Answer:
Step-by-step explanation:
So, according to the law of Sines, we have

In our case, we have S and R, so...

And we want to isolate R...

the angle of R is then 75.90 degrees.
Answer:

Step-by-step explanation:
x is the center of the circle.
the chord of length 12 can be splitted into two parts of 6 length each.
since the radius does not change when it touches another end of the circle, we can safely calculate our radius to be the hypotenuse of the triangle formed by the length of the chord and 3.
The explanation is given in the picture
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<u>Solution</u><u>:</u></h2>
We all know that,
- All animals have 2 eyes.
- All cows have 4 feet
- All hens have 2 feet
So, Let the no. of cows be x and chickens be y
According to question,
- Total number of eyes = 162
Framing equation,
⇛ Eyes of cows + Eyes of chickens = 162
⇛ 2x + 2y = 162
⇛ 2(x + y) = 162
⇛ x + y = 162/2 = 81 -----------(1)
According to question(Cond.-1)
- Total number of feet = 270
Framing equation,
⇛ Feet of cows + Feet of chickens = 270
⇛ 4x + 2y = 270
⇛ 2(2x + y) = 270
⇛ 2x + y = 135 ----------(2)
Subtracting eq.(1) from eq.(2),
⇛ 2x + y - (x + y) = 135 - 81
⇛ 2x + y - x - y = 54
⇛ x = 54
Putting value of x in eq.(1),
⇛ 54 + y = 81
⇛ y = 81 - 54
⇛ y = 27
⚘ So, Total number of animals,
- Number of cows = x = 54
- Number of chickens = y = 27
Hence, solved !
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