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3 years ago

Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

7 0

Answer:

sin d = 36/45 = 4/5

sin e = 27/45 = 3/5

cos d= 27/45 = 3/5

cos e = 36/45 = 4/5

Step-by-step explanation:

sin = opposite/ hypotenuse

cos = adjacent/ hypotenuse

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3 years ago

5. Find the discriminant of 15x2 = 4x – 1 and describe

diamong [38]

Answer:

a) The discriminant of the equation = - 44

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Step-by-step explanation:

Here, the given expression is $15x^{2} = 4x -1$

or, $15x^{2} - 4x + 1 = 0$

Now the discriminant (D) of a quadratic equation $ax^{2} +b x + c = 0$

D = $b^{2} - 4ac = (-4)^{2} - 4(15) (1) = 16 - (60) = -44$

Hence, the discriminant of the equation = - 44

As D< 0, so the roots will be imaginary.

Now,by quadratic formula : $x = \frac{-b \pm \sqrt{b^{2} - 4ac} }{2a}$

So, here $x = \frac{-(-4) \pm \sqrt{D} }{2a} = \frac{4 \pm \sqrt{(-44 )} }{30}$

So, either $x = \frac{4 + \sqrt{(-44 )} }{30} or, x = \frac{4 - \sqrt{(-44 )} }{30}$

or, $x = \frac{2 +\sqrt{11} i}{15} or, x = \frac{2 - \sqrt{11} i}{15}$

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3 years ago

3 solutions to y=-5x+1

Luda [366]

Y = -5x + 1

x = 1 , y = -4
x = 2 , y = -9
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so the answers are
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(2,-9)
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3 years ago

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Answer:

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2 years ago

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Answer:

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