Answer:
Correct option: (3) 45
Step-by-step explanation:
Let's call the length of the tangent 'T', the length of the external segment 'E' and the length of the internal segment 'A'.
If we have a secant and a tangent to a circle, we can use the following property:
T^2 = E * (A + E)
If the tangent is 14 inches and the external segment is 4 inches, we have that:
14^2 = 4 * (A + 4)
196 = 4A + 16
4A = 180
A = 45
Correct option: (3)
We can use a trig function to find the measure of angle T.
tan(T) = 18/13
Take the archtangent on both sides since we are searching for an angle.
arctan(tan T) = arctan(18/13)
T = 54.16°
The measure of angle T is 54.16°.
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Initial population size is when t = 0</u>
- P(0) = 400(1.22)⁰ = 400(1) = 400
<u>The multiple of 1.22 is applied every year, so the ratio of change is:</u>
This is an exponential growth which represents 22% annual growth.
Answer:
The mean is 254.5
Step-by-step explanation:
Add up all the numbers then divide by how many numbers there are.
Answer:
14π cm
Step-by-step explanation:
arc length = rΘ
arc length= 63(2π/9)
arc length= 14π cm
Hope this helps!
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