Answer:
sec(theta°)cos(theta°) = 1
Step-by-step explanation:
given data
(theta°) = 225
to find out
sec(theta°)cos(theta°)
solution
as we know that given equation
(theta°) = 225
cos(theta°) will be
cos(225°) = -0.7071 .................................1
so we know
sec(theta°) = 
..............2
so put here value of cos(theta°)
sec(theta°) = 
sec(theta°) = - 1.4142
so
sec(theta°)cos(theta°) = -0.7071 × ( - 1.4142 )
sec(theta°)cos(theta°) = 1
so answer is sec(theta°)cos(theta°) = 1
Answer:
Kia has ten times more money than Elena. Kia has more money that Elena.
Troy has one-tenth of the money Elena has. Troy has less money than Elena.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°
Answer:
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
Step-by-step explanation:
According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)
So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12
So, the option C is correct
The rest of the options are wrong
Answer: x= 3
Step-by-step explanation:
2x + 5 = 11
2x = 6
x = 3
