Answer:-3x+3y=6
Step-by-step explanation:
Answer:
31.5 in
Step-by-step explanation:
- Volume of a hemisphere = (2/3)
r³
(where r is the radius)
- Volume of a cylinder =
r²h
(where r is the radius and h is the height)
- radius r = (1/2) diameter
First, find the volume of the scoop using the volume of a hemisphere formula with r = 21:
Volume = (2/3)
x 21³ = 6174
in³
Now equate the found volume of the scoop to the equation of the volume of a cylinder with r = 14, and solve for h:
14²h = 6174![\pi](https://tex.z-dn.net/?f=%5Cpi)
196
h = 6174![\pi](https://tex.z-dn.net/?f=%5Cpi)
Divide both sides by
: 196h = 6174
Divide both sides by 196: h = 31.5
Therefore, the height of the molten steel in the storage tank is 31.5 in
The integers are x, x + 2 and x + 4
x + x + 2 + x + 4 = 126
3x + 6 = 126
3x = 126 - 6 = 120
x = 120/3 = 40
The least consecutive integer is 40
The second consecutive integer is 42
The greatest consecutive integer is 44.
Therefore, the numbers are 40, 42 and 44
Cos(x) = 32/40 = 0.8 ⇒ x ≈ 37°
I would say;
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