find exact value using reference angles
cot -53pi/6
Answer:
cot(-53π/6) = cot(7π/6) = √(3)
Step-by-step explanation:
Remember that a trig function repeats itself every 2π, so you can add any multiple of 2π to your angle and it'll give you the same answer.
cot(-53π/6) = cot(-53π/6 + 2πk)
= cot(-53π/6 + 2π·5)
= cot(-53π/6 + 10π)
= cot(7π/6)
= [-√(3)/2] / [-1/2]
= √(3)
To convert the ratio 9 yards to 48 feet into a fraction in simplest form, we need to first convert 9 yards into feet, which is 27 feet. Then, we express this ratio as a fraction, 27/48. To simplify this fraction, we divide both numerator and denominator by their GCD, which is 3, resulting in 9/16.
The student has asked to express the ratio 9 yards to 48 feet as a fraction in simplest form. Given that 1 yard equals 3 feet, we first need to convert 9 yards to feet. So, 9 yards * 3 feet/1 yard = 27 feet.
Now, let's express 27 feet to 48 feet as a fraction. The ratio is 27:48, and we can write this as the fraction 27/48. However, this is not the simplest form. We simplify a fraction by dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD). The GCD of 27 and 48 is 3. Therefore, we divide 27 and 48 by 3 to get 9/16. So, the fraction in simplest form is 9/16.
#SPJ2
Answer:
y = 7
Step-by-step explanation:
0.3y+0.6 = 9.7 - y
0.3y+y = 9.7 -0.6
1.3y = 9.1
y= 7
sorry it had an error