Answer: 7.2
Step-by-step explanation: the some of all angles should equal 180
A) 23/8 divide 23 by 8 to get 2 with remainder 7 therefore 2 7/8
work all by treating each fraction as a division problem and placing the remainder over the divisor
b) 14/3 = 4 2/3
c) 19/11 = 1 8/11
d) 8/7 = 1 1/7
e) 17/9 = 1 8/9
f) 27/8 = 3 3/8
g) 35/5 = 11 2/3
h) 9/4 = 2 1/4
Answer:
A
Step-by-step explanation:
the height a creates with half of the baseline (5) and a leg (10) a right-angled triangle, and we can use Pythagoras to calculate a.
c² = a² + b²
c being the Hypotenuse (the side opposite of the 90° angle, so in our case the 10 side).
10² = a² + 5²
100 = a² + 25
75 = a²
a = sqrt(75) = sqrt(3×25) = 5×sqrt(3)
Sec(theta) = 1 / cos (theta) = hypotenuse / x -coordinate
hypotenuse = 1 (because it is the radius of the unit circle)
sec (theta) = 1 / (-3/5) = - 5/3
cot (theta) = 1 / tan(theta) = x-coordinate / y - coordinate
cot (theta) = -3/5 / y
y^2 + (-3/5)^2 = 1 => y^2 = 1 - 9/25 = 16/25 = y = +/- 4/5
Third quadrant => y = -4/5
=> cot (theta) = (-3/5) / (-4/5) = 3/4
