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Westkost [7]
3 years ago
9

Using the unit circle, what is the exact value of tan pi/6?

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Answer:

1/root(3)

Step-by-step explanation:

the steps are in the pic above.

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What are the zeros of the function f(x) = x2 + 8x + 4, expressed in simplest radical form?
klio [65]

Answer:

x = -4 ± 2√3

Step-by-step explanation:

6 0
3 years ago
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Does the table show a direct proportional relationship? If so, what is the constant of proportionality?
lesantik [10]

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality (k) is described by the following expression:

k = \frac{y}{x} (1)

Where:

x - Input.

y - Output.

If we know that (x_{1}, y_{1}) = (13, 45.5), (x_{2}, y_{2}) = (14, 49) and (x_{3}, y_{3}) = (15, 52.5), then the constants of proportionalities of each ordered pair are, respectively:

k_{1} = \frac{y_{1}}{x_{1}}

k_{1} = \frac{45.5}{13}

k_{1} = \frac{7}{2}

k_{2} = \frac{y_2}{x_2}

k_{2} = \frac{49}{14}

k_{2} = \frac{7}{2}

k_{3} = \frac{y_{3}}{x_{3}}

k_{3} = \frac{52.5}{15}

k_{3} = \frac{7}{2}

Since k_{1} = k_{2} = k_{3}, the constant of proportionality is 3.5.

8 0
3 years ago
A gift box has the shape of a cube with an edge length of 4.5 in.
DIA [1.3K]

Answer:

4.5 times 4.5 times 4.5 = 91.125

Step-by-step explanation

To find the volume you do v= length times width times height.

6 0
3 years ago
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Write (x+1)÷x-(y+1)÷y as a simplified fraction ​
mina [271]

Answer:

\frac{y-x}{xy}

Step-by-step explanation:

y - x / xy

8 0
3 years ago
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If f(x) = x2 + 4x - 12, find f(2).
Illusion [34]

Answer:

-3

Step-by-step explanation:

Please write this as  f(x) = x^2 + 4x - 12.  "x^2" represents "the square of x."

f(2) is the value of this function when x = 2:

f(2) =  f(2) = (2)^2 + 4(2) - 12  =  9 - 12 = -3

7 0
4 years ago
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