11: B
12: C
They are both supplementary angles meaning they add to 180 degrees
Answer:
D
Step-by-step explanation:
Exponential equation takes the form
where
- a is the initial value ( a ≠ 0), and
- b is the base ( b ≠ 1)
The equation given in the problem can be written as
, so it is <em>an exponential equation, </em> where a = -4.8 and b = 4.
Thus we can say that the initial value = -4.8 and the base is 4
The correct answer is D
The closer Diana gets to the building, the smaller the angle becomes
Diana is 17.6 feet closer to the building
<h3>How to calculate the distance from the building</h3>
To calculate the distance between her and the building, we make use of the following tangent ratio

Where:

- h represents the height of the building; h = 130
- d represents the distance from the building
So, we have:

Make d the subject

Evaluate tan(40)


Initially, Diana is at a distance of 172.53.
The difference in both distance is:


Hence, Diana is 17.6 feet closer to the building
Read more about trigonometry ratios at:
brainly.com/question/4326804
Answer:
$17,277.07
Step-by-step explanation:
Present value of annuity is the present worth of cash flow that is to be received in the future, if future value is known, rate of interest is r and time is n then PV of annuity is
PV of annuity = ![\frac{P[1-(1+r)^{-n}]}{r}](https://tex.z-dn.net/?f=%5Cfrac%7BP%5B1-%281%2Br%29%5E%7B-n%7D%5D%7D%7Br%7D)
= ![\frac{3000[1-(1+0.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281%2B0.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-(1.10)^{-9}]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-%281.10%29%5E%7B-9%7D%5D%7D%7B0.10%7D)
= ![\frac{3000[1-0.4240976184]}{0.10}](https://tex.z-dn.net/?f=%5Cfrac%7B3000%5B1-0.4240976184%5D%7D%7B0.10%7D)
= 
= 
= 17,277.071448 ≈ $17,277.07
Answer:
ans:
- option B
- option A
- option B
- option A
Step-by-step explanation:
for two triangle to be congruent corresponding sides and angle must be equal