The answer is Hx = ½ Wsin θ cos θ
The explanation for this is:
Analyzing the torques on the bar, with the hinge at the axis of rotation, the formula would be: ∑T = LT – (L/2 sin θ) W = 0
So, T = 1/2 W sin θ. Analyzing the force on the bar, we have: ∑fx = Hx – T cos θ = 0Then put T into the equation, we get:∑T = LT – (L/2 sin θ) W = 0
I think b not sure it’s the only one that makes sense
Answer: Choice B) The expression (10-2x)(30-2x)x represents the volume of the box
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The original width is 10 inches. The width reduces to 10-2x inches after we cut off the top two corners of the rectangle. We can think of it as taking 10 and subtracting off two copies of x like so: 10-x-x = 10-2x
Similarly, the length goes from 30 inches to 30-2x inches. This time we're taking off the top and bottom corners (focus on either side it doesn't matter).
The height of the box is x inches due to this portion being folded up.
Volume of box = (width)*(length)*(height)
Volume of box = (10-2x)(30-2x)x
Note: the units for the answer are in cubic inches which can be written as "in^3" (inches cubed).
That's basically any number that's larger than 3/4.
4/4
73/6
9/9
11/12
etc.
Answer:
Option D
Step-by-step explanation:
We have the following variable definitions:
sofas: x
pillows: y
Pillows come in pairs so we have 2y pillows
The total order for all the possible combinations is:
The wholesaler requires a minimum of 4 items in each order from its retail customers. This means the retailers can order 4 or more.
Therefore the inequality is:
To graph this inequality, we graph the corresponding linear equation, with a solid line and shade above.
The correct choice is D
See attachment