Let <em>a</em> be the number in the 10s place and <em>b</em> in the 1s place. Then the original two-digit number is 10<em>a</em> + <em>b</em>.
The sum of the digits is 5:
<em>a</em> + <em>b</em> = 5
Subtract 9 from the original number, and we get the same number with its digits reversed:
(10<em>a</em> + <em>b</em>) - 9 = 10<em>b</em> + <em>a</em>
Simplifying this equation gives
9<em>a</em> - 9<em>b</em> = 9
or
<em>a</em> - <em>b</em> = 1
Add this to the first equation above:
(<em>a</em> + <em>b</em>) + (<em>a</em> - <em>b</em>) = 5 + 1
2<em>a</em> = 6
<em>a</em> = 3
Then
3 - <em>b</em> = 1
<em>b</em> = 2
So the original number is 32. Just to check, we have 3 + 2 = 5, and 32 - 9 = 23.
Answer:
See the attachment
Step-by-step explanation:
A unit circle is one whose radius is 1
sin(90) will have coordinates (0,1)
sin(40)= 0.643
sin(40)= P/H= 0.643/1
cos(40)= B/H= 0.766
Similarly for cos(245)= cos(-65)= -0.423/1
sin(245)= sin(-65)= -0.906
Answer:
398.71 ft
Step-by-step explanation:
Length of rebar = 18 inches = 1.5 ft
Elevation = 393.66 ft
Reading of backsight on Benchmark= 7.56 ft
Rod reading = 1.10 ft
<em>First step : determine height of Instrument been used</em>
= elevation + backsight on Benchmark
= 393.66 + 7.56 = 401.22 ft
<em>Elevation of top of rebar </em>
= 401.22 - 1.01 = 400.21 ft
Finally determine the elevation of the top of the pipe
= 400.21 - length of Bar
= 400.21 - 1.5 = 398.71 ft
3/7 is the least, 4/5 is the middle, 5/6 is the greatest.
