Answer:
D: (1,5) Apex
Step-by-step explanation:
The tangent AD at point C forms a right angle to circle B, such as ∠ACB=90° and ∠ABC=55°.
We also know that the summation of all angles in a triangle is 180°. Thus we have the expression below:
180°=∠ABC + ∠ACB + ∠BAD
180°=55°+90°+∠BAD
∠BAD=35°
Therefore, the answer is 35°.
Answer:
See explanation
Step-by-step explanation:
Powers of 10 is a very useful way of writing down large or small numbers.
Instead of having lots of zeros, you show how many powers of 10 will make that many zeros.
When you work with small numbers, you should use the negative powers of 10. Just remember for negative powers of 10, move the decimal point to the left. For example,
![0.36=3.6\cdot 10^{-1}\ [\text{Move the decimal point one place to the left}]\\ \\0.036=3.6\times 10^{-2}\ [\text{Move the decimal point two places to the left}]\\ \\0.0036=3.6\times 10^{-3}\ [\text{Move the decimal point three places to the left}]\\ \\...](https://tex.z-dn.net/?f=0.36%3D3.6%5Ccdot%2010%5E%7B-1%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20one%20place%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.036%3D3.6%5Ctimes%2010%5E%7B-2%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20two%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C0.0036%3D3.6%5Ctimes%2010%5E%7B-3%7D%5C%20%5B%5Ctext%7BMove%20the%20decimal%20point%20three%20places%20to%20the%20left%7D%5D%5C%5C%20%5C%5C...)
When comparing small numbers, write these numbers in scientific notation (only one non-xero digit must be before point) and then
- if the powers of 10 are the same in compared numbers are the same, just compare the numbers which are multiplied by these powers of 10. For example,
because powers are the same (-6) and 
- if the powers are different, then the smaller is power, the smaller is number (number with the smaller negative power has more places after decimal point). For example,
because 
Answer and Step-by-step explanation: The graph is shown in the attachment.
a. ΔR on [1,2] is mathematically expressed as:
ΔR = R(2) - R(1)
which means difference of population of rabbits after 2 months and after 1 month.


R(2) = 


![\Delta R = 100[\frac{4}{5} - \frac{2}{5} ]](https://tex.z-dn.net/?f=%5CDelta%20R%20%3D%20100%5B%5Cfrac%7B4%7D%7B5%7D%20-%20%5Cfrac%7B2%7D%7B5%7D%20%5D)
40
Difference of rabbits between first and second months is 40.
b. R(0) = 100(
)
R(0) = 0
Initially, there no rabbits in the population.
c. R(10) = 
R(10) = 400
In 10 months, there will be 400 rabbits.
d. R(t) = 500



t = 12.5
In 12 and half months, population of rabbits will be 500.
To find the rate<span> of change, find the total change in price and then divide it by number of years over which it changed. So the answer is </span><span>$0.603</span><span> which is </span><span>$0.20 per pound per year</span><span>.</span>