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KiRa [710]
3 years ago
11

Determine an exact value for sin _ 3π/4-tan 5π/6

Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

Answer:

\frac{3\sqrt{2}+2\sqrt{3}}{6} or \frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}

Step-by-step explanation:

\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}

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Alexeev081 [22]
It should be 40







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3 years ago
Two students in your class, Tucker and Karly, are disputing a function. Tucker says that for the function, between x = -3 and x
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3 0
3 years ago
The model represents x2 – 9x + 14.
Stels [109]

Factorize the quadratic trinomial x^2 - 9x + 14 by the rule:

ax^2+bx+c=a(x-x_1)(x-x_2), \text{ where } x_1,\ x_2 \text{ are its roots. }

1. Find the roots:

D=(-9)^2-4\cdot 14=81-56=25,\ \sqrt{D}=5,\\ \\ x_1=\dfrac{9-5}{2}=2,\ x_2=\dfrac{9+5}{2}=7.

2. Factorize the polynomial:

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3. Only factor x-2 is given in options, then the correct choice is B.

6 0
3 years ago
Read 2 more answers
What is n?
lutik1710 [3]

the answer is 16

because the others dont make much sense

7 0
3 years ago
Need help with this math question
Y_Kistochka [10]

Answer:

23%

Step-by-step explanation:

There are 4 male and 3 female freshmen. Thus the total number of freshmen is 7.

On the other hand, we have 14 male students and 16 female students. Thus the total number of students is 30.

If a student is selected at random, the probability that the student is a freshman is;

( 7/30) * 100 = 23.33%

3 0
4 years ago
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