Answer:
The beam should be placed 8 feet from the center.
Step-by-step explanation:
The struts are y = √(x + 8) and y = √(x − 4). The struts are 2 feet apart at the location of the beam:
√(x + 8) − √(x − 4) = 2
Solving:
√(x + 8) = 2 + √(x − 4)
x + 8 = 4 + 4√(x − 4) + x − 4
8 = 4√(x − 4)
2 = √(x − 4)
x − 4 = 4
x = 8
Answer:
1. B. x = 11
2. E.
3. D. 4.3 in
4. D. 40.8 ft
Step-by-step explanation:
1. By Angle Addition Postulate,
Since
then
2. By Angle Addition Postulate,
Since
then
Therefore,
3. The area of trapezoid is
From the diagram,
then
Since the area of trapezoid is then
4. Use formula for the area of the circle to find the radius of the circle:
So,
Now, find the circumference of the circle:
Answer:
d
Step-by-step explanation:
Answer:
Let Q be (x,y). Then AQ = 4QB; or (x - 2) = 4(4 - x) and (y + 1) = 4(2 - y);
x - 2 = 16 - 4x; 5x = 18 [ x = 3.6. y + 1 = 8 - 4y; 5y = 7, y = 1.4, So, Q(3.6, 1.4)