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lesantik [10]
3 years ago
13

If tan⁡ x= root of 3, and 180°

Mathematics
1 answer:
BartSMP [9]3 years ago
5 0

Answer:

\dfrac{1}{2}

Step-by-step explanation:

If 180^{\circ} then angle x is in the III quadrant.

Since \tan x=\sqrt{3}, then x=240^{\circ}\ [180^{\circ}+60^{\circ}] (we get angle in the III quadrant)

Consider \sin (x-210^{\circ}).

If x=240^{\circ}, then

\sin (240^{\circ}-210^{\circ})\\ \\=\sin 30^{\circ}\\ \\=\dfrac{1}{2}

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Select yes or no to indicate whether a zero must be written in the dividend to find the quotient
neonofarm [45]

Answer:

2.25 divided by 0.6 : Yes and 5.2 divided by 8, 3.63 divided by 3, 71.1 divided by 9 : No

Step-by-step explanation:

We have that when two numbers are divided, they can be written in the form \frac{p}{q}, where p is the dividend and q is the divisor.

Now, when we divide 5.2 by 8, we can write \frac{5.2}{8}

Also, the division 3.63 by 3, can be written as \frac{3.63}{3} = 1.21

Further, when we divide 71.1 by 3, we can write \frac{71.1}{3} = 23.7

We can see that above divisions are easy divisions and do not require to write any type of 0 in the numerator.

Moreover, when we divide 2.25 by 0.6, we can write \frac{2.25}{0.6} = \frac{2.25\times 10}{6}.

So, we get that in the last division, we need to write a zero in order to multiply the numerator with 10 for easy division.

Hence, 2.25 divided by 0.6 : Yes and 5.2 divided by 8, 3.63 divided by 3, 71.1 divided by 9 : No

3 0
3 years ago
If f(x)= x-3/x , g(x)=x+3 , and h(x)=2x+1 , what is (g*h*f)(x) ?
alexgriva [62]

Answer:

Option B is correct

Step-by-step explanation:

We need to find g(h(f(x))

We first find h(f(x))

f(x) = x-3/x

Putting value of f(x) in place of x in h(x)

h(x) = 2x+1

h(f(x)) = 2(x-3/x) + 1

         = 2(x-3/x) + 1

         = 2x -6 /x +1

         = 2x-6 +x/x

         = 3x-6/x

Now, putting value of h(f(x)) in g(x)

g(x) = x+3

g(h(f(x)))= (3x-6/x) + 3

            = 3x-6/x + 3

            = 3x-6+3x/x

            = 6x-6/x  

So, Option B is correct.

6 0
3 years ago
Determine the next three terms in the following sequence: 1, 8, 27, 64,____, ____, ____,...
Dovator [93]
Hello,

Answer D
x_{n} =n^3\\
 x_{1} =1^3=1\\
 x_{2} =2^3=8\\
 x_{3} =3^3=27\\
 x_{4} =4^3=64\\
 x_{5} =5^3=125\\
 x_{6} =6^3=216\\
 x_{7} =7^3=343\\

4 0
3 years ago
Read 2 more answers
Determine whether the graph represents a proportional relationship. A graph is shown. The x-axis is labeled from 0 to 9. The y-a
brilliants [131]
Propportinal
means that the points are inproportion
ratios
1:3=2:6=3:7
1/3=2/6=3/7
1/3=1/3=3/7
false
therefor it is not poropoortional

another way is to graph the points and see if a straight line can go though all of them
it can go thoruhg the first 3 but not eh 4th pont (3,7)


not proportional
7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST<br> Write the product using exponents. (−9)⋅(−9)⋅(−9)⋅(−9)⋅(−9)
Daniel [21]

Answer:

-9^5

Step-by-step explanation:

(-9)*(-9)*... is -9^5

Please mark as Brainliest! :)

Have a nice day.

7 0
3 years ago
Read 2 more answers
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