Answer:
30 minutes
Step-by-step explanation:
Nathaniel can weld 1 rail in 75 minutes, so he welds 1R = 75 min, and Brenda can weld 1 rail in 50 minutes (25 minutes faster than Nathaniel), so she welds
1R = 50 min
We want to see how many minutes it takes them both, so we need to solve both problems for the minute unit
Nathaniel: (1/75)R = 1 min (he can do one seventy-fifth of a rail per minute)
Brenda: (1/50)R = 1 min (she can do one fiftieth of a rail per minute)
notice, the equation is 1/(minutes it takes them), and we want to see how long it takes both of them, so we get the equation:
1/75 + 1/50 = 1/x
Simplify the left side with common denominator of 57(50) = 3750
We get
125/3750 = 1/x
We can cross multiply to get rid of the fractions...
125x = 3750
Divide both sides by 125 to solve for x...
x = 30, so it would take them 30 minutes to weld a rail if they work together.
Answer:
a = 16
Step-by-step explanation:
The altitude YB is at right angles to the base XZ , then
∠ YBZ = 90° , so
6a - 6 = 90 ( add 6 to both sides )
6a = 96 ( divide both sides by 6 )
a = 16
Answer:
It's very simple. In 4 decimal digits there are 10,000 (0000 to 9999) possible values. The odds of any one of them coming up randomly is one in 10,000. A specific "4 digit number" would have 1/9000 chance, since there are 9000 4 digit numbers (1000-9999).
Step-by-step explanation:
I could be wrong (and I apologize if I am), but I believe these are the answers to your questions.
1.) Angle 4
2.) Angle 6
3.) Angle 10
4.) 30 degrees
5.) 48 degrees
6.) 55 degrees
7.) 68 degrees
8.) 148 degrees
9.) 102 degrees
10.) 38 degrees
If I turn out to be correct, then I am happy I was able to help you.