Answer:
Inversely proportion states that a relationship between two variables in which the product is a constant.
If one of the variable increases, then the other decreases in proportion so that the product is unchanged.
If y is inversely proportional to x, then the equation is of the form
; where k is the constant proportionality.
As per the given condition: Speed of a car is inversely proportional to the time it takes to complete a 100 mile trip,
Let x represents the speed of car and y represents the time taken.
From the given condition:
Then by definition of inversely proportional;
[Since, 
]
Here, k represents the distance(i.e constant) = 100 miles.
therefore, the equation becomes now;
or
xy = 100
The following graph for the above equation as shown below :
Answer:
5 + 2x=2x + 6
Subtract 5 from both sides.
2x =2x + 6 - 5
Combine like terms (numbers).
2x = 2x + 1
Subtract 2x from both sides.
0 = 1
Since 0 doesn’t equal 1, there is no real solution to the problem.
:)
That’s an acute triangle since all angles seem less then 90 degrees
Part (a)
See the diagram below for the net for this box. We have two rhombuses that are the two bases of the rhombic prism. The six rectangles form the lateral sides.
In geometry, a net is effectively the outer surface of a 3D object, but it has been laid flat on a plane. Think of unwrapping a present without throwing any pieces away. The net would be the wrapping laid out flat. As another example, a net of a cardboard box would be laying the box flat. So you're unfolding the box. This is mentioned in part (b).
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Part (b)
The main difference from this net compared to a net for a cardboard box is that everything is a rectangle for a cardboard box. This is because a cardboard box folds up into a rectangular prism.
So in the diagram below, you'll replace each rhombus with a rectangle. You'll make all four angles 90 degrees.
Volume of cone: pi x r^2 x H/3
3.14 x 2^2 x 10/3 = 41.87 cubic cm
volume of ice cream: 4/3 x pi x R^3
4/3 x 3.14 x 2^3 = 33.49 cubic cm
volume of cone is larger than volume of ice cream so no it will not overflow
