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3 years ago

Find the exact value of tan 150° in simplest form with a rational denominator.

Mathematics

1 answer:

Ainat [17]3 years ago

7 0

Step-by-step explanation:

tan150°

= -tan30°

= -√3/3.

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The equation of a proportional relationship is of the form y=kx, where k is a positive number, and the graph is a line through (

laila [671]

9514 1404 393

Answer:

see attached

Step-by-step explanation:

The graph of a line with negative slope goes down to the right. The line would still go through the origin. An example is attached.

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3 years ago

On a field trip a 6th grade class traveled 19.95 kilometer by train, 7 kilometer by bus and 2.3 kilometer by car. How far did th

CaHeK987 [17]

19.95 + 7 + 2.3 = 29.25 kilometers

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3 years ago

I need help ASAP ASAP plz someone help me plz plz plz

anyanavicka [17]

Answer:

Rate of change = 0.5

Initial value = 120

Step-by-step explanation:

(10 , 125) ; (30 , 135)

Slope = $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{135-125}{30-10}\\\\= \frac{10}{20}\\\\= \frac{1}{2}\\= 0.5$

Rate of change = 0.5

Initial value = 120

4 0

3 years ago

Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

$f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.$

8 0

4 years ago

Read 2 more answers

The area of a circle, in terms of

ch4aika [34]

Answer:

30m

Step-by-step explanation:

A=πr²

225π=πr²

225=r²

r=√225

r=15

d=2r

d=2×15

=30m

3 0

3 years ago