Ok, the formula to find the area of a regular polygon is...
A = 1/2 nsr
In this equation...
n = number of sides
s= side length
r = apothem (radius of the inscribed circle)
To find the area, we must first find the apothem. The apothem is the radius of the inscribed circle (draw a line from the center of the figure to the center of one of the sides). If you draw the apothem in to the figure, it creates a right triangle with a hypotenuse of 13.07 in and one side length of 5 in (1/2 of the figure's side length). Now we can find the apothem with the formula
a^2 + b^2 = c^2
a^2 = c^2 - b^2
a^2 = 13.07^2 - 5^2
a^2 = 170.8249 - 25
a^2 = 145.8249
a = 12.076
Now we have the value for the apothem and we can plug it into the area formula...
A = 1/2 nsr
(recall that n = number of sides; s= side length; r= apothem)
A = 1/2(8×10×12.076)
A = 40×12.076
A= 483.04 in^2
Rounded to the nearest tenth would be...
483.0 in^2
Answer:
-3h+4k+2
Step-by-step explanation:
We must subtract 2k from 6k to combine the like terms.
-3h+6k+2-2k
-2k -2k
-3h+4k+2
Since no other numbers can be combined this is our final answer.
Hope this helps! :)
Answer:
temperature on the 5th days was -3 degree Celsius
Step-by-step explanation:
Mean is the average of the numbers
As per the statement:
The mean temperature for the first 4 days in January was 7°C.
Sum of the first 4 days temperature =
It is also given that:
the mean temperature for the first 5 days in January was 5°C.
then;
Sum of the first 5 days temperature =
We have to find the temperature on the 5th days.
Substitute the given values we have;
Therefore, the temperature on the 5th days was -3 degree Celsius
Answer:
A.2
Step-by-step explanation:
We know that |x|² = 13 and x = 3+bi:
(3+bi)² = 13
3² + b² = 13
9 + b² = 13
Subtract 9 from each side:
9 + b² - 9 = 13 - 9
b² = 4
Take the square root of each side:
√b² = √4
b = 2
Step-by-step explanation:
Slope is equal to the change in yy over the change in xx, or rise over run.
m=change in ychange in xm=change in ychange in x
The change in xx is equal to the difference in x-coordinates (also called run), and the change in yy is equal to the difference in y-coordinates (also called rise).
m=y2−y1x2−x1m=y2-y1x2-x1
Substitute in the values of xx and yy into the equation to find the slope.
m=12−(8)5−(4)m=12-(8)5-(4)
Simplify.
after that you should get m=4 as the answer