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evablogger [386]
3 years ago
7

A solid gold cube with edge of 2" is melted down and recast as a cone with a 3" radius base. Find the height of the cone.

Mathematics
2 answers:
Pavlova-9 [17]3 years ago
6 0

The correct answer is 8/(3 pi)

Arlecino [84]3 years ago
3 0
A cube and a cone will have the same volume.
V ( cube ) = a ³ = 2³ = 8
V ( cone ) = 1/3 r² π h = 1/3 · 3² · 3.14 · h = 8
9.42 h = 8
h = 8  : 9.42 = 0.849``
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1. cot x sec4x = cot x + 2 tan x + tan3x
Mars2501 [29]
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                   0 = cos(x)         or         0 = 1 + tan²(x)
         cos⁻¹(0) = cos⁻¹(cos(x))    or   -1 = tan²(x)
                 90 = x           or            √-1 = √tan²(x)
                                                         i = tan(x)
                                                      (No Solution)

2. sin(x)[tan(x)cos(x) - cot(x)cos(x)] = 1 - 2cos²(x)
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                  √tan²(x) = √(-1 + sec²(x))
                     tan(x) = √(-1 + sec²(x))
            tan⁻¹(tan(x)) = tan⁻¹(√(-1 + sec²(x))
                             x = 0
5 0
3 years ago
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Answer:

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Step-by-step explanation:

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or 456327 (6/6) + 76054.5 (1/6) =532381.5

3 0
3 years ago
Factor the expression 2x^2-5x-3
adell [148]

Answer:

(2x+1)(x-3) is the factorized form of the given expression

Step-by-step explanation:

=2x^2-5x-3

By using sum and product rule

=2x^2-6x+1x-3

By taking common

=2x(x-3)+1(x-3)

=(2x+1)(x-3)

I hope this will help you :)

5 0
3 years ago
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