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The length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.
<h3>How to determine the parameters</h3>To determine the angles and length of sides, we use the sine rule
The sine rule is thus:
Given;
- a = 2. 5cm
- c = 3. 6cm
- ∠A = 43°
Let's find angle C
cross multiply
0. 682 × 3. 6 = sin C × 2. 5
sin C = 2. 4552/ 2. 5
C =
C = 79°
To find length of b
substitute the values
b = 2. 59 cm
b = 3cm
To find angle B, we have
cross multiply
0. 682 × 2. 59= sin B × 2. 5
sin B = 0. 7065
B = 45°
Hence, the length of b and angle B and C are 3cm, 45 degrees and 79 degrees respectively.
Learn more about sine rule here:
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Answer: 35
Step-by-step explanation:
Given : A bag contains four red marbles, two green ones, one lavender one, three yellows, and one orange marble.
Total = 4+2+1+3+1=11
To find sets of four marbles include none of the red ones, we need to exclude red marbles when we count the total number of marbles.
Then, the total marbles(exclude red) =11-4=7
Now, the combination of 7 marbles taking 4 at a time is given by :-
Hence, the number of sets of four marbles include none of the red ones = 35