Recognise firstly that you're making a right-angled triangle, with the hypotenuse being the ladder; and the wall and ground making up the other two sides. One vertical side is 15 ft long, the hypotenuse is 20 ft long. Use Pythagoras' Theorem to solve for the length of the remaining side: <span><span>a2</span>+<span>b2</span>=<span>c2</span></span><span><span>152</span>+<span>b2</span>=<span>202</span></span><span><span>b2</span>=400−225</span><span><span>b2</span>=175</span><span>b=<span>175<span>−−−</span>√</span>=13.22ft</span> To get the angle the ladder makes to the ground, use the trigonometric functions - sine in this case: <span>sinθ=<span><span>opposite</span><span>hypotenuse</span></span></span><span>sinθ=<span>1520</span></span><span>θ=si<span>n<span>−1</span></span>(0.75)</span><span><span>θ=0.848radians(48.5degrees)</span></span>
The answer to this question is that there are many integers with deifferent signs when added the answer is 8.
For example,
+13 and -5 are two integers with different signs when added the answer will b 8.
The sum of integers +12 and -4 is also 8. +11 and -3, +10 and -2, +14 and -6 also gives 8 answer when added.
There are many others.
1/x = 1/2 That's what you got with your equation. So far so good. That does not tell you what x is though. You have go just a bit further.
1/x = 1/2 Cross multiply
x = 1 * 2
x = 2 It takes 2 hours to complete with all three machines working.
Selling price = cost + 0.42*cost = 1.42*cost
cost = selling price/1.42
cost = $9182/1.42 ≈ $6466.20
The answer is 136 I hope this helped