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
ziro4ka [17]
3 years ago
15

Find the measures of two angles, one positive and one negative, that are coterminal with

ac%7B%5Cpi%7D%7B5%7D" id="TexFormula1" title="\frac{\pi}{5}" alt="\frac{\pi}{5}" align="absmiddle" class="latex-formula">.
a. \frac{11\pi}{5} ; \frac{-9\pi}{5} \\b. \frac{\pi}{5} + 360^o ; \frac{\pi}{5} - 360^o \\c. \frac{6\pi}{5} ; \frac{-4\pi}{5} \\d. \frac{11\pi}{5} ; \frac{-\pi}{5}

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0

Answer:

a. 11/5 pi; -9/5 pi

Step-by-step explanation:

Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).

From the example we can see that the following expressions must be fulfilled:

positive angle - reference angle = 360°

reference angle - negative angle = 360°

where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,

positive angle - pi/5 = 2 pi

positive angle = 2 pi + pi/5

positive angle = 11/5 pi

pi/5 - negative angle = 2 pi

negative angle = pi/5 - 2 pi

negative angle = -9/5 pi

You might be interested in
The circumstances of a circular painting is 9.42 feet what is the diameter of the painting use pi
pshichka [43]
R2= 4.71
3.14x 4.71x4.71= 69.65
4 0
3 years ago
My math teacher gave me this problem, what is p+7=-9
marshall27 [118]

P = -16

Subtract 7 from both sides to isolate the variable.

3 0
3 years ago
Maggie is displaying paperback and hardback books on her book shelf. The ratio of hardback books to total books is 5 to 13. Whic
lubasha [3.4K]

Answer:

Total Paperback books = 8x , where x is any positive number

Step-by-step explanation:

Let

The total books are = 13x   ; where x is any positive number

As given,

The ratio of hardback books to total books is 5 to 13.

⇒Hardback books = \frac{5}{13}× Total books

⇒Hardback books = \frac{5}{13}× 13x = 5x

So, Paperback books = Total books - Hardback books

                                    = 13x - 5x

                                    = 8x

⇒Total Paperback books = 8x

8 0
3 years ago
FREE 11 POINTS<br>i will mark brainsit if i see crown ​
Fofino [41]

Answer:

meeeeeeeeeeeeeeeeeeee

5 0
3 years ago
Read 2 more answers
Use the drop-down menus to complete the statements about Euler's life after he lost his sight. After the cataract took Euler's s
Sav [38]

Answer: after the cataract took Euler’s sight he wrote more books and articles. He wrote 450 books after he lost his eye sight.

Step-by-step explanation:

Got it correct on edge.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Lin is paid $90 for 5 hours of work. She used the following table to calculate how much she would be paid at this rate for 8 hou
    8·1 answer
  • My dividend is 8 times as large as my divisor I'm an even number less than 15 what quotient am I
    6·2 answers
  • Which choice shows the best estimate of the product 0.48×591
    13·2 answers
  • Give a power series representation for the function f(x) x^3/(1 + 9x^2)
    6·1 answer
  • What equation demonstrate that the set of polynomials is not closed under the certain operations
    14·1 answer
  • 17) -8 square root 128
    10·2 answers
  • What is the answer to 50-43+(6x8)-9+3 and how do you solve it?
    10·2 answers
  • Find the ratio a:b if it is givin that a/3 = b/4
    9·1 answer
  • Use the formula for simple interest to find the interest rate if a deposit of $1400 earned $490 of interest after 5 years,
    9·1 answer
  • Yesterday, Gordon had 128 baseball cards. Today, he got d more. Using d, write an expression for the total number cards he has n
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!