Volume = area of base *height
20 = pir^2 *h
20 = 3,14*4*h
h = 20/12,56 = 1,59 rounded 1,6
- using the triangle formed by radius,the height of cup and the slant height of cup so we can writing that
tan ß = h/r so tan ß = 1,6/2 = 0,8
tan ß = 0,8 so ß = arctan 0,8 = 38,6 degrees so 39 degrees
hope helped
Answer:
f
^−1(x)=x/2−1/2
Step-by-step explanation:
As we already have the model that describes the change of the population in Italy in terms of the years that have elapsed, we only have to replace the conditions that are requested in that equation.
Therefore to find the population of Italy in the year 2000 (t = 10 years) substitute t = 10 in the equation and have:

million people
To find the population of Italy in 2008 (t = 18 years)
substitute t = 18 in the equation and have:

million people
To predict the population in Italy for 2015 and 2020 with this model, we substitute in the equation t = 25 and t = 30
t = 25
million people
t = 30
million people
Answer: The book costs $10 and the pen costs $4✔️
Step-by-step explanation:
Let B the cost of the book and let P the cost of the pen.
Then we know:
The book and the pen cost $14:
B + P = $14 } Equation 1
We also know:
The cost of the book is two dollars more than twice the cost of the pen.
B = 2P + $2 } Equation 2
Now we can substitute the value of B from the equation 2 in the equation 1:
2P + $2 + P = $14
3P = $14 - $2 = $12
P = $12/3 = $4 , cost of the pen
Since we know the value of B from the equation 2, we can calculate B:
B = 2P + $2 = 2x$4 + $2 = $8 + $2 = $10 , cost of the book
Answer: The book costs $10 and the pen costs $4✔️
<h3>Verify </h3>
We can substitute these values in equations 1 and 2 and check the results:
B + P = $14 } Equation 1
$10 + $4 = $14 ✔️check!
B = 2P + $2 } Equation 2
$10 = 2x$4 + $2 = $8 + $2 = $10 ✔️check!
<h2><em>Spymore</em></h2>
Answer:
slope = 3
point (2, 5)
b = y - m*x
b = 5 -3*2
b = -1
Then we enter the slope and the value of b into this equation:
y = mx + b
y = 3x -1
Source: https://www.1728.org/distance.htm
Step-by-step explanation: