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))
Answer: The equation of this line in slope intercept form (y=mx+ b) will be y=-2x+7.
Step-by-step explanation: The equation of a line can be determined in slope intercept if the slope and the y-intercept are provided. In y=mx+b, the m represents the slope while b represents the point where the line intersects the y-axis (y-intercept). You need to replace m and b with the values given in the question to determine the equation.
Hope this helps! Good luck with the rest of your work! :))
Answer:
x = 150°
Step-by-step explanation:
Start by cutting the shape into two triangles by bisecting the 30°
Now we have two triangles that have two angles 90° and 15°
Subtract 15° from 90°, you'll get 75°
Double 75° because x is split into 2
150° = x
Also, were given 3 angles, this is a quadrilateral.
90° + 90° + 30° = 210°
360° - 210° = 150°
Answer:
C. 29 cm
Step-by-step explanation:
- <em>We need to use The Triangle Inequality Theorem, which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.</em>
<u>Now let's compare the given measures vs answer choices.</u>
So, we have legs of 13 cm and 17 cm
Sum of two legs equal to 13 cm+ 17 cm= 30 cm
Now, the answer options:
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No, as 31 cm> 30 cm, one leg is greater than sum of other two legs, which is not possible
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No, as 13 cm + 4 cm = 17 cm, sum of two legs equal to third leg
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Yes, as 29 cm < 30 cm and the other pairs of legs, when summed up give greater number than the remaining leg.
- 1. 13+17 > 29
- 2. 13+29 > 17
- 3. 17+29 > 13
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No, as 30 cm is equal to sum of other legs
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As we found out, the answer is C. 29 cm
Hope it makes sense now