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2 answers:
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Answer:
Approximately 11 feet.
Step-by-step explanation:
Let the length of the third side of the triangle be represented by x. Applying Cosine rule, we have:
=
+
- 2abCos C
⇒ =
+
- 2(8 x 12) Cos
= 64 + 144 - 192 x 0.42262
= 208 - 81.143
= 126.857
x =
= 11.2631
x ≅ 11
The length of the third side of the triangle is approximately 11 feet.
Answer:
The fraction of the students play soccer =
Step-by-step explanation:
Given - In the town of Destin, 2/3 of the students in middle school participate in organized sports after school.
To find - If 3/5 of them play soccer, what fraction of the students play soccer? Enter your answer in simplest form
Solution -
Let us assume that,
Total number of students in the middle school = 3x
Now,
Given that
2/3 of the students in middle school participate in organized sports after school.
So,
Total students participated in organized sports = (2/3)×3x
= 2x
⇒Total students participated in organized sports = 2x
Now,
Given that,
3/5 of them play soccer
So,
Total players who play soccer = (3/5)×2x
= 6x/5
⇒Total players who play soccer = 6x/5
Now,
The fraction of total students play soccer = (6x/5) ÷ (3x)
=
=
∴ we get
The fraction of the students play soccer =