Answer:
cos theta = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent side/ hypotenuse
cos theta = 8/17
The answer is 28. you start with the parenthesis and do 25+6 which is 31x1 is 31. then you do 1-4 and get -3. then add -3 to 31 and get 28
Answer:
this is your ans.. i hope it is helpfull
The work done (in foot-pounds) in stretching the spring from its natural length to 0.7 feet beyond its natural length is 1.23 foot-pound
<h3>Data obtained from the question</h3>
From the question given above, the following data were obtained:
- Force (F) = 3 pounds
- Extension (e) = 0.6 feet
- Work done (Wd) =?
<h3>How to determine the spring constant</h3>
- Force (F) = 3 pounds
- Extension (e) = 0.6 feet
- Spring constant (K) =?
F = Ke
Divide both sides by e
K = F/ e
K = 3 / 0.6
K = 5 pound/foot
Thus, the spring constant of the spring is 5 pound/foot
<h3>How to determine the work done</h3>
- Spring constant (K) = 5 pound/foot
- Extention (e) = 0.7 feet
- Work done (Wd) =?
Wd = ½Ke²
Wd = ½ × 5 × 0.7²
Wd = 2.5 × 0.49
Wd = 1.23 foot-pound
Therefore, the work done in stretching the spring 0.7 feet is 1.23 foot-pound
Learn more about spring constant:
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Answer:
The solution to the system of equations is:
The graph is attached below.
Step-by-step explanation:
Given the system of equations
Let us solve the system of equations using the elimination method
Arrange equation variables for elimination
Multiply y + 2x = 5 by 2: 2y + 4x = 10
subtracting the equations
solve 6x = 18 for x
Divide both sides by 6
simplify
For 2y - 2x = -8 plug in x = 3
Add 6 to both sides
Simplify
Divide both sides by 2
Simplify
Therefore, the solution to the system of equations is:
The graph is attached below.
