Answer:
6°
Step-by-step explanation:
8m + 4° + 38° = 90°{ being complementary angles}
8m + 42° = 90°
8m = 90° - 42°
8m = 48°
m = 48° /8
m = 6°
Hope it will help :)
Answer:
The length of PQ is <u>18</u> feet.
The length of PR is <u>18</u> feet.
The length of QR is <u>24</u> feet.
Step-by-step explanation:
A way to set an equation up for this problem is:

where x is the three lengths of the isosceles triangle, but the base QR is 4/3 the length of the other two congruent sides, length PQ and PR. The 60 represents the total length of the perimeter.
Then, solve for x from the equation, and you’ll get x=18. But your not done yet. Since the variable x in the equation stands for the sides of the isosceles triangle, so plug 18 into the equation and it should look like this:

Don’t solve the whole equation, just solve the
part of the equation, which is equal to 24. So the final equation is this:

Conclusion: 24 is the length of QR, and 18 is the length of PQ and PR. And they all equal 60, which is the perimeter. This is very true because the length of PQ and PR are the same (length 18), since it’s an isosceles triangle, and the length of QR is 4/3 the length of PQ and PR (4/3 of 18= 24).
Sorry for the long explanation.
But hope this helps and answers your question :)
Answer:
a) This is a permutation, there are 210 ways to do it
b) This is a permutation with 6 possibilities
c) This is a combination with a total of 1081575 possibilities
Step-by-step explanation:
a) Here the order does matter bacause it is not the same that they go to France in the weak trip than they go there for 2 days, as a result, this scenario is a permutation.
You need to pick 3 countries from a total of 7, but the order matters, so the total amount of ways to do this is
b) Here each permutation of 123 will give you a possible (and a different one from the others) lock-combination, so this is again a permutation.
The total amount of ways we have to do the selectio of the lock-combination is the total amount of permutations of a set of 3 elements, in other words, it is 3! = 6.
c) If you only cares about who advances to the finals, then the order doesnt matter here, you just want 8 people out of the 25 available. This is therefore a combination, and the total amount of possible cases are
.