Answer:
10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here's how I would do it (not necessarily the only way or best way).
Draw an imaginary line from A to C. This splits the kite into two triangles: ABC and ADC. Since AB ≅ AD, CB ≅ CD, and AC ≅ AC, the two triangles must be congruent by SSS. Therefore, ∠B ≅ ∠D.
Answer: d) 983 11/15 cm3
just multiply all the values because it's volume.
hope this helps :)
<h3>Answer:</h3>
There are 40,320 ways, in which 8 books can be arranged on a shelf.
<h3>Solution:</h3>
Here, we are to find the number of ways in which 8 books can be arranged on a shelf. The total number of books is 8 and the way of arranging books is also 8.
- If one book is placed in the first place, then 7 books will be placed in front of it. If 2 books are placed in the 2nd place, then only 6 books can be placed after that book. This sequence will continue till 1 .
<u>Permutations </u><u>:</u>
- A permutation is an arrangement of objects in a definite order.
➲<u> P ( n, r )= n ! / ( n - r ) !</u>
- n = total number of objects
- r = number of objects selected
The number of ways to arrange 8 books on a shelf will be :
➝ P ( n, r ) = n ! / ( n - r ) !
➝ P ( n, r ) = 8 ! / ( 8 - 8 ) !
➝ P ( n, r ) = 8 ! / 0 !
➝ P ( n, r ) = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 / 1
➝ P ( n, r ) = 40, 320
ㅤㅤㅤㅤㅤㅤ~ Hence, there are <u>40,320 ways</u> in which 8 books can be arranged on a shelf !
Ration expressions cause excluded values wherever the denominator equals zero.
So, for any expression like
-5 is an excluded value if 
For example, the simplest one would be
In fact, if you try to evaluate this function at -5, you'd have
which is undefined, and thus you can't evaluate the function, and thus -5 is an excluded value.
