Answer:
R = 20
Step-by-step explanation:
mean age = sum of ages/no. of men
sum of ages of the men that left = 55 + 63 = 188
remaining sum = 50R - 118
remaining no. of men = R - 2
now mean age = 50 - 1 = 49 years
49 = 50R-118/R-2
49(R - 2) = 50R - 118
49R - 50R = -188 - 98
-R = -20
R = 20
Answer:
X2 = 1.0792
Y2 = 2.0594
ΔX = 4.0792
ΔY = 3.0594
θ = 36.869897645844°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
OR
X2 = -7.0792
Y2 = -4.0594
ΔX = -4.0792
ΔY = -3.0594
θ = 216.86989764584°
Equation of the line:
y = 0.75x + 1.25
When x=0, y = 1.25
When y=0, x = -1.6666666666667
Answer: k = 76 degrees
Step-by-step explanation:
A linear pair of angles are always supplementary. (They sum to 180)
If the pair of angles are k and 104, they have to add up to equal 180.
180-104= 76
K has to equal 76 degrees
Answer:
Step-by-step explanation:
If we draw a right angle triangle ABC,
where B is the vertex with 90 degrees.
A is the top of the lighthouse
C is the waterline of the ship.
we can write the sidelengths of this triangle.
AB = 152
BC = 868.
to find the angle of depression, all we need to find is the angle BAC and subtract it from 90 degrees.
to find the angle BAC, we'll use trigonometric functions.
we don't have the hypotenuse of the triangle, and we won't be needing it either. we'll use tan
} = \dfrac{BC}{AB}[/tex]
} = \dfrac{868}{152}[/tex]
to find the angle of depression:
Answer:
Incorrect
Step-by-step explanation:
I just solved this one. You can't have a negative segment