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Elenna [48]
3 years ago
15

Tan x = -0.25 for 0< x < 720​

Mathematics
1 answer:
grigory [225]3 years ago
3 0

Answer:

Below in bold.

Step-by-step explanation:

The smallest angle for which -0.25 is the tangent is in the  second quadrant and is 165.96 degrees. The other angle in the fourth quadrant is 345.96 degrees.

So for the range 0 to 720, x = 165.96, 345.96 and  360 + 165.96 = 525.96 and 345.96+360 = 705.96 degrees.

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One mirror is to be in the shape of a triangle whose height is 6 feet less than twice the base of the mirror. If the mirror has
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Step-by-step explanation:

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height is 6 feet less than twice the base of the mirror

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Height (h) = 2x-6

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Now we know that mirror is in triangular shape so we will apply area of triangle formula to find base and height.

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108=\frac{1}{2} \times x \times(2x-6)\\\\108=\frac{1}{2}\times x \times 2(x-3)\\\\108=x(x-3)\\\\108=x^2-3x\\\\x^2-3x-108=0

Now we will find the roots of x by factorizing the equation we get;

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Now we will solve for 2 values of x we get;

x-12=0\\\\x=12\ ft\\\\Also;\\\\x+9=0\\\\x=-9\ ft

Now we get 2 values of 'x' one positive and one negative.

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Hence;

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Hence Base of the mirror is 12 feet and height of the mirror is 18 feet.

7 0
3 years ago
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