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3 years ago

Solve arctan(-sqrt(3))

1 answer:

6 0

We are given with the expression arctan(-sqrt(3)) and asked to evaluate it. In this case, we can use a calculator or the rule of common triangles to answer this question. the value of <span>arctan(-sqrt(3)) is -60. Since negative tan is found in 2nd and 4th quadrant, the angles are 180-60 or 120 degrees and 360-60 or 300 degrees.</span>

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The function f(x) varies inversely with x and f(x)=8 when x=3

Sedaia [141]

Answer:

$12$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form $y*x=k$ or $y=k/x$

In this problem we have

For $x=3$ -----> $f(x)=8$

Find the value of k

$f(x)*x=k$

substitute the value of x and f(x)

$8*3=k$

$k=24$

therefore

the equation is equal to

$f(x)=24/x$

For $x=2$ -------> substitute in the equation and find the value of f(x)

$f(x)=24/2=12$

6 0

2 years ago

Read 2 more answers

The midpoint of AB is M (0, -3). If the coordinates of AA are (2, 1) what are the coordinates of BB?

frez [133]

Answer:

B(-2, -7)

Step-by-step explanation:

Midpoint is (0, -3)

A(x₁, y₁) B(x₂, y₂)

A(2, 1)

$Midpoint = (\frac{x_{1} + x_{2} }{2}, \frac{y_{1} + y_{2} }{2} )\\\\Midpoint = (\frac{2+ x_{2} }{2}, \frac{1 + y_{2} }{2} )$

$(0, -3) = (\frac{2+ x_{2} }{2}, \frac{1 + y_{2} }{2} )$

$\frac{2+ x_{2} }{2} = 0\\\\2 + x_{2} = 0\ \ \ \ times\ both\ sides\ by\ 2\\x_{2} = -2\ \ \ \ subtract\ both\ sides\ by\ 2$

$\frac{1 + y_{2} }{2} = -3\\\\1 + y_{2} = -6\ \ \ \ times\ both\ sides\ by\ 2\\y_{2} = -7\ \ \ \ subtract\ both\ sides\ by\ 1$

∴ B(-2, -7)

6 0

2 years ago

Please help with the question attached. I really need help! Thanks!

horsena [70]

To solve this question you would first multiply all the dimensions of the pillar together. That would be:

2.5 x 2.5 x 12 = 75 square feet

Then you take the weight of the pillar and divide it by the amount of square feet:

12,000 / 75 = 160 pounds per square foot.

7 0

2 years ago

What time is it on this analog clock

elena-s [515]

The time on this analog clock is: 7:31

4 0

3 years ago

Is the statement below always, sometimes, or never true? Give 2 examples to support. LCM of two numbers is the product of the tw

spayn [35]

The statement below is sometimes true. An example of this is with 1 and 2. Their lowest common multiple is 2 and 1 times 2 is 2. So, that's correct. Another example of this is with 2 and 4. Their lowest common multiple is four and 2 times 4 is 2 so that's not always right.

6 0

2 years ago

Read 2 more answers