Please consider the complete question.
The base of a solid oblique pyramid is an equilateral triangle with a base edge length of 18 inches. What is the height of the triangular base of the pyramid?
First of all, we will draw an equilateral triangle.
Since the given triangle is equilateral triangle, so all sides will have same length that is 18 inches.
We know that height of an equilateral triangle is 
, where a is side length of equilateral triangle.
Therefore, the height of the given equilateral triangular base will be 
inches and option B is the correct choice.
We can divide the above figure into two rectangles MNSR and OPQS.
The dimension of rectangle MNSR is 3 x 4 (Since, MR = 3 and MN = 4).
So, area of rectangle MNSR = 3* 4 = 12 square units.
Similarly dimension of rectangle OPQS is 3 x 1 because
PQ = MR - NO = 3 - 2 = 1
SQ = RQ - MN = 7 - 4 = 3.
So, area of OPQS = 3* 1 = 3 square units.
Hence, the area of polygon MNOPQR = Area of rectangle MNSR that is 12 square units + Area of rectangle OPQS that is 3 square units.
= 12 + 3
= 15 square units.
Hope this helps you!
Answer:
Answer:
b. -75x+57=-75x+57
Step-by-step explanation:
If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,
In option a.
57x+57=-75x-75
57x + 75x = -75 - 57
132x = -132
⇒ x = -1
i.e. it has only one solution,
In option b.
-75x+57=-75x+57
-75x + 75x = 57 - 57
0 = 0 ( True )
i.e. it has infinitely many solution.
In option c.
75x+57=-75x+57
75x + 75x = 57 - 57
150x = 0
⇒ x = 0
i.e. it has only one solution,
In option d.
-57x+57=-75x+75
-57x + 75x = 75 - 57
18x = 18
⇒ x = 1
i.e. it has only one solution.
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Composition of the functions is sometimes commutative.
Under certain circumstances, they can be the same. However, most of the time, they are not commutative.
For instance, if we have f(x)=x^2 and g(x)=x^3, then:
Most of the time, however, this won't work.
Edit: Added an example.
