Joanne and Betty have a combined age of 60 years. If Joanne is 18 years old, how old is Betty?
2 answers:
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Answer:
B) less than 14 centimeters
Step-by-step explanation:
Given:
Length of 1 segment of triangle = 6 cm
Length of the 2 segment of the triangle = 8 cm
Angle between those 2 segments = 80°
We need to find the length of the 3 segment of the triangle.
Solution:
Now we know that;
By Triangle Inequality theorem which states that;
"The sum of the two side of the triangle must be greater than the third side of the triangle."
i.e The length of the third side should be lest than the sum of the other two sides.
Length of the third side
Length of the third side
Hence The length of the third side should be less than 14 cm.
Parametrization of the first segment:
x=t+1, y=4t, z=1 wherein t is on the segment [0,1].
Second segment:
x=2, y=2t+4, z=2t+1 and again t is in [0,1].
Compute the derivatives like this:
First segment: dx=1dt, dy=4dt, dz=0
Second segment:dx=0, dy=2dt, dz=2dt.
Using the above variables, the given integral becomes like this:
The above integral is classical, and simple computation we obtain:
x=t+1, y=4t, z=1 wherein t is on the segment [0,1].
Second segment:
x=2, y=2t+4, z=2t+1 and again t is in [0,1].
Compute the derivatives like this:
First segment: dx=1dt, dy=4dt, dz=0
Second segment:dx=0, dy=2dt, dz=2dt.
Using the above variables, the given integral becomes like this:
The above integral is classical, and simple computation we obtain: