Answer:
I believe it's B
Step-by-step explanation:
Answer:
Answer - D) 30/35
Step-by-step explanation:
The definition of quotient is the result of the the two numbers you divide.
All the choices except D are above the number 1
You can also tell that if it's greater or less than one by the numbers that are being divided.
Any number being divided by a number less in value will always result in either 1 or greater. Hence 8 divided by 5, 20 divided by 16, and 25 divided by 10
Any number that is being divided by a number greater than its value will be less than one. Hence 30 divided by 35
Answer:
So x = 20
Step-by-step explanation:
AB + BC = AC sum of a segment is sum of its pieces
AB + AB = AC B is the midpoint, so AB = BC
2x + 2x = 3x + 20 putting in for AB (twice!) and AC
4x = 3x + 20 collect like terms
x = 20 subtract 3x on both sides.
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tan( 20 ) + 4 Sin( 20 ) =
( Sin( 20 ) / Cos( 20 ) ) + 4 Sin( 20 ) =
Sin( 20 ) + 4 Sin( 20 ).Cos( 20 ) / Cos( 20 ) =
Sin( 20 ) + 2 × <u>2 Sin(20).Cos(20)</u>/ Cos(20) =
Sin( 20 ) + 2 × <u>Sin( 40 )</u><u> </u>/ Cos( 20 ) =
Sin( 20 ) + 2<em>Sin( 40 )</em> / Cos( 20 ) =
Sin( 20 ) + 2<em>C</em><em>o</em><em>s</em><em>(</em><em> </em><em>5</em><em>0</em><em> </em><em>)</em><em> </em>/ Cos ( 20 ) =
Sin( 20 ) + 2Cos( 20 + 30 ) / Cos( 20 ) =
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2 × Cos( 30 + 20 ) =
2 × [ Cos(30).Cos(20) - Sin(30).Sin(20) ] =
2 × [ √3/2 × Cos(20) - 1/2 × Sin(20) ] =
√3 Cos(20) - Sin(20)
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Sin( 20 ) + <em>2Cos ( 20 + 30 ) </em>/ Cos( 20 ) =
Sin( 20 ) + <em>√</em><em>3</em><em> </em><em>C</em><em>o</em><em>s</em><em>(</em><em>2</em><em>0</em><em>)</em><em> </em><em>-</em><em> </em><em>S</em><em>i</em><em>n</em><em>(</em><em>2</em><em>0</em><em>)</em><em> </em>/ Cos(20) =
Sin(20) - Sin(20) + √3 Cos(20) / Cos(20) =
0 + √3 Cos(20) / Cos(20) =
√3 Cos(20) / Cos(20) =
Cos(20) simplifies from the numerator and denominator of fraction
√3 × 1 / 1 =
√3
And we're done ....