We have a bunch of rectangles making up the lateral sides of this figure. They have side length 12 and height 13.
So the area of one rectangle is 12 x 13 = 156.
We have 6 of these rectangles, so our lateral area is 6(156) = 936.
The total surface area requires that we include the area of the base. To find the area of a regular polygon we take half of the product of the apothem and perimeter.
A = (1/2)*a*p
The apothem is given to be 10.39,
and the perimeter is fairly easy to calculate:
With the side length being 12, the perimeter is then 6(12) = 72.
So then the area of our base is (1/2)*10.39*72 = 374.04
So then the total surface area is the (base area) + (lateral area),
374.04 + 936 = 1310.04
Answer:
A. 5
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - -5 / 3 -1 = 10/2 = 5
The measure of the intercepted arc (a) is twice the measure of the inscribed angle intercepting it (b or 25°). The measures of the inscribed angles are all the same: b = 25°.
The appropriate choice is D. 25
Answer:
21.0
Step-by-step explanation:
SOHCAHTOA
In this case you would be using TOA
tan (x) = opposite/ adjacent
tan (51) = x / 17
x = 17 tan (51)
x = 20.9932
x= 21.0
I am not sure if you gave all of the information but if you did A because A > B. Did I miss something?