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
Leviafan [203]
3 years ago
13

Type the correct answer for each.

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0
If point \left(x,\ \frac{\sqrt{7}}{3}\right) is on the unit ircle, then:

x^2+\left( \frac{ \sqrt{7} }{3} \right)^2=1 \\  \\ \Rightarrow x^2+ \frac{7}{9} =1 \\  \\ \Rightarrow x^2=1- \frac{7}{9} = \frac{2}{9}  \\  \\ \Rightarrow x= \sqrt{ \frac{2}{9} } = \frac{ \sqrt{2} }{3}

Since, the point is in the second quadrant, x is negative.

Thus, (x,\ y)=\left(x,\ \frac{\sqrt{7}}{3}\right)=\left(-\frac{ \sqrt{2} }{3},\ \frac{\sqrt{7}}{3}\right)

Part A:

3 \sqrt{7} =6\left( \frac{ \sqrt{7} }{2} \right) \\  \\ =6\left( \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \right) \\  \\ =6\left( \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } \right)=-6\left( \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } \right) \\  \\ =-6\left( \frac{y}{x} \right)=-6\tan\theta

Therefore, -6\tan\theta=3\sqrt{7}.



Part B:

- \frac{ \sqrt{7} }{2} =- \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} }  \\ \\ =- \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } = \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } = \frac{y}{x}  \\  \\ =\tan\theta

Therefore, \tan\theta=- \frac{ \sqrt{7} }{2}
You might be interested in
F(x)= x + 3 find f(-5)​
sesenic [268]

Answer:

f(-5) = -2

Step-by-step explanation:

f(-5) = -5 + 3

       = -2

*Have to replace x with -5 and then solve

3 0
3 years ago
Which of the following could be the side measures of a right triangle?
Anastasy [175]

Answer:

I don't know

Step-by-step explanation:

I'm just downloaded it

7 0
3 years ago
Read 2 more answers
Please help on this equation: 7s+20=4s-13. and please if you can, show your work. Thank You!
jonny [76]
7s + 20 = 4s -13
7s - 4s = -13 -20
3s = -33
s = -33/3
s = -11
6 0
3 years ago
A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during
Anuta_ua [19.1K]
This regular polygon, having eight sides and 45º angle in similar parts, when rotating 360º, will find a similar image and a similar angle of 45º, therefore dividing the angle of 360º by 45º will be the Number of coincidences<span> in image.

</span><span>Solving, thus, we have:
</span>\frac{360}{45} = \boxed{\boxed{8\:coincidences\:in\:image}}\end{array}}\qquad\quad\checkmark<span>



</span>
4 0
3 years ago
Read 2 more answers
Part A. Solve -np - 80 &lt; 60 for 'n'. Show your work.
skelet666 [1.2K]
Part A: 
- np -80 <60
Adding 80 both sides
- np < 140
Dividing by -p both sides
n > -140/p
Part B:
2a - 5d =30
5d = 2a-30
d= (2a-30)/5
5 0
3 years ago
Other questions:
  • What is 12(x+9)=-108
    14·2 answers
  • The Art Club decided to sell t-shirts in order to pay for their field trip to a nearby museum. They started with 460 t-shirts an
    9·1 answer
  • Ben can type 153 words in 3 minutes.<br> At this rate,How many words can he type in 10 minutes?
    15·2 answers
  • 25% of the items were on sale. There were 120 items How many were on sale?
    5·2 answers
  • Factor 3x^2y^2 − 2xy^2 − 8y^2. Show your work.
    14·1 answer
  • Help me pls this quizz is pasti t due date!!!!!!!!!!!!!!!
    12·1 answer
  • What is a double fact
    14·2 answers
  • How to Write 1/4 of an inch as a decimal?
    11·2 answers
  • Find the area of a rectangle with L= 2/1/4 and W= 36 inch (A=LW) ​
    9·2 answers
  • NEED ASAP BEFORE MARCH 11 2021
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!