Answer:
x > -3/2
Step-by-step explanation:
x-3x+3<6
Combine like terms
-2x+3<6
Subtract 3 from each side
-2x +3-3<6-3
-2x <3
Divide each side by -2,remembering to flip the inequality
-2x/-2 > 3/-2
x > -3/2
The triangle lengths would be 14√2, 7√2 and 7√6.
The sides of a 45-45-90 triangle can be listed as t, t and t√2. The legs are each 14, so the hypotenuse will be 14√2.
This will also be the longest side of the 30-60-90 triangle. Its sides can be listed as t, 2t and t√3. Since the hypotenuse is the longest side, we have:
2t=14√2
Dividing both sides by 2, we have:
2t/2 = 14√2/2
t = 7√2
The remaining side will be t√3:
t = 7√2
t√3 = 7√2(√3) = 7√6
Because the triangles are similar, we can form the proportion 3/4 = 4/a
Cross multiply and solve for 'a'
3/4 = 4/a
3*a = 4*4
3*a = 16
3*a/3 = 16/3
a = 16/3
a = (15+1)/3
a = (15/3)+(1/3)
a = 5+(1/3)
The answer is choice B)
Answer:
128 ft^2
Step-by-step explanation:
each drapery has an area of 8*4 feet^2 and there are four panes so the total area is 8*4*4= 128
Let the required length be x, then
x/25 = 6/(6 + 9)
x/25 = 6/15
15x = 25 x 6
x = 150/15
x = 10
Therefore, the short brace should touch the brace at 10 feet.
