25 students
194 balloons
194/25 = 7.76
Each student gets 7 balloons, 7 x 25 = 175 balloons will be used
194 - 175 = 19 balloons remaining (Answer to part 1 of this question)
If each student needs 8 balloons
8 * 25 = 200
200 - 194 = 6 ballons needed (Answer to part 2 of this question)
We also could have found the answer to part 2 by saying that we had 19 balloons left over when the students each were given 7 balloons
Each student needs another 1 balloon = 25 balloons,
We have 19 left over
25 - 19 = 6 balloons need to be purchased (we got the same answer both ways so it is very likely we have the correct answer)
The approximate length of side a is 9.12 in. The correct option is B. 9.12 in
<h3>Law of Sines </h3>
From the question, we are to determine the approximate length of side a
From the given information, we have that
m∠B = 114°, m∠C = 22°
Thus,
m∠A = 180° - (114° + 22°)
m∠A = 180° - 136°
m∠A = 44°
Now,
From the law of sines, we have that
a/sinA = b/sinB
Then,
a/sin44° = 12/sin114°
a = (12 ×sin44°)/sin114°
a = 9.12 in
Hence, the approximate length of side a is 9.12 in. The correct option is B. 9.12 in
Learn more on Law of Sines here: brainly.com/question/24138896
#SPJ1
Answer:
First three terms of given sequence are
9, 13, 17
Step-by-step explanation:
Answer:
∠ ABC = 116°
Step-by-step explanation:
Since the angles are supplementary, they sum to 180° , that is
8x - 36 + 4x - 12 = 180
12x - 48 = 180 ( add 48 to both sides )
12x = 228 ( divide both sides by 12 )
x = 19
Then
∠ ABC = 8x - 36 = 8(19) - 36 = 152 - 36 = 116°
Y=-12
explanation multiply x by -3 to get y
