Answer:
77.25 cm^2
Step-by-step explanation:
Area of a regular octagon :
2a^2(1 + (sqrt2))
where a is the side
substitute 4 in for 'a'
9514 1404 393
Answer:
(b) (-5, 1)
(c) (5, -7)
(d) (9, -2)
Step-by-step explanation:
The coordinate differences between the given points are ...
(4, 2) -(0, -3) = (4, 5)
The length of the line segment between the points is √(4² +5²) = √41, so this is the side of the square, not a diagonal.
The other four points that could be corners of the square are these same distances, but at right angles. To get points at right angles, the distance values can be swapped, and one of them negated.
Two of the points could be ...
(4, 2) ± (5, -4) = (9, -2) or (-1, 6)
and the other two could be ...
(0, -3) ± (5, -4) = (5, -7) or (-5, 1)
Answer:
See attachment
Step-by-step explanation:
The given matrix equation is:

To find Matrix X, we need to multiply both sides of the equation by 2 to obtain:

This simplifies to;

By scalar multiplication, we multiply each entry in the matrix A by to 2 to obtain matrix X.
Answer:
The population is the set of all the elements. And the sample is a subset of the population.
Step-by-step explanation:
The population is the set of all the elements. And the sample is a subset of the population.
The sample is used to make conclusions regarding the population.
A poll is conducted from the target population to determine the general opinions of the individuals of that population.
The basic method of polling is to select a few thousand individuals from the population and ask their opinions on a certain subject.
The poll will result usually in two values, the proportion of individual in favor and the proportion of individual not in favor.
Consider the example below.
The polling done to determine the favorability of the new brand of tea. The polling was done using a few hundred members of the tea drinking community of a country. The poll resulted as follows:
In favor = 72%
Not in favor = 28%
The population is the entire tea drinking community of a country.
In this case the sample consist of few 100 people of the tea drinking community of a country.
87/150=0.58
0.58*100=58
$87 is 58% of $150
Good luck!