The surface area of a hexagonal prism willl be 251.13844 cm².
<h3>What is the surface area?</h3>
The total land area of all the faces of a three-dimensional object is its surface area. When we wish to wrap something in real life, we employ the notion of surface areas of distinct things.
A=6ah+3√3a²
A=6×4×7+3√3×4²
A≈251.13844
Hence the surface area of a hexagonal prism willl be 251.13844 cm².
To learn more about the surface area, refer to the link;
brainly.com/question/2835293
#SPJ1
The rational function is defined as a polynomial of two parts. That is numerator and denominator i.e., denominator should not be zero.
Step-by-step explanation:
The given function is f(x)=13/10-x
Step:1
apply values to the term x in the given function,
Take X=1,
the equation becomes
f(1)=13/10-1
f(1)=1.444
Take X=2,
the equation becomes,
f(2)=13/10-8
f(2)=1.625
similarly,
f(3)=1.857,
f(4)=2.167,
f(5)=2.60,
f(6)=3.25,
f(7)=4.33,
f(8)=6.50,
f(9)=13,
but for f(10)= 13/10-10
f(10)=∞
f(11)=-13,
f(12)=-6.5,
f(13)=4.33,.. etc
so, f(x) is positive when the X value is less than 10.
f(x) is negative when the X value is more than 10.
but f(10)=∞ is never possible
Therefore, all the numbers are correctly apted expect zero
Answer:
(-∞, -1]
Step-by-step explanation:
−x−6≥−5
-x≥1
x≤-1
−2x−5>4
-2x>9
x<-9/2
So x < -9/2 V x ≤ -1
Answer:
The area of the shaded figure is:
Step-by-step explanation:
To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):
- Area of a rectangle = long * wide
- Area of a rectangle = 6 * 4
- Area of a rectangle = 24 units^2
How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):
- Area of a triangle =
- Area of a triangle =
- Area of a triangle =
- Area of a triangle = 4 units^2
In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:
- Area of the shaded figure = Area of the rectangle - Area of the triangle
- Area of the shaded figure = 24 units^2 - 4 units^2
- <u>Area of the shaded figure = 20 units^2</u>
I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.
