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Diano4ka-milaya [45]
3 years ago
10

Can someone please explain how to do this? 50 points

Mathematics
1 answer:
DENIUS [597]3 years ago
3 0
What are you trying to figure out ???
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If k = (n + 2)(n – 2), where n is an integer greater than 2, what is the value of k ? (1) k is the product of two primes. (2) k
Korolek [52]

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

6 0
3 years ago
Grace worked from 7:00 am to 6:30 pm. she gets paid $13 per hour and “time and a half” for any hours over 8. how much did she ge
Marrrta [24]
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>
4 0
3 years ago
**HELP!**
mr_godi [17]
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
3 0
3 years ago
Find the Sine of angle A<br> 8/17<br> 8/15<br> 15/8<br> 15/17
Vlad [161]

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,

\sin\theta=\dfrac{Perpendicular}{Hypotenuse}

In the given triangle ABC,

\sin A=\dfrac{BC}{AC}

\sin A=\dfrac{16}{34}

\sin A=\dfrac{8}{27}

Therefore, the correct option is A.

7 0
3 years ago
A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a
RideAnS [48]

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

3 0
4 years ago
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