Answer:
<h3>x = 22.54</h3>
Step-by-step explanation:
Tangent θ = Opposite / Adjacent
tan(29) = 20/x
Cross multiply.
x = 20 / (tan(29))
x = 22.544284
Step-by-step explanation:
h = height of rectangle (should be "length", but ok)
w = width of rectangle
w = h + 97
the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²
113² = 12769 = 2h² + 194h + 9409
3360 = 2h² + 194h
1680 = h² + 97h = (h + 97/2)² - 9409/4
(completing the square)
6720/4 + 9409/4 = (h + 97/2)²
16129/4 = (h + 97/2)²
127/2 = h + 97/2
30/2 = h = 15
the height is 15.0 in
X+3y=3
First add subtract the x
3y=-x+3
Then divide 3
Y=-1/3x+1
I think the answer would be C. (btw, you should charge your phone/tablet, lol)
