20 and 8 make a product of 160
and their difference is 12
The equation is "x=0", because the x intercepts at the x axis with no y-intercept.
70.1 ft² of fabric is needed by Lacy to make the sail boat.
<h3>
Trigonometric ratio</h3>
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let b represent the base of the triangle and h the height, hence:
sin(60) = h / 18
h = 15.6 feet
sin(30) = b / 18
b = 9 feet
The area of triangle = (1/2) * b * h = 0.5 * 9 * 15.6 = 70.1 ft²
70.1 ft² of fabric is needed by Lacy to make the sail boat.
Find out more on Trigonometric ratio at: brainly.com/question/6459892
x= 3+√5/4,3-√5/4
Step-by-step explanation:
1.In general, given ax^2+bx+c=0, there exists two solutions where:
x= -b+√b^2 - 4ac/2a, -b-√b^2-4ac/2a
2.In this case, a=4, b=-6 and c=1.
x=6+√(-6)^2-4×4/2×4, 6-√(-6)^2-4×4/2×4
3.Simplify.
x=6+2√5/8, 6-√5/8
4.Simplify solutions.
x=3+√5/4, 3-√5/4
Step-by-step explanation:
The question missing attachment (incomplete)
But the question said how far up does the ladder reach on the building?
See the attachment
Let the tita be 60° and the height of the building be 50 meters
Now
Opposite/hypotenuse = sin(tita)
50/x = sin60°
Cross multiply to find x
x = 50/sin(60°)
x= 50/0.8660
x=57.7 meters
