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2 years ago

12

All the members of a construction crew work at the same pace. Six of them working together are able to pour foundation in 22 hou

rs. How many hours would this job take if the number of workers: increased 4 times

1 answer:

Sholpan [36]2 years ago

5 0

Five and a half hours

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2/7 find the reciprocal

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7/2 is the reciprocal of 2/7

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3 years ago

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3. Ricky buys some packs of gum (x) that cost $1.50 and some jawbreakers (y) that cost $ 50.

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3 years ago

What is the percentage of 204 over 1015, 1 over 8120, 1 over 5832, and 1 over 6?

Basile [38]

Answer:

204/1015 (irreducible) = 20.1%

1/8120 (irreducible) = 0.01232%

1/5832 (irreducible) = 0.01715%

1/6 (irreducible) = 16.67%

Step-by-step explanation:

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3 years ago

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BlackZzzverrR [31]

Answer:

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos( 3x - \frac{\pi }{3} ) = cos (\frac{\pi }{6} )$

$3x - \frac{\pi }{3} = \frac{\pi }{6}$

$3x - \frac{\pi }{3 } + \frac{\pi }{3} = \frac{\pi }{6} + \frac{\pi }{3}$

$3x = \frac{2\pi +\pi }{6} = \frac{3\pi }{6} = \frac{\pi }{2}$

$x = \frac{\pi }{6}$

<u><em>Step(ii)</em></u>:-

The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

<u><em>verification </em></u>:-

$cos( 3x - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

put $x = \frac{\pi }{6}$

$cos( 3(\frac{\pi }{6}) - \frac{\pi }{3} ) = \frac{\sqrt{3} }{2}$

$cos (\frac{\pi }{6} ) = \frac{\sqrt{3} }{2} \\\\\frac{\sqrt{3} }{2} = \frac{\sqrt{3} }{2}$

Both are equal

∴The solution of the given trigonometric equation

$x = \frac{\pi }{6}$

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2 years ago

Express 75 as prodict of prime factor

olganol [36]

75 = 1 x 75, 3 x 25,

or

75 = 3 xx 5^(2)

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2 years ago