A circle is centered on point B. Points A, C and D lie on its circumference.
1 answer:
Answer:
m∠ADC = 20°
Step-by-step explanation:
A circle B has points B, C and D on the circumference.
m∠ABC = 40° [Cntral angle]
Since measure of the central angle is double of the inscribed angle by the arc
m∠ABC = 2(m∠ADC)
Here ∠ABC = Central angle
and ∠ADC = Inscribed angle
40° = 2(m∠ADC)
m∠ADC =
= 20°
Therefore, measure of angle ADC is 20°.
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Question:
A population of insects, in thousands, can be modeled using the function
, where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
Compare to
If , then
r represents growth rate
else, r represents decay rate
Since b < 0.97: