Answer:
c maybe
Step-by-step explanation:
Answer:
angle 1 (the last option)
Step-by-step explanation:
hope this helps!
Answer:
- 892 lb (right)
- 653 lb (left)
Step-by-step explanation:
The weight is in equilibrium, so the net force on it is zero. If R and L represent the tensions in the Right and Left cables, respectively ...
Rcos(45°) +Lcos(75°) = 800
Rsin(45°) -Lsin(75°) = 0
Solving these equations by Cramer's Rule, we get ...
R = 800sin(75°)/(cos(75°)sin(45°) +cos(45°)sin(75°))
= 800sin(75°)/sin(120°) ≈ 892 . . . pounds
L = 800sin(45°)/sin(120°) ≈ 653 . . . pounds
The tension in the right cable is about 892 pounds; about 653 pounds in the left cable.
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This suggests a really simple generic solution. For angle α on the right and β on the left and weight w, the tensions (right, left) are ...
(right, left) = w/sin(α+β)×(sin(β), sin(α))
Given:
The wheel chair ramp is parallel to the ramp.
To find:
The value of x and y.
Solution:
If two lines are parallel, then the alternate interior angles are congruent.
4x° + 6y° = 86° --------- (1)
Similarly,
5x° + 6y° = 94°
Subtract 5x° from both sides.
5x° + 6y° - 5x° = 94° - 5x°
6y° = 94° - 5x° --------- (2)
Substitute (2) in (1).
4x° + 94° - 5x° = 86°
94° - x° = 86°
Subract 94° on both sides.
94° - x° - 94° = 86° - 94°
- x° = 86° - 94°
- x° = -8°
Multiply by -1 on both sides, we get
x = 8
Substitute x = 8 in (2).
6y° = 94° - 5(8)°
6y° = 54°
Divide by 6 on both sides, we get
y = 6
The value of x is 8 and y is 6.
