Answer:
the largest angle of the field is 149⁰
Step-by-step explanation:
Given;
perimeter of the triangular filed, P = 120 m
length of two known sides, a and b = 21 m and 40 m respectively
The length of the third side is calculated as follows;
a + b + c = P
21 m + 40 m + c = 120 m
61 m + c = 120 m
c = 120 m - 61 m
c = 59 m
B
↓ ↓
↓ ↓
↓ ↓
A → → → → → → → → → → → C
Consider ABC as the triangular field;
Angle A is calculated by applying cosine rule;
Angle B is calculated as follows;
Angle C is calculated as follows;
Therefore, the largest angle of the field is 149⁰.
Answer:
i think its 0.0225
Step-by-step explanation:
Answer:
x = 34
Step-by-step explanation:
Just add 14 on both sides of the equal sign to get x = 34.
Hope this helps :)
Answer: 1
Scotland
Step-by-step explanation:
In the first vote, points are:
France = 15
England = 12 + 16 = 28
Ireland = 19
2nd vote
England = 15
Scotland = 12 + 19 = 31
Ireland = 16
3rd vote
Scotland = 15 + 16 = 31
Ireland = 12
England = 19
4th vote
Ireland = 15
France = 12 + 16 + 19 = 47
At the end of everything
England = 19 + 15 + 28 = 62
France = 15 + 47 = 62
Scotland = 31 + 31 = 62
Ireland = 19 + 16 + 12 + 15 = 62
To find the Condorcet winner, the number of votes for runner over opponent (runner,opponent) is compared with the number of votes for opponent over runner (opponent,runner)
Only Scotland has the highest (31) points twice.
2x+y = -5. Solve this for y. We get y = -2x - 5. Find y^2: 4x^2 + 20x + 25. Substitute 4x^2 + 20x + 25 for y^2 in the first equation:
x^2 + 4x^2 + 20x + 25 = 25
Then 5x^2 + 20x = 0, so that x = 0. Subst. 0 for x in the 2nd eqn and find the value of y. Write your solutions as shown above: ( , ) and ( , ).
