Answer:
Step-by-step explanation:
refers to the permutations of 5 items taken 3 at a time. To evaluate this, we use factorials as follows;
The factorial of an integer n is evaluated as;
Using this concept, the above expression can now be simplified as follows;
Therefore, the permutations of 5 items taken 3 at a time is 60.
The next expression, 
refers to the combinations of 6 items taken 4 at a time. The simplification utilizes similar concepts of permutations since we shall be involving factorials;
Therefore, the combinations of 6 items taken 4 at a time is 15.
The final step is to evaluate the product;
<h3>Given</h3>
... r + 7 = 9
<h3>Find</h3>
... r
<h3>Solution</h3>
Subtract 7 from both sides of the equation.
... r + 7 - 7 = 9 - 7
... r = 2 . . . . . . simplify
Expressed as a solution set, this may look like ...
... r ∈ {2}
_____
You probably had no trouble solving this in 2nd grade when it was shown to you in the form ...
__ + 7 = 9
Answer:
the answer is A
Step-by-step explanation:
The answer is 98 your welcome
Answer:
AC= 14 units
Step-by-step explanation:
Given
--- right-angled
Required
Find AC
The question is illustrated using the attached triangle
The angles in a triangle are:
Substitute and
Collect like terms
To find AC, we make use of the sine of angle C:
--- i.e. opposite/hypotenuse
So:
Make AC the subject
