Consider functions f and g such that composite g of is defined and is one-one. Are f and g both necessarily one-one. Let f : A → B and g : B → C be two functions such that g o f : A ∴ C is defined. We are given that g of : A → C is one-one.
9514 1404 393
Answer:
√145 ≈ 12.04
Step-by-step explanation:
The length of the space diagonal is the root of the sum of the squares of the prism edge lengths:
d² = a² +b² +c² = 6² +3² +10² = 145
d = √145 ≈ 12.04 . . . inches
__
The face diagonal is found using the Pythagorean theorem in the usual way:
f² = a² + b²
The space diagonal is the hypotenuse of the right triangle whose sides are the face diagonal and the remaining edge:
d² = f² +c²
d² = a² +b² +c²
__
Here is a diagram.
Given:
In triangle DEF, HG is parallel to DF.
To find:
The value of x.
Solution:
In triangles DEF and GEH,
(Common angle)
(Corresponding angle)
(By AA property of similarity)
We know that corresponding sides of similar triangle are proportional.





Isolating variable terms, we get



Therefore, the value of x is equal to 4.
Answer:
None
Step-by-step explanation:
There is no integer equivalent to 91/2, integers can't have a decimal.
However, I assume you would like me to answer 9.5, even though it isn't an integer.