Answer:
25 cm.
Step-by-step explanation:
If the hypotenuse is x cm long the 2 legs are x-5 and x-10 cm long.
So by the Pythagoras theorem:
x^2 = (x - 5)^2 + (x - 10)^2
x^2 = x^2 - 10x + 25 + x^2 - 20x + 100
x^2 - 30x + 125 = 0
(x - 5)(x - 25) = 0
x = 5, 25
We can discard x = 5 because that would make the lengths of the legs negative so the hypotenuse = 25 cm long.
Step-by-step explanation:
![ratio \:of \:surface \:areas\\=\frac{2[5\times 7 + 7\times 3+3\times 5]}{2[20\times 28+ 28\times 12+12\times 20] }\\\\=\frac{[35 + 21+15]}{[560+ 336+240] }\\\\=\frac{71}{1136}\\\\=\frac{1}{16}\\\\= 1\: :\: 16](https://tex.z-dn.net/?f=%20ratio%20%5C%3Aof%20%5C%3Asurface%20%5C%3Aareas%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B2%5B5%5Ctimes%207%20%2B%207%5Ctimes%203%2B3%5Ctimes%205%5D%7D%7B2%5B20%5Ctimes%2028%2B%2028%5Ctimes%2012%2B12%5Ctimes%2020%5D%20%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B%5B35%20%2B%2021%2B15%5D%7D%7B%5B560%2B%20336%2B240%5D%20%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B71%7D%7B1136%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B1%7D%7B16%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%201%5C%3A%20%3A%5C%3A%2016)
Answer: find the solution in the explanation
Step-by-step explanation:
Let's use resolution of forces by resolving into x - component and y- component.
X - component.
Sum of forces = F1 - F3 - F4cos 15
Sum of forces = 0
5 - 5 - 0.97F4 = 0
- 0.97 F4 = 0
F4 = 0
Y - component
Sum of forces = F2 + F4 sin 15
Sum of forces = 0
5 + 0.26F4 = 0
0.26 F4 = -5
F4 = -5/0.26
F4 = -19.23 N
Simulating F4 back into the equation
Sum of forces = F1 - F3 - F4cos 15
- F4cos Ø = 0
- (-19.23) cos Ø = 0
Cos Ø = 0
Ø = 1
Does the angle formed approximate 15 degrees ? NO
“My neighbor owns his own property” your book said non mathematical, but tell me if it’s supposed to be. I can write you a new one.
