<span>Data:
</span><span>Hypotenuse is 7.5
Opposite of angle x is 6</span><span>
Cosine = Side opposite (S.O) the angle on the hypotenuse (h)
We have:
</span>



<span>For better understanding, see the annex:
</span>
Answer:
6/21
Step-by-step explanation:
1. First, check all the possible combinations for a pair of dice:
1-1
1-2 2-2
1-3 2-3 3-3
1-4 2-4 3-4 4-4
1-5 2-5 3-5 4-5 5-5
1-6 2-6 3-6 4-6 5-6 6-6
(Those are the numbers of the dice, separated by hyphons.)
2. Next, find out the products, since that is the info we need to go off of.
1
2 4
3 6 9
4 8 12 16
5 10 15 20 25
6 12 18 24 30 36
(those are all the products based on the same chart we saw above.)
3. Now, let's calculate the probability.
- Find the amount of prime numbers. (1, 2, 3, 5) Looks like there are four total.
- Find the amount of numbers that end in a five. (15, 25) There are two. I've skipped 5 because that is already on the list.
- Find the total amount of numbers. There are 21 in our case.
4. There are 6 numbers that will satisfy our needs. (prime or ending in 5)
There are 21 total.
6/21
If you need decimal form, there is a
0.2857 chance.
Hope this helped.
Answer:
the rate of change is 20 calories per minute.
Step-by-step explanation:
Answer:
-52, and the opposite of this is 52.
Step-by-step explanation:
If we are losing 52 pounds, then our number is -52 since we are losing 52 pounds (adding a negative number to a positive number is the same as subtracting that number).
The opposite of a number is when we negate the number, or multiply it by -1.
A negative number times a negative number is a positive number.

Hope this helped!
Answer:
Ans: 1/12
Step-by-step explanation:
No. of events:4+4+1+3=12
Let the no. of events be E
Let the no. of packs of gum be P1
Prob. of choosing a pack of gum=P1/E
Probability=1/12