Answer:
(a) |s - x| ≤ 3/16
(b) 4 15/16 ≤ x ≤ 5 5/16
Step-by-step explanation:
(a) The absolute value of the difference from spec must be no greater than than the allowed tolerance:
|s - x| ≤ 3/16
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(b) Put 5 1/8 for s in the above equation and solve.
|5 1/8 - x| ≤ 3/16
-3/16 ≤ 5 1/8 -x ≤ 3/16
3/16 ≥ x -5 1/8 ≥ -3/16 . . . . multiply by -1 to get positive x
5 5/16 ≥ x ≥ 4 15/16 . . . . . . add 5 1/8
Pieces may be between 4 15/16 and 5 5/16 inches in length.
You can do this by comparing your equation to the general form of equation of a circle
( x - a)^2 + (y - b)^2 = r^2 where (a,b) is the centre and r = radius:-
(x + 9)^2 (y + 6)^2 = 9
so (a,b) = (-9,-6) and r = 3
so the answer is B
Answer:
see explanation
Step-by-step explanation:
∠ YXW = ∠ ZXV ( vertically opposite angles ) , so
4a + 15 = 2a + 65 ( subtract 2a from both sides )
2a + 15 = 65 ( subtract 15 from both sides )
2a = 50 ( divide both sides by 2 )
a = 25
Then
(7)
∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°
(8)
∠ YXW = ∠ ZXV = 115°
∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is
(9)
∠ ZXY = 180° - 115° = 65°
(10)
∠ VXW = ∠ ZXY = 65° ( vertically opposite angles
Distance = sqrt [ (7.5 - -3.0)^2 + (-7.5 - .5)^2) ]
= sqrt 17,226.56 = 131.25 (answer)
Answer:
Given:
- angle: E
- opposite-leg : 3
- adjacent - leg: 4
- hypotenuse: 5
sin(E) = opposite-leg / hypotenuse = 3 / 5
Answer: 3 / 5
Step-by-step explanation:
Brainliest?
