9514 1404 393
Answer:
1 marble
Step-by-step explanation:
The volume of steel is ...
V = LWH
V = (30 cm)(20 cm)(10 cm) = 6000 cm³
The volume of a marble is ...
V = (4/3)πr³ = (4/3)π(11.273 cm)³ = 6000 cm³
The block of steel will make 1 marble.
Answer:
x = -10
Step-by-step explanation:
3(x+1) +5 = 2x -2
<em>Distribute the 3 to the x+1</em>
3x+3 +5 = 2x -2
<em>Combine like terms</em>
3x + 8 = 2x -2
<em>Subtract 2x from both sides</em>
x + 8 = -2
<em>Subtract 8 from both sides</em>
x = -10
Hope this helps!
Answer:
The cubic volume of concrete needed to complete the ramp is 360 ft³
Step-by-step explanation:
We note that the ramp shape is that of a right ngled triangular cube with dimensions
Height = 10 ft
Base = 12 ft
Width = 6 ft
The amount of concrete to fill the ramp is approximately the volume of the ramp.
Volume of ramp = volume of triangular prism = 0.5×Base ×Height × Width
Volume of ramp = 0.5×12×10×6 = 360 ft³.
The cubic volume of concrete needed to complete the ramp = 360 ft³.
Answer:
negative square root of 2
negative square root of 3
negative square root of 5
Step-by-step explanation:
:)
Answer:
(5, 4 )
Step-by-step explanation:
Given the 2 equations
4x + 6y = 44 → (1)
4x + 2y = 28 → (2)
Subtracting (2) from (1) term by term eliminates the term in x, that is
(4x - 4x) + (6y - 2y) = (44 - 28), that is
4y = 16 ( divide both sides by 4 )
y = 4
Substitute y = 4 into either of the 2 equations and solve for x
Substituting y = 4 in (1)
4x + 6(4) = 44
4x + 24 = 44 ( subtract 24 from both sides )
4x = 20 ( divide both sides by 4 )
x = 5
Solution is (5, 4 )
