Answer:
62.4 ft²
Step-by-step explanation:
The unmarked horizontal dimension at the bottom of the triangle is ...
(8 ft)sin(30°) = 4 ft
The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...
(8 ft)cos(30°) ≈ 6.93 ft
Then the area of the trapezoid is given by the formula ...
A = (1/2)(b1 +b2)h
A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²
_____
The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.
Sin = Opposite/Hypotenuse ⇒ Hypotenuse×Sin = Opposite
Cos = Adjacent/Hypotenuse ⇒ Hypotenuse×Cos = Adjacent
Answer:
not the matrix equation but this works
x=4, y=1
Step-by-step explanation:
2x-4y=4 (original equation)
2(3x+2y=14) (do this so that you can subtract or add- it's still equal)
2x-4y=4 (original equation)
6x+4y=28 (after multiplying)
8x=32 (add 2 equations together to cancel out 4y, can also subtract)
x=4 (division)
2(4)-4y=4 (substitution)
8-4y=4 (multiplication)
4y=4 (addition/subtraction)
y=1 (division)
20 * 4 = 80 = perimeter of the square 24*2 = 48, the length of two sides of the rectangle. Deducting from 80 we are left with 32 and dividing by 2 we know the rectangle is 24 x 16 Area = L * W, so you can calculate the area of the rectangle.
384
Their radii, their diameters, their circumference, and their area will all be proportionate. But I think that all circles are proportionate.
Answer:
x=0
Step-by-step explanation:
