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MatroZZZ [7]
3 years ago
9

Six groups sell a 162 balloons at the carnival. There are 3 students in each group. If each student sells the same number of bal

loons, how many balloons does each student sell
Mathematics
1 answer:
____ [38]3 years ago
3 0

Answer:each student will sell 9 balloons.

Step-by-step explanation:

The total number of balloons sold by the six groups at the carnival is 162. There are 3 students in each group. This means that the total number of students in the six groups would be 6 × 3 = 18 students.

If each student sells the same number of balloons, then it means that the number of balloons that each student sells will be

162/18 = 9

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In triangle $DEF,$ $\angle D = 30^\circ,$ $\angle F = 60^\circ,$ and $EF = 6.$ Find $DE + DF.$ [asy] unitsize(2 cm); pair D, E,
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Answer:

The answer is below

Step-by-step explanation:

In triangle DEF, ∠D = 30°, ∠F = 60° and EF = 6. Find DE + DF.

Solution:

A triangle is a polygon with three sides. There are different types of triangles such as isosceles triangle, scalene triangle equilateral triangle, right angled triangle.

In triangle DEF:

∠D + ∠E + ∠F = 180° (sum of angles in a triangle)

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∠E = 180 - 90

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This is a right angled triangle since one angle = 90° (∠E).

Using sine rule:

\frac{|EF|}{sin(D)}=\frac{|DE|}{sin(F)}  \\\\\frac{6}{sin(30)}=\frac{|DE|}{sin(60)}  \\\\|DE|=10.39\\\\\frac{|EF|}{sin(D)}=\frac{|DF|}{sin(E)}  \\\\\frac{6}{sin(30)}=\frac{|DF|}{sin(90)}  \\\\|DF|=12\\\\

Hence DE + DF = 12 + 10.39 = 22.39

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