Imagine that we cut the cone in half with a vertical plane. In this plane we'd see points a, b and c. We need to find the measure of angle bca, and then double that angle, to obtain the answer to this problem.
Note that tan (angle bca) = opp / adj = 2 / 6, or 1/3, or 0.333...
Working backwards to find angle bca, we use the inverse tangent function:
arctan 0.3333.. = approx. 0.322 radians, or 18.435 degrees.
Doubling that gives us the measurement of the angle formed between the line segments: 2(18.435 deg) = 36.9 degrees, approximately.
Answer:
Sin theta =4/5
Step-by-step explanation:
Cos theta=base/HYPOTENUSE=3/5
Hence
From here we get
Base=3,HYPOTENUSE =5
By Pythagoras theorem
Hypotenuse ²=base²+perp²
5²=3²+perpendicular²
25=9+perp²
Perp²=25-9
Perp ²=16
Perp=4(taking sq root on both sides)
Now
Sin theta=perp/hyp=4/5
Answer:
Step-by-step explanation:
The answer is
72% of his earnings is $18x 72 / 100 = $12.96
Tyrone works 40 hours per week
in one month
he works 40*4=160 hours
so 1 hour is for $12.96 net
160 hours for x=?
x=$2073.6
his total monthly cash inflow is $2073.6 - $1,800=$273.6
Answer:
Positive direction (Up) 
Step-by-step explanation:
The given function is

The degree of this polynomial is even.
The leading coefficient is positive 3.
The polynomial will <em>rise </em>
on the left and <em>rise </em>
on the right.
Therefore the right side of the graph of
points in the positive direction of the y-axis.
Answer:
There was a 4.9% increase in gasoline prices.
Step-by-step explanation: