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Elis [28]
4 years ago
7

2(4x – 3) ≥ –3(3x) + 5x?

Mathematics
1 answer:
tatyana61 [14]4 years ago
8 0
Treat the 'more than or equal to' sign as a '=' then work it out like an ordinary algebraic equation.    
2(4x-3) = -3(3x)+5x
8x-6 = -9x+5x
-6 = -9x+5x-8x
-6 = -12x
-6/-12 = x
1/2 = x
Then swap the '=' back for the other sign. This works for all of the '<' type signs
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The capacity of a cylindrical water tank is 539 litres. If its height is 1.4 meter then find the radius of the base.​
natulia [17]

Answer:

350m

Step-by-step explanation:

  • capacity= volume/1000
  • but we know that volume of cylinder is πr²h so substitute it I'm the volume space
  • then substitute for π as 22/7, h as 1.4 , and also capacity as 539
  • 539= ((22/7)×r²×1.4)/1000
  • when you simplify you get r as 350m
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The two right triangular prisms are similar solids.
Zanzabum

Answer:

<h2>The volume of the larger prims is eight times greater than the smaller prism.</h2>

Step-by-step explanation:

If the scale factor of the larger prims to the smaller prism is 3, that means each side is triple.

We know the a triangular prims has a volume defined by

V_{small} =\frac{b \times h_{1} }{2} \times h_{2}

If we take that formula as the smaller prism, then the larer prism has a volum of

V_{large} =\frac{2b \times 2h_{1} }{2} \times 2h_{2}=8(\frac{b \times h_{1} \times h_{2}  }{2} )

If we compare, we can deduct that

V_{large}=8V_{small}

In words, the volume of the larger prims is eight times greater than the smaller prism.

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Step-by-step explanation:

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