Answer:
12 Units
A total of 12 units have been traveled.
We can't write the product because there is no common input in the tables of g(x) and f(x).
<h3>Why you cannot find the product between the two functions?</h3>
If two functions f(x) and g(x) are known, then the product between the functions is straightforward.
g(x)*f(x)
Now, if we only have some coordinate pairs belonging to the function, we only can write the product if we have two coordinate pairs with the same input.
For example, if we know that (a, b) belongs to f(x) and (a, c) belongs to g(x), then we can get the product evaluated in a as:
(g*f)(a) = f(a)*g(a) = b*c
Particularly, in this case, we can see that there is no common input in the two tables, then we can't write the product of the two functions.
If you want to learn more about product between functions:
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Answer:
Step-by-step explanation:
To polygons are said to be similar if all the corresponding angles of given polygons are equal.
In the given figure, it can be seen that in quadrilateral FSHB and quadrilateral KTWJ all the corresponding angles are equal.
∠F=∠K
∠S=∠T
∠H=∠W
∠B=∠J
Therefore, The given polygons are similar.
Hence,
Are you missing information and or a picture that was provided?
Hello there!
1.) To start, first know that a cube has the same height, length, and width, meaning that all of the dimensions are 5-in. Then, when you slice it in half, this would mean that you have now reduced the width to half of its original. This would mean that the width is now 2.5 while the height and length remain 5.
Now that you have this information, you can now find the surface area by using this formula:
A= 2lw+2lh+2hw
Now plug in your values:
A=2(5)(2.5)+2(5)(5)+2(5)(2.5)
This would simplify to:
A=25+50+25
A=100 in squared
Therefore, the surface area of the two pieces are 100 inches squared.
2.) To start, first plug the measurements of the tank into the cylinder volume formula:
V=r^2h
V=(2.75)^2(10)
V= 237.58 cubic feet
Now, we must find how long it will take the tank to empty if the rate is 3.7 cubic feet per minute so divide the volume (in feet) by the rate:
237.58/3.7= 64.2108...
Rounded to the nearest hundredth, it would take approximately 64.21 minutes to empty the take when it is full.
:)
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