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tamaranim1 [39]
2 years ago
9

Solve the equations below exactly. Give your answers in radians, and find all

Mathematics
1 answer:
kotegsom [21]2 years ago
8 0

Answer:

See below (along with unit circle attached)

Step-by-step explanation:

sin(t)=-\frac{\sqrt{3}}{2}

t=\frac{4\pi}{3},\frac{5\pi}{3}

cos(t)=\frac{1}{2}

t=\frac{\pi}{3},\frac{5\pi}{3}

It really helps to use the unit circle! I've attached it below for your convenience. Keep in mind that a point on the unit circle is defined by (cos(\theta),sin(\theta)) where \theta is measured in radians.

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In a class there are 25 students 15 are boys what percentage are girls​
tankabanditka [31]

Answer:

40%

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Total students = 25

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7 0
3 years ago
Houw would i factor this problem out completely?
kvasek [131]
You can factor out a 3t first, resulting in:
3t(2t^2+3t-5)

Now, let's factor the equation in the middle using the quadratic equation. Plug in the values to the quadratic equation:
\frac{-3\pm \sqrt{3^2-4(2)(-5)}}{2(2)} = -\frac{3\pm \sqrt{49}}{4} = -\frac{3\pm 7}{4}

Simplify, you get your x's:
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To write the equation in simplified form, you just write it this way:
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3 0
3 years ago
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How many solutions does this equation have? -4(5-3x)=12x+20​
UNO [17]

Answer:  The number of solutions to the given equation is zero.

Step-by-step explanation:  We are given to find the number of solutions to the following equation :

-4(5-3x)=12x+20~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the number of solutions, we must solve the given equation.

The solution of equation (i) is as follows :

-4(5-3x)=12x+20\\\\\Rightarrow 5-3x=\dfrac{12x+20}{-4}\\\\\Rightarrow 5-3x=-3x-5\\\\\Rightarrow -3x+3x=-5-5\\\\\Rightarrow 0=-10, which can never be possible.

So, the given equation has no solution.

Thus, the number of solutions to the given equation is zero.

3 0
4 years ago
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