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
BabaBlast [244]
2 years ago
5

Can an octagon have interior angles that measure 100 degrees, 156 degrees, 125 degrees, 90 degrees, 175 degrees, 160 degrees, an

d 140 degrees? Explain.
Mathematics
1 answer:
worty [1.4K]2 years ago
4 0

9514 1404 393

Answer:

  yes

Step-by-step explanation:

The 7 angles listed have a total of 946 degrees. The total interior angle measure in an octagon is 1080 degrees. So, the remaining angle must have a measure of 134°. The figure is entirely feasible.

You might be interested in
I would really appreciate help with the following, along with work shown so I can understand how these were solved.
Alja [10]

First, you have to know the double angle formula:

sin 2A  =  2 sin A cos A

cos 2A  =  cos² A − sin² A  =  2 cos² A − 1  =  1 − 2 sin² A

tan 2A<span> = 2 tan </span>A<span> / (1 − tan² </span>A)


Next, find the other leg: 17^2-15^=64, √64 is 8, so the unknown leg length is 8.

sinα=15/17, cosα=8/17, tanα=15/8

sinβ=8/17, cosβ15/17, tanβ=8/15

Plug these values in the above formula, you'll have your answers.


For the half angles, know the half-angle formula:

sin(B/2) = ± √<span>(1 − cos B)/2</span>

cos(B/2) = ± √<span>(1 + cos B)/2</span>

tan(B/2)  =  (1 − cos B) / sin B<span>  =  sin </span>B<span> / (1 + cos </span>B)

refer to this website for details:

<span>https://brownmath.com/twt/double.htm
</span>


For the power reduction formula, please search for it. I tried to copy and paste here, but it wouldn't paste. 

for number 4, factor the quadratic equation into (cscx-8)(cscx+1)=0

cscx=8 or cscx=-1

You may not have the csc button on your calculator. Recall that csc is 1/sin, so sinx=1/8 or sinx=-1, so x is either 7.18 or 270 degrees



6 0
3 years ago
What inequality is shown
VMariaS [17]

Answer:

Y ≤ X + 6

Step-by-step explanation:

Not sure if this is correct

3 0
3 years ago
Read 2 more answers
What is the area of the square? Help me pls
Allushta [10]

Answer and Step-by-step explanation:

First, we need to find out the circumference of the circle.

We know that the circle has a radius of 1, and that we are finding the circumference. We'll use the circumference equation of a circle.

2\pir

<u>Plug in 1 for r.</u>

2\pi (1) = 2\pi = circumference of circle

<u>Now, multiply the answer (the circumference) by 4 to get the perimeter of the square.</u>

<u />2\pi x 4 = 8\pi = perimeter of square

<u>Now, divide the perimeter by 4 to get what the side of the square is.</u>

<u />8\pi ÷ 4 = 2\pi

<u>Now, multiply </u>2\pi<u> by </u>2\pi<u> (side times side) to get the area.</u>

2\pi x  2\pi = 4\pi

The answer is A. 4\pi

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

<em><u>I hope this helps!</u></em>

<em><u>Brainliest is appreciated,</u></em>

8 0
3 years ago
What is the percent of change from 5,000 to 9,000?
Paul [167]

Answer:

40%

Step-by-step explanation:

10000 = 5000 = 50% + 9000 = 40%

3 0
3 years ago
Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu
Softa [21]

<u>Answer-</u>

<em>The polynomial function is,</em>

y=x^4-10x^3+38x^2-64x+40

<u>Solution-</u>

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))   ( ∵ (3-i) is the conjugate of (3+i) )

\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)

\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)

\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)

\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)

\Rightarrow y=(x^2-4x+4)(x^2-6x+10)

\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10

\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40

\Rightarrow y=x^4-10x^3+38x^2-64x+40

Therefore, this is the required polynomial function.


4 0
3 years ago
Other questions:
  • THIS ONE IS URGENT I DON'T UNDERSTAND PLEASE HELP ME I WILL GIVE YOU BRAINLIEST/5 stars/Thanks/20 points please help me I would
    13·2 answers
  • I am going to rip my hair out. Can somebody do a word for word step by step explanation for my problem? I will give 98 points I'
    5·1 answer
  • Estimate the area under the curve f(x) = x^2 from x = 1 to x = 5 by using four inscribed (under the curve) rectangles. Answer to
    7·1 answer
  • A railway tunnel 147m long is to be bored with a circular cross section of radius 5m.what volume of soil has to be excavated?
    5·1 answer
  • Four electronic ovens that were dropped during shipment are inspected and classifi ed as containing either a major, a minor, or
    9·1 answer
  • Y= x^2 + 2 Find the slope of tangent line to graph when x= -1
    13·1 answer
  • What is 2x+4<br> dhfbwaehaskjbdjk.sabhdsahdiasebfsdafvasdgdsf
    8·1 answer
  • PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
    10·1 answer
  • The triangles shown are similar. Which angle corresponds to angle E
    5·1 answer
  • If angle A is congruent to itself by the Reflexive Property, which transformation could be used to prove ΔABC ~ ΔADE by AA simil
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!