The area of the part of the tablecloth that hangs over the table is 285 square inches
Step-by-step explanation:
In order to find the area of table cloth that hangs over the table, we have to find the area of table and the total area of table cloth.
Given
Area of table =
To find the side of the square
Taking Square root on both sides
When the table cloth is hanged, 3 inches are left to hang over this means that the side will now be: 46+3 = 49 inches
The area of table cloth =
The area of table cloth that will be hung over the table is:
Hence,
The area of the part of the tablecloth that hangs over the table is 285 square inches
Keywords: Square, side
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Answer:
a. yˆ=38,000+2500x
d. yˆ=38,000−1500x
Step-by-step explanation:
The least squares regression line for the population change of a small country has the following format:
In which a is the initial population and b is the number of habitants for which the population increases/decreases a year.
Let's see each case
a. yˆ=38,000+2500x
The population starts at 38000 and increases by 2500 a year. This is a feasible assumption.
b. yˆ=38,000−3500x
The population starts at 38000 and increases by 3500 a year. By the year 2015, the population will be negative. This is not a feasible assumption.
c. yˆ=−38,000+2500x
The population cannot start at a negative value. So this is not a feasible assumption.
d. yˆ=38,000−1500x
The population starts at 38000 and decreases by 1500 a year. This is a feasible assumption.
Because B is the midpoint of AC, point B divides AC into two equal segments:
AB = BC
Substitute all known values into the above equation:
x + 5 = 2x – 11
Add 11 to both sides of the equation:
x + 16 = 2x
Subtract "x" from both sides of the equation:
16 = x
We have proven that x = 16. Now we are asked to find the measure of AB. Simply substitute the known value of "x" into the equation for AB:
AB = 16 + 5
Simplify the right side of the equation:
AB = 21
The measure of segment AB is 21
I hope this helps!
Answer:
286,287,288
Step-by-step explanation:
(x)(x+1)(x+2)=23639616
x^3+3x^2+2x=23639616
After solving the equations, you should get the answers.