Please help me i don't know how to do this no more
1 answer:
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Answer:
AC = 12.38 cm
Step-by-step explanation:
When there are 2 pairs given, we can use the sine rule to solve the problem.
By pairs we mean "an angle and side opposite to it"
<em>1 pair is 85.2 degree angle and 13 cm, and another pair is 71.6 degree angle and the side AC (which we want to figure out).</em>
<em />
Sine Rule is given by
where,
A and B are the two respective angles and a and b are the two respective sides (of the pairs). Plugging all the info and using algebra, we have:
Thus, AC = 12.38 cm
The two-way table is attached.
We start out placing 31 in the Total column beside the Don't Play Baseball row. We then place 16 in the Total row under the Play Football column. 20 goes in the Don't Play Baseball row under the Don't Play Football column.
Since there are 31 people that do not play baseball, and 20 of them don't play football, this leaves us with 31-20=11 that do not play baseball and play football.
There are 58 people total, so this goes in the Total row under the Total column.
There are 58 people, and 31 of them do not play baseball; this leaves us 58-31=27 total that play baseball.
16 total people play football, and 11 of them don't play baseball. This leaves us 16-11=5 people that play football and play baseball.
There are 58 people, and 16 of them play football; this leaves us 58-16=42 total that don't play football.
42 people don't play football, and 20 of them don't play baseball; this leaves us 42-20=22 people that don't play football and play baseball.
5 people play baseball and play football, and 22 people play baseball and don't play football; this gives us 5+22=27 people total that play baseball.
We start out placing 31 in the Total column beside the Don't Play Baseball row. We then place 16 in the Total row under the Play Football column. 20 goes in the Don't Play Baseball row under the Don't Play Football column.
Since there are 31 people that do not play baseball, and 20 of them don't play football, this leaves us with 31-20=11 that do not play baseball and play football.
There are 58 people total, so this goes in the Total row under the Total column.
There are 58 people, and 31 of them do not play baseball; this leaves us 58-31=27 total that play baseball.
16 total people play football, and 11 of them don't play baseball. This leaves us 16-11=5 people that play football and play baseball.
There are 58 people, and 16 of them play football; this leaves us 58-16=42 total that don't play football.
42 people don't play football, and 20 of them don't play baseball; this leaves us 42-20=22 people that don't play football and play baseball.
5 people play baseball and play football, and 22 people play baseball and don't play football; this gives us 5+22=27 people total that play baseball.