The missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
<h3>What is a Triangle ?</h3>
Triangle is a polygon with three sides , three angles and three vertices.
Given is triangle ABC , with sides a = 8, c = 11, and m∠C=33 degree
The missing angle and side is given by Cosine rule of triangle
c² = a² + b² - 2ab cosC
11² = 8² + b² - 2* 8 * b * cos 33
57 = b² -13.42 b
b² -13.42b -57 = 0
b = 16.8
By sine rule
a / sin A = b/sin B = c/sinC
8 / sin A = 11 / sin 33
A = 23.33 degree
Similarly
B = 123.7 degree
Therefore the missing side and angles are 16.8 , 23.33 degree and 123.7 degree respectively.
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Answer:
1/13
Step-by-step explanation:
There are 4 nines in a deck so the probability is 4/52 = 1/13
Answer:
1.68
Step-by-step explanation:
14.88/8=1.68
Answer:
The Gold team has 8 swimmers and the silver team also has 8 swimmers.
Step-by-step explanation:
Let T be the total number of swimmers on the Gold team. Since, the Gold team has a 2:3 ratio of 11 year olds to 12 year olds, the number of 11 year old is T' = 2/(2 + 3) × T = 2T/5 and the number of 12 year olds is T" = 3/(2 + 3) × T = 3T/5.
The silver team has a 3:8 ratio of 11 year olds to the total swimmers. Let T₁ be the number of 11 year old swimmers in the silver team. So, from the ratio 3:8, the number of 11 year old swimmers in the silver team is 3 and the total number of swimmers in the silver team is 8.
Since the number of 11 year old swimmers in both teams are the same, then
2T/5 = 3
T = 3 × 5 ÷ 2
T = 15/2
T = 7.5
T≅ 8
So, the Gold team also has 8 swimmers.
So, the Gold team has 8 swimmers and the silver team also has 8 swimmers.
