Which angles are congruent in the isosceles triangle?
1 answer:
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Answer:
3. A; 4. C; 5. D; 6. D
Step-by-step explanation:
3. By Pythagorean theorem, x^2=100-64=36, x=6
4. By Pythagorean theorem, x^2=81-36=25, x=5
5. Since the triangle is an isosceles, the other side is 4, so the hypotenuse is 4. (the ratio is 1:1:
by Pythagorean theorem)
6. Like Question #5, the ratio is 1:1: since it is an isosceles triangle, the leg is 8.
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: