1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alenkinab [10]
2 years ago
8

If all of the diagonals are drawn from a vertex of a quadrilateral, how many triangles are formed?

Mathematics
1 answer:
sergij07 [2.7K]2 years ago
8 0

Answer:

4

Step-by-step explanation:

From the chioces give it would be 4

But it is actually 8

You might be interested in
Express it in slop-intercept form​
prisoha [69]

Answer:

y = ½x -3

Step-by-step explanation:

_____________________

5 0
3 years ago
Find the complex fourth roots of 81(cos(3pi/8) + i sin(3pi/8))
BartSMP [9]
By using <span>De Moivre's theorem:
</span>
If we have the complex number ⇒ z = a ( cos θ + i sin θ)
∴ \sqrt[n]{z} =  \sqrt[n]{a} \ (cos \  \frac{\theta + 360K}{n} + i \ sin \ \frac{\theta +360k}{n} )
k= 0, 1 , 2, ..... , (n-1)


For The given complex number <span>⇒ z = 81(cos(3π/8) + i sin(3π/8))
</span>

Part (A) <span>find the modulus for all of the fourth roots
</span>
<span>∴ The modulus of the given complex number = l z l = 81
</span>
∴ The modulus of the fourth root = \sqrt[4]{z} =  \sqrt[4]{81} = 3

Part (b) find the angle for each of the four roots

The angle of the given complex number = \frac{3 \pi}{8}
There is four roots and the angle between each root = \frac{2 \pi}{4} =  \frac{\pi}{2}
The angle of the first root = \frac{ \frac{3 \pi}{8} }{4} =  \frac{3 \pi}{32}
The angle of the second root = \frac{3\pi}{32} +  \frac{\pi}{2} =  \frac{19\pi}{32}
The angle of the third root = \frac{19\pi}{32} +  \frac{\pi}{2} =  \frac{35\pi}{32}
The angle of the  fourth root = \frac{35\pi}{32} +  \frac{\pi}{2} =  \frac{51\pi}{32}

Part (C): find all of the fourth roots of this

The first root = z_{1} = 3 ( cos \  \frac{3\pi}{32} + i \ sin \ \frac{3\pi}{32})
The second root = z_{2} = 3 ( cos \  \frac{19\pi}{32} + i \ sin \ \frac{19\pi}{32})

The third root = z_{3} = 3 ( cos \  \frac{35\pi}{32} + i \ sin \ \frac{35\pi}{32})
The fourth root = z_{4} = 3 ( cos \  \frac{51\pi}{32} + i \ sin \ \frac{51\pi}{32})
7 0
3 years ago
For the function y = 3x^2 - 12x + 4, what is the mirror point for the y-intercept? Give your answer in (x,y) point form.
saveliy_v [14]

Answer:

Your in Pacyber aren't you? Mr. Breux class? Anyway the answer is (0,-4)

Step-by-step explanation:

The y intercept is (0,-4)

6 0
3 years ago
After establishing x how would I find DKH
Nookie1986 [14]
The sum of the 2 angles will add up to 180°
8 0
3 years ago
Hey can you please help me posted picture of question
sasho [114]
The correct answer is option D.

F(G(x)) denotes the composition of the two functions F(x) and G(x). The composition of two functions result in x, if the two functions are inverses of each other. So in this case F(x) and G(x) will be the inverse of each other. So option D is the correct answer.
7 0
3 years ago
Other questions:
  • What is the LCD of 2/5 and 1/10 ?
    10·1 answer
  • The endpoints of are A(1, 4) and B(6, -1). If point C divides in the ratio 2 : 3, the coordinates of C are
    12·1 answer
  • Please help me out! I tried to do it but I got it wrong.
    5·1 answer
  • The order of precedence is very important when building formulas in Excel. Which of the following formulas will produce 778 as t
    15·1 answer
  • Cos(x)= 9/7. What does x equal?
    15·1 answer
  • If n = 6 and p =2, what is 3n + 2p ?
    15·2 answers
  • Assume that the ages for first marriages are normally distributed with a mean of 26 years and a standard deviation of 4 years. W
    15·1 answer
  • Somebody, please help! This is my exam.
    12·2 answers
  • Damian recorded the grade-level and instrument of everyone in the middle school School of Rock below.
    6·1 answer
  • Hint
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!