Complete question:
Kyle incorrectly says that the product of - ( - 6 ) # ( - 1 ) is 6 . 11. After a recycling awareness program, the number of tons of recyclable material taken to the landfill is reduced by 13 7/10 tons per month. Represent the total change in the tons of recyclable material taken to the landfill after 7 months resulting from the awareness program a. What is the correct product? 10 month. Represent the total change in the b. What was Kyle's likely error?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Kyle incorrectly says that the product of - ( - 6 ) ( - 1 ) is 6
-(-6)(-1) = 6 [incorrect]
Correction:
-(-6) (-1) :
- (-6) = 6
6 (-1) = - 6
Given that reduction in materials = 13 7/10 tons per month
Monthly reduction = 13 7/10 = 137/10 tons
After 7 months : (7 * 137/10) = 959/10 tons = 95.9 tons
Change in amount of material taken to the land fill:
Initial amount - amount after 7 months
If initial amount = x
Change in amonnt = (x - 95.9) tons
Total number of students who did a test was 24
Number of students who scored an A is 14
Number of students who scored a B is 10
Probability that when we randomly select a student, he/she will have an A is:
(Number of students that scored A)/(Total number of students)
=14/24
=7/12
Therefore our answer is 7/12
First, we are going to find the distance traveled by the ship adding the tow distances:
Distance traveled= 24 mi +33 mi=57 mi
Next, we are going to use the Pythagorean theorem to find the distance from

to

:


d^2=1665


mi
Finally, we are going to subtract the two distances:
57 mi -40.8 mi= 16.2 mi
We can conclude that <span>if the ship could have traveled in a straight lime from point a to point c, it could have saved
16.2 miles.</span>
Answer:
Part 4) 
Part 10) The angle of elevation is 
Part 11) The angle of depression is 
Part 12)
or 
Part 13)
or 
Step-by-step explanation:
Part 4) we have that

The angle theta lies in Quadrant II
so
The sine of angle theta is positive
Remember that

substitute the given value




Part 10)
Let
----> angle of elevation
we know that
----> opposite side angle theta divided by adjacent side angle theta

Part 11)
Let
----> angle of depression
we know that
----> opposite side angle theta divided by hypotenuse


Part 12) What is the exact value of arcsin(0.5)?
Remember that

therefore
-----> has two solutions
----> I Quadrant
or
----> II Quadrant
Part 13) What is the exact value of 
The sine is negative
so
The angle lies in Quadrant III or Quadrant IV
Remember that

therefore
----> has two solutions
----> IV Quadrant
or
----> III Quadrant
177 + s < = 0.20(1000)....where s = weight of the camping supplies
177 + s < = 200
s < = 200 - 177
s < = 23 <== so, at most, his camping supplies can weigh 23 lbs