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
mel-nik [20]
3 years ago
11

the sum of the internal angles of a regular polygon is equivalent to 56 right angles. Find the measure of the central angle of t

he polygon
Mathematics
1 answer:
kykrilka [37]3 years ago
7 0
If x is the number of sides of the regular polygon, then the sum of the interior angles is (x - 2) * 180 = 56 * 90. Solving for x gives 30 for the number of sides of the regular polygon.

To get the central angles measure, divide 360 by 30 to get 12 degrees for the measure of one of the 30 central angles.

Answer: 12 degrees
You might be interested in
I dont understand<br> help please!!!
shutvik [7]
Answer: I

Why?
(A-p)/p= I
6 0
2 years ago
Integral of 17/(x^3-125)
daser333 [38]

Answer:

17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

Step-by-step explanation:

∫ 17 / (x³ − 125) dx

= 17 ∫ 1 / (x³ − 125) dx

= 17 ∫ 1 / ((x − 5) (x² + 5x + 25)) dx

Use partial fraction decomposition:

= 17 ∫ [ A / (x − 5) + (Bx + C) / (x² + 5x + 25) ] dx

Use common denominator to find the missing coefficients.

A (x² + 5x + 25) + (Bx + C) (x − 5) = 1

Ax² + 5Ax + 25A + Bx² − 5Bx + Cx − 5C = 1

(A + B) x² + (5A − 5B + C) x + 25A − 5C = 1

Match the coefficients and solve the system of equations.

A + B = 0

5A − 5B + C = 0

25A − 5C = 1

A = 1/75

B = -1/75

C = -2/15

So the integral is:

= 17 ∫ [ 1/75 / (x − 5) + (-1/75 x − 2/15) / (x² + 5x + 25) ] dx

Simplify:

= 17/75 ∫ [ 1 / (x − 5) − (x + 10) / (x² + 5x + 25) ] dx

Factor ½ from the numerator of the second fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 20) / (x² + 5x + 25) ] dx

Split the fraction:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − ½ (15) / (x² + 5x + 25) ] dx

Multiply the last fraction by 4/4:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 30 / (4x² + 20x + 100) ] dx

Complete the square:

= 17/75 ∫ [ 1 / (x − 5) − ½ (2x + 5) / (x² + 5x + 25) − 15 / ((2x + 5)² + 75) ] dx

Split the integral:

= 17/75 ∫ 1 / (x − 5) dx − 17/150 ∫ (2x + 5) / (x² + 5x + 25) dx − 17/5 ∫ 1 / ((2x + 5)² + 75) dx

The first integral is:

∫ 1 / (x − 5) dx = ln│x − 5│

The second integral is:

∫ (2x + 5) / (x² + 5x + 25) dx = ln(x² + 5x + 25)

The third integral is:

∫ 1 / ((2x + 5)² + 75) dx = 1/√75 tan⁻¹((2x + 5) / √75)

Plug in:

= 17/75 ln│x − 5│− 17/150 ln(x² + 5x + 25) − 17/(5√75) tan⁻¹((2x + 5) / √75) + C

4 0
3 years ago
The expression 60(0.75)^x represents the amount of a drug in milligrams that remains in the bloodstream after x hour. What was t
kogti [31]
It would be 60.

a(b)^x
Since a/ 60 would represent initial value.
7 0
3 years ago
Use the quadratic formula to find the solutions for..<br> y = 2x^2 - 9x + 5.
Yakvenalex [24]

Answer: x=\frac{9}{4}-\frac{\sqrt{41} }{4}  \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}

Step-by-step explanation:

2x^2-9x+5

a=2

b=-9

c=5

x=\frac{-b\frac{+}{}\sqrt{b^2-4ac}  }{2a}

x=\frac{-(-9)\frac{+}{}\sqrt{(-9)^2-4(2)(5)}  }{2(2)}

x=\frac{9\frac{+}{}\sqrt{81-40}  }{4}

x=\frac{9\frac{+}{}\sqrt{41}  }{4}

x=\frac{9}{4}-\frac{\sqrt{41} }{4}  \\x=\frac{9}{4}+\frac{\sqrt{41} }{4}

4 0
3 years ago
The data below are the number of absences and the final grades of 9 randomly selected students from a literature class. find the
Natasha2012 [34]
I don't know. I apologize. 
6 0
3 years ago
Other questions:
  • 4t + 1/4=3 first answer will get brainliest
    8·2 answers
  • Evaluate expression 6+3+2?
    6·2 answers
  • Reciprocal of 10 1/2
    13·2 answers
  • Suppose c and d vary inversely, and d = 2 when c = 17.
    10·1 answer
  • 16 points PLZ HELP which equation represents the function graphed on the coordinate plane
    10·2 answers
  • What is 2.4 in rational form
    11·1 answer
  • Compared to women in the North, women in the South during the Civil War often
    13·2 answers
  • Solve for x in the triangle
    13·1 answer
  • The mean waiting time at the drive-through of a fast food from the time the order is placed to the time the order is recieved is
    15·1 answer
  • Select the correct answer.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!