Answer:
no solutions
Step-by-step explanation:
We want to find 
such that 
.
We can take the sine of both sides of the equation to get
.
We know that the range of the sine function goes from -1 to 1 inclusive, so there is no value such that 
.
Therefore, the answer is 
and we're done!
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r = 
r = 16 units
Which sampling method divides the population up into sections, randomly selects some of those sections, then chooses all the members from the selected sections to study?
Answer: The above mentioned type of sampling is called cluster sampling.
Cluster sampling is a sampling technique in which the entire population of interest is divided into clusters or groups, then the investigator randomly selects some of these clusters and all the members of these randomly selected clusters are investigated.
Volume of pyramid:
A - base area
H - height
First count volume of one pyramid:
![V=\dfrac{1}{3} \cdot 3 \cdot 4=4 [\hbox{inch}^3]](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%20%5Ccdot%203%20%5Ccdot%204%3D4%20%5B%5Chbox%7Binch%7D%5E3%5D)
So by using 576 inch^3 you can make 576 : 4 =
144 pyramids
The amount of money the person would have in 8 years s $2541.74.
<h3>How much would the person have in 8 years? </h3>
The formula for calculating future value is:
FV = P (1 + r)^nm]
Where:
FV = Future value
- P = Present value = $2000
- R = interest rate = 3% / 12 = 0.25%
- m = number of compounding = 12
- N = number of years = 8 years
Value of the account in 8 years with monthly compounding = $2000(1.0025)^(12 x 8) = $2541.74
To learn more about future value, please check: brainly.com/question/18760477
