Answer:
255.13 or 255.125
Step-by-step explanation:
2.5 times 3.14 equals 7.85
7.85 times 32.5
I am looking on the answers, and there is only one case, when a or b or c or d pass: 3|x-3| + 2 = 14. So I assume, that before two is plus. Then:
3|x-3|+2=14 |minus 2
3|x-3|=12 |divide 3
|x-3|=4
From absolute value definition you've got two ways:
x-3=4 or x-3=-4
x=7 or x=-1
And answer d) passes
Answer:
see explanation
Step-by-step explanation:
∠TRV = ∠SRW ( vertical angles ), hence
2x + 15 = 85 ( subtract 15 from both sides )
2x = 70 ( divide both sides by 2 )
x = 35
Hence
∠VRU = 2x + 10 = ( 2 × 35) + 10 = 70 + 10 = 80°
and
∠URW + ∠VRU + ∠SRW = 180 ( sum of angles in a straight line ), thus
∠URW + 80 + 85 = 180
∠URW + 165 = 180 ( subtract 165 from both sides )
∠URW = 15°
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:
Option A.
Step-by-step explanation:
According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.
Apply this theorem on each combination.
Case I: 
...(1)
Case II: 
...(2)
Case III: 
...(3)
On combining (1), (2) and (3), we get
Therefore, the correct option is A.
