9514 1404 393
Answer:
C) 14 cm
Step-by-step explanation:
A triangle solver can quickly show you the third side is 14 cm.
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The law of cosines can be used for this purpose. If the given sides are 'a' and 'b', and the third side is 'c', then that law tells you ...
c² = a² +b² -2ab·cos(C)
c² = 7² +11² -2·7·11·cos(100°) ≈ 196.74
c ≈ √196.74 ≈ 14.03
The length of the third side is about 14 cm.
Answer:
Step-by-step explanation:
The population of a city is 250,000 and the annual growth rate is 2.2%
General equation for exponential growth is
Where y is final population and P is the initial population
'r' is the rate of growth and x is the number of years
p = 25000 and r= 2.2%= 0.022. Replace all the values in the general equaiton
Answer:
D had 310 points.
The final ranking is: B,A,D,C
Step-by-step explanation:
The problems states that:
There are 115 votes.
Each ballot has a vote for first place, that counts 4 points, a vote for second place, that counts 3 points, a vote for third place, that counts 2 points and a vote for fourth place that counts 1 point. This means that each ballot has 4+3+2+1 = 10 points.
Since there are 115 voters, there are 115 ballots. This means that the total points of A,B,C and D combined must be equal to 115*10 = 1150. So:
We already know that:
A had 320 points, B had 330 points, and C had 190 points.
So:
B had the most points, followed by A, D and C. So the final ranking is: B,A,D,C