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Answer:
<em>The PIN is 1147</em>
Step-by-step explanation:
<u>Prime numbers</u>
These are integer numbers that only divide exactly by themselves and by 1. To find the first possible prime number between 1,000 and 1,500, calculate the square root of 1,000.
Thus, the first prime to consider is 31. Write the consecutive primes from 31:
31 , 37 , 41 , 43
We can see the only two consecutive primes whose product lies in the given interval are 31 and 37. Thus, the PIN is 31*37=1147
Answer: Tan B = 0.2917 (16.26 degrees)
Sin B = 0.2800 (16.26 degrees)
Cos B = 0.9600 (16.26 degrees)
Step-by-step explanation: Please refer to the picture attached for details.
The right angled triangle LNB has been drawn with the sides labeled as 7, 24 and 25 as indicated. With angle B as the reference angle, we can now identify each side as follows;
Side 7 (opposite, facing the reference angle)
Side 24 (adjacent, between the reference angle and the right angle)
Side 25 (hypotenuse, facing the right angle).
Hence, using the trigonometric ratios,
Tan B = opposite/adjacent
Tan B = 7/24
Tan B = 0.2917 (16.26 degrees)
Sin B = opposite/hypotenuse
Sin B = 7/25
Sin B = 0.2800 (16.26 degrees)
Cos B = adjacent/hypotenuse
Cos B = 24/25
Cos B = 0.9600 (16.26 degrees)
