Answer:
9= 71.67°
10= 60.65°
11= 86.59°
12= 62.30°
13= 34.51°
14= 51.71°
15= 22.87°
16= 44.63°
Step-by-step explanation:
The law of sine requires that if we have three sides of length A, B and C with their respective angles as a, b and c then these can be related by
9.
Making x the subject of the formula then
10.
Making x the subject of the formula then
11.
Making x the subject of the formula then
12.
Making x the subject of the formula then
13.
Making x the subject of the formula then
14.
Making x the subject of the formula then
15.
Making x the subject of the formula then
16.
Making x the subject of the formula then
Answer:
8 pounds
Step-by-step explanation:
- Ratio of C:N = 30:1
- C - carbon content, N - nitrogen content
<h3>Given</h3>
- Coffee grounds = 1 pound <u>contains </u>25% C and 1% N
- Rotten vegetables = 6 pounds <u>contains</u> 10% C and 1% N
- Dry leaves = ? pound <u>contains</u> 30% C and 0.5% N
<h3>Solution</h3>
<u>Coffee grounds and Rotten vegetables together give:</u>
- 1 + 6 = 7 pounds
- C = 1*0.25 + 6*0.1 = 0.25 + 0.6 = 0.85
- N = 1*0.01 + 6*0.01 = 0.01 + 0.06 = 0.07
<u>Add dry leaves of x pounds:</u>
- Total = 7 + x
- C = 0.85 + 0.3x
- N = 0.07 + 0.05x
<u>Finding required weight of dry leaves:</u>
- (0.85 + 0.3x)/(0.07+0.005x) = 30/1
- 0.85 + 0.3x = 30(0.07 + 0.005x)
- 0.85 + 0.3x = 2.1 + 0.15x
- 0.3x - 0.15x = 2.1 - 0.85
- 0.15x = 1. 25
- x = 1.25/0.15
- x = 8.33 pounds = 8 pounds rounded to nearest pound
About 400 zebras live at the game reserve.
The proportion would be
30/150 = 80/x
This is because 30 zebras are tagged out of 150 in one area. We know that they tagged 80 total zebras out of x total zebras.
To solve this, cross multiply:
x*30 = 150*80
30x = 12000
Divide both sides by 30:
30x/30 = 12000/30
x = 400
<em>The point where a function (for our problem its the cubic function shown)</em>
<u>and/or</u>
<em>is a zero of the function.</em>
From the graph shown, we can clearly see that it cuts the x-axis at -1 and touches the x-axis at 2.
So the zeros are at -1 and 2.
ANSWER: {-1,2}