Let the bushels of wheat is b and weight of the wheat is w.
We can say that more the bushels of wheat more will be the weight of the wheat.
Hence, the quantities vary directly.
Therefore, we have
, where k is the constant of variation.
Now, we have been given that 5 bushels of wheat weigh 136 kg. Thus, we have
Thus, the constant of variation is
Now, we have been given 3.5 bushels of wheat. Hence, we have
Therefore, 3.5 bushels of wheat weigh 95.2 kg
Answer:
7) K'(1, 1), N'(4, 0), Q'(4, 4)
9) F'(4, 2), W'(4, 5), K'(3, 2)
Step-by-step explanation:
When you are not sure about reflections and rotations, it can be useful to actually draw a graph. The line of reflection is the perpendicular bisector of the segment connecting a point with its image. That is, the image is the same distance from the line on the other side. A point that is <em>on</em> the line of reflection is "invariant," it doesn't move.
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7) Reflecting across the x-axis changes the sign of the y-coordinate. That is all. Any point on the x-axis (y=0) is unchanged. The transformation is ...
(x, y) ⇒ (x, -y)
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9) Reflecting across a vertical line changes the x-coordinate. The new value of x will be ...
x' = 6 - x
The "6" is double the x-coordinate of the vertical line. The transformation is ...
(x, y) ⇒ (6-x, y)
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<em>Derivation of the formula for reflection on x=3</em>
In general if M is the midpoint of a point (A) and its reflection (A'), then we have ...
M = (A +A')/2
2M = A + A'
2M -A = A'
When a point is reflected across a vertical line, all of the y-coordinate values remain unchanged. So, for A=(x, y) and M=(3, y), we have ...
A' = 2(3, y) -(x, y) = (6-x, 2y-y)
A' = (6 -x, y)
So, the reflection transformation across the line x = 3 is ...
(x, y) ⇒ (6-x, y)
Answer:
<h2>The volume of water in the vase is 339.33 in^3</h2>Step-by-step explanation:
To calculate the volume of water in the vase we need the following parameters
1. the diameter/radius of the vase
2. the height /level of water in the vase
Given data
diameter d= 6 in
radius = d/2= 6/2 = 3 in
height of water h= 12 in
we know that the expression for the volume of a cylinder is given as
Inserting our data we have