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larisa [96]
3 years ago
12

Can someone help me?

Mathematics
1 answer:
mestny [16]3 years ago
6 0

Answer:

Step-by-step explanation:

To do this, we must use the unit circle. At the angle \frac{\pi }{6} the coordinate pair is (\frac{\sqrt{3} }{2}, \frac{1}{2}) and the hypotenuse is 1

Now that we know these we can start using the trig functions

sin = y

cos = x

tan = \frac{y}{x}

And the other functions would be the reciprocal of these

csc = \frac{1}{y}

sec = \frac{1}{x}

cot = \frac{x}{y}

This would mean that

sinx = \frac{1}{2}

cosx =\frac{\sqrt{3} }{2}

tanx =\frac{1}{\sqrt{3} } or \frac{\sqrt{3} }{3} if you're supposed to rationalize your denominators

cscx = 2

secx = \frac{2}{\sqrt{3} } or \frac{2\sqrt{3} }{3}

cot = \sqrt{3}

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Caleb bought some snacks at the store that cost a total of $9.38. If Caleb paid with a $20 bill, how much change did he get back
Lera25 [3.4K]

Answer:

10.62

Step-by-step explanation:

20- 9.38 = 10.62

6 0
3 years ago
The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the orig
Novay_Z [31]

Answer:

\$68.20

Step-by-step explanation:

81.05 \times (1-10\%) \times (1-6.5\%)

81.05\:\times \left(1-\frac{10}{100}\right)\:\times \left(1-\frac{6.5}{100}\right)

81.05\:\times \left(0.9)\:\times \left(0.935)

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3 years ago
Helppppp please answer 30 pointssss
Margarita [4]

Answer:

\frac{x}{3}  =  \frac{7x}{12x - 15}  \\ 12 {x}^{2}  - 15x = 21x \\ 12 {x}^{2}  -36x = 0 \\  12x(x - 3) = 0 \\ \boxed{x = 0} \: or \: \boxed{x = 3} \\  \\  \frac{25 - 3x}{x + 5}  = 1 \\ 25 - 3x = x + 5 \\ 3x + x = 25 - 5 \\ 4x = 20 \\ \boxed{ x = 5} \\  \\  \frac{3x - 2}{x}  =  -  \frac{8}{x}  \\ 3 {x}^{2}  - 2x =  - 8x \\  3 {x}^{2}  -6x = 0 \\ 3x(x - 2) = 0 \\ \boxed{x = 0} \: or \: \boxed{x = 2} \\  \\  \frac{3 - x}{x}  =  \frac{x + 1}{2x}  \\ 6x - 2 {x}^{2}  =  {x}^{2}  + x \\ 3 {x}^{2}  - 5x = 0 \\ x(3x - 5) = 0 \\  \boxed{x = 0} \: or \: \boxed{x =  \frac{5}{3} }

3 0
3 years ago
Michael graphs the equations y=-1/2x+4 and y = x + 1 to solve the equation -1/2x+4=x+1. His graph is shown below.
Tamiku [17]
The answer is c. X=2
3 0
3 years ago
Read 2 more answers
If the midpoint of line segment what?
ioda

We can use the midpoint formula to find our answer, which is \Bigg(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2}\Bigg), where (x_1, y_1) and (x_2, y_2) are endpoints of a line.


In this case, we can substitute information we know into the problem to find our answer. We already know one of the coordinates and what the midpoint is, meaning that we can obtain the expression:

\Bigg(\dfrac{0 + x_2}{2}, \dfrac{4 + y_2}{2}\Bigg) = (-2, 10)


We should now solve our problem by setting the first part of the first coordinate with the first part of our midpoint and by setting the second part of the coordinate with the second part of our midpoint, like this:

\dfrac{0 + x_2}{2} = -2 and \dfrac{4 + y_2}{2} = 10


Now, solve each expression independently:

\dfrac{0 + x_2}{2} = \dfrac{x_2}{2} = -2

x_2 = -4


\dfrac{4 + y_2}{2} = 10

4 + y_2 = 20

y_2 = 16


Our second coordinate, endpoint N, is (-4, 16). The answer is C.

3 0
3 years ago
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