Answer:
Step-by-step explanation:
let
x = price of a sweatshirt
y = trice of sweatpants
three sweatshirts and two pairs of sweatpants for $85.50
3x + 2y = 85.50
three more sweatshirts and four more pairs of sweatpants for $123
3x + 4y = 123
by solving the system of equations
3x + 2y = 85.50
3x + 4y = 123
we find
x = $16
y = $18.75
Answer:-tan (50) -tan (0) - tan (50) tan (0)
Step-by-step explanation:
any expression divided by one stays the same; simplify the expression using the symmetry of trigonometric functions.
Answer:
8x?y
Step-by-step explanation:
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:
Property of Addition
Step-by-step explanation:
For all real numbers x, y, and z ,
if x = y, then x + z = y + z .
if a = 5, and 5 + z = 14, so a + z = 14
