The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.
Answer:
m∠VST = 105°
Step-by-step explanation:
Two central angles are marked as having the same measure. The measure of the corresponding arcs are the same. The sum of all arc measures is 360°.
(-37x +2) +2(-27x -3) = 360
-91x -4 = 360
-91x = 364
x = -4
m∠VST = (-27(-4) -3) = 105 . . . . degrees
Answer:
8.8 hours
Step-by-step explanation:
Happy paws cost equation
5.50h + 20
Wood watchers cost equation
6.75h + 9
Make the two equations equal
5.50h+20 = 6.75h+ 9
Collect the co-efficient of both sides.
6.75h- 5.50h= 20-9
1.25h= 11
Divide both sides by the coefficient of h
1.25h/1.25= 11/1.25
h= 8.8
Rewrite the limand as
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = (1 - sin(<em>x</em>)) / (cos²(<em>x</em>) / sin²(<em>x</em>))
… = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / cos²(<em>x</em>)
Recall the Pythagorean identity,
sin²(<em>x</em>) + cos²(<em>x</em>) = 1
Then
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = ((1 - sin(<em>x</em>)) sin²(<em>x</em>)) / (1 - sin²(<em>x</em>))
Factorize the denominator; it's a difference of squares, so
1 - sin²(<em>x</em>) = (1 - sin(<em>x</em>)) (1 + sin(<em>x</em>))
Cancel the common factor of 1 - sin(<em>x</em>) in the numerator and denominator:
(1 - sin(<em>x</em>)) / cot²(<em>x</em>) = sin²(<em>x</em>) / (1 + sin(<em>x</em>))
Now the limand is continuous at <em>x</em> = <em>π</em>/2, so

Answer: 0.49668352
Step-by-step explanation:
Given : The unemployment rate : p = 20%= 0.20
Sample size : n =8
Let x be the binomial variable that represents the number of unemployed residents.
Binomial probability distribution formula : 
The probability that at least two of the residents were unemployed :





Hence, Required probability =0.49668352