Answer:
The answer is k=77
Step-by-step explanation:
It is given that n is an integer and greater than 2. Let us simplify k = (n + 2)(n – 2) to k=n^2-4.
In (1) it is stated that k is the product of two primes and in (2) it is stated that k<100. To solve the question we need to consider both cases (1) and (2).
Let say n=9 then k=n^2-4 becomes k=81-4=77. Well, 77 is the product of two prime numbers 7 and 11 (77=7*11). The answer is k=77
Hours worked between 7:00 am and 6:30 pm
1830-700= 11 hours and 30 minutes.
Pay for the first 8 hours;
8*13 hours
=$104
Pay for the remaining 4 hours and 30 minutes;
4.5*18.5
=<span>$ 83.25
</span>Total pay;
=<span>$187.25</span>
If two figures or lengths are similar, then the ratios of the corresponding lengths are equal.
Thus, 8/32 =5/x
8x = 160
x = 20 feet
Therefore, the length of the flag pole was 20 feet long
Given:
In triangle ABC, AB = 30, BC = 16, AC = 34 and measure of angle B is 90 degrees.
To find:
The value of Sine of angle A.
Solution:
In a right angle triangle,

In the given triangle ABC,



Therefore, the correct option is A.
Answer:
720 possible ways
Step-by-step explanation:
The gold is awarded to the first position, the silver is awarded to the second position while the bronze is awarded to the third position.
The first position can be taken by any of the 10 runners
Now, the second position can be taken by remaining 9 runners
while the third position can be taken by the renaming 8 runners.
Thus, the number of ways in which these medals can be awarded = 10 * 9 * 8 = 720 ways