Answer:
Mass = 150000 Grams = 150 kg
Step-by-step explanation:
Givens
1 cm^3 = 1 mL
L = 100 cm
w = 50 cm
h = 30 cm
Volume of Tank
V = 100 * 50 * 30
V = 150,000 mL
Density = 1 gm / mL
Mass = Density * Volume
Mass = 1 * 150,000
Mass = 150,000 grams
Answer:
227.53
Step-by-step explanation:
503.74 - 276.21 = 227.53
Answer:
![y = x + 10](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%2010)
Step-by-step explanation:
The equation of a straight line is
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
Where b is the y-intercept and m is the slope.
We substitute m=1 and b=10 to get:
![y = x + 10](https://tex.z-dn.net/?f=y%20%3D%20x%20%2B%2010)
This is called the slope-intercept form of the equation of a straight line.
Answer:
Part 1) The segment length indicated is ![6.4\ units](https://tex.z-dn.net/?f=6.4%5C%20units)
Part 2) The segment length indicated is ![19\ units](https://tex.z-dn.net/?f=19%5C%20units)
Step-by-step explanation:
Let
x------> the segment length indicated
Part 1)
Applying the Pythagoras Theorem
![(13+x)^{2}=13^{2}+14.4^{2}\\ \\ (169+26x+x^{2})=169+207.36\\ \\x^{2}+26x-207.36=0](https://tex.z-dn.net/?f=%2813%2Bx%29%5E%7B2%7D%3D13%5E%7B2%7D%2B14.4%5E%7B2%7D%5C%5C%20%5C%5C%20%28169%2B26x%2Bx%5E%7B2%7D%29%3D169%2B207.36%5C%5C%20%5C%5Cx%5E%7B2%7D%2B26x-207.36%3D0)
Solve the quadratic equation by graphing
The solution is ![x=6.4\ units](https://tex.z-dn.net/?f=x%3D6.4%5C%20units)
see the attached figure N 1
Part 2)
Applying the Pythagoras Theorem
![x^{2} =11.4^{2}+(7.6+7.6)^{2}\\ \\ x^{2}=129.96+231.04\\ \\x^{2}=361\\ \\x=19\ units](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D11.4%5E%7B2%7D%2B%287.6%2B7.6%29%5E%7B2%7D%5C%5C%20%5C%5C%20x%5E%7B2%7D%3D129.96%2B231.04%5C%5C%20%5C%5Cx%5E%7B2%7D%3D361%5C%5C%20%5C%5Cx%3D19%5C%20units)
Answer:
24. It is an increase of 20
25. It is a decrease of 29
Step-by-step explanation:
For #24, we simply subtract the two numbers and take the answer as an increase.
36 - 16 = 20
The same goes for #25, but we see it as a decrease.
111 - 82 = 29