Without the roof panels, the surface area (except for the open panel) is 176.25 sq. ft.
With the roof panels, the surface area (except for the open panel) is 196.67 sq. ft.
The area of the rectangular sections (the sides without gables) is given by 10*6 = 60 sq. ft. There are two of these sides, for a total of 2*60 = 120 sq. ft.
The gables are triangles, which have an area formula of
A = 1/2bh
For the gables, this is 1/2(1.5)(7.5) = 5.625 sq. ft. Since there are two of them, this makes 2*5.625 = 11.25 sq. ft.
The closed side under a gable has an area of 6*7.5 = 45 sq. ft.
The two roof panels have an area of (4 1/12)(2 1/2) each:
49/12(5/2) = 245/24
There are two of them, which makes 490/24 = 20.42 sq. ft.
Without the roof panels, we have 45+11.25+120 = 176.25 sq. ft.
With the roof panels, we have 45+11.25+120+20.42 = 196.67 sq. ft.
Answer:
Item 5 is a valid definition because based on the vertical angle theorem vertical angles have equal measure. More precisely, they are congruent. When lines intersect they are only considered to be vertical if they make congruent angles.
Step-by-step explanation:
Firstly, to calculate a price you need to change the percentage into a decimal. You do this by dividing it by 100.
45 / 100 = 0.45,
The discount price will be 55% of the original price,
55 / 100 = 0.55,
19 * 0.55 = 10.45,
So the discound price will be $10.45
Hope this helps!
Assume the figure has three sides.
(a figure with three sides is always a triangle)
