Answer:

Step-by-step explanation:
So we want to find Angle x.
Note that we already know the side length of the side opposite to Angle x.
We also know that the hypotenuse is 56.3.
Therefore, we can use the sine function. Recall that:

The opposite side is 42.7. The hypotenuse is 56.3. Substitute:

Take the inverse sine of both sides.

The left side cancels:

Use a calculator. Thus:

And that's our answer :)
32 is not a prime number.
32 = 2 · 2 · 2 · 2 · 2
Correct the prime factorization is:
23 · 5 · 2 · 2 · 2 · 2 · 2
Answer:
Step-by-step explanation:
<u>Let the numbers are:</u>
- x, x + 1, x + 2, x + 3 and x + 4
- Their sum is 5x + 10
- Their mean is (5x + 10)/2 = x + 2
If we swap the digits on the largest number, the sum increases by 1 more than x + 2
<u>We are looking for the number x + 4 = ab such that:</u>
- ba - ab = ab - 2 + 1
- ba = 2ab - 1
- 10b + a = 2(10a + b) - 1
- 10b + a = 20a + 2b - 1
- 8b = 19a - 1
- 19a = 8b + 1
<u>By trial method we get the solution:</u>
<u>Since x + 4 = 37, the lowest number is:</u>
<u>Lets verify:</u>
<u>The sum is:</u>
<u>The mean is:</u>
<u>Change the largest number tp 73 and find the sum again:</u>
- 175 + (73 - 37) = 175 + 36 = 175 + 35 + 1
The sum has increased by 1 more than 35
Answer: 13/7
Step-by-step explanation: So you add a one on the bottom of the 5 then multiply it. 5X3=13 and 1X7= 7 then you get 13/7.
Answer:
10h and 48min
Step-by-step explanation:
60*18=1080
1080/100=10.8
so 10.8h which means 10 hours and 48 min