Step-by-step explanation:
Part A:
The inicial concentration of the lemonade is 50%, and the volume is 4 quarts, and we will add x quarts of a lemonade with a concentration of 100%, so the total volume will be y, and the concentration will be 0.7, so we have that:


Using the value of y from the first equation in the second one, we have:





Part B:
If he shoots a total of ten targets, we can write the equation:

Each stationary target is 2 points, and each moving target is 3 points, so if the total points is 23, we have:

If we subtract the second equation by two times the first one, we have:



⇒ 
Answer:
Range = 45
Median = 75
Step-by-step explanation:
Based on the attached box and whisker plot :
From the plot :
Maximum value = 95
Minimum value = 50
The median value can be obtained from the box and whisker plot. The median value from the plot is ; the green dotted point inside the box :
This point is marked 75.
Hence, median value = 75
Range = maximum - minimum
Range =. 95 - 50 = 45