Given :
A water well rig has dug to a height , H = 60 feet after one full day of continuous use .
To Find :
If the height is currently 143.6 feet how time it been running .
Solution :
It is given that height after 24 hours of use is 60 feet .
So , height loose in 1 hours is :
Now , time taken to cover a height of 143.6 feet is :
Therefore , time taken is 57.44 hours .
Hence , this is the required solution .
Answer:
27 degrees
Step-by-step explanation:
The easy way is by remembering the formula (a-b)/2=c, where a is the larger angle, and b is the smallest angle. (90-36)/2=27.
The longer, more drawn out answer goes as follows. See the image to understand the notation I use:
- AOE + BOD + BOA + DOE = 360
- AOE + BOD = 90 + 36 = 126
- BOA + DOE = 360 - AOE - BOD = 234
- Since the sum of a triangle's angles is 180, ODE = (180 - DOE) / 2
- Likewise, OBA = (180 - BOA) / 2
- Since CDE is 180, CDO = 180 - ODE = 180 - (180 - DOE) / 2
- Likewise, CBA is 180, so CBO = 180 - OBA = 180 - (180 - BOA) / 2
- The interior angles of the irregular polygon CBOD add up to 360, so CBO + CDO + BOD + BCD = 360.
- Substituting what we already found, 180 - (180 - BOA)/2 + 180 - (180 - DOE)/2 + 36 + BCD = 360
- Cleaning it all up, we get 180 + (BOA + DOE)/2 + 36 + BCD = 360
- As we found in line 3, BOA + DOE = 234, so substituting that in, 180 + 117 + 36 + BCD = 360
- Finally, solving for BCD (360 - 36 - 117 - 180) we get our answer, 27
Note: The long drawn out method shown above is a way to derive the formula for the secant theorem. You do not need to use this method every time. Just remember, large angle minus small angle, all divided by 2. That is it.
This is something I’ve never seen before I think you have to add the numbers.
51x0.15=7.65 7.65 is the 15% of 51
The sum of two numbers is 136 (sum is what you get when you add two numbers together). If one of the two numbers is 51, and the other number is X, then:
X + 51 = 136
To solve for x we subtract both sides by 51.
X + 51 -51 = 136 - 51
X = 85
The other number is 85.
What are the common factors of these two numbers?
Factors are the numbers that multiply to make the product.
Factors of 51: 1, 51, 3, 17
Factors of 85: 1, 85, 5, 17
