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
love history [14]
3 years ago
12

The interior angles of a hexegon are in the ratio 3:3:4:5:6:7. Find; (a) The size of the smallest angle. (b) The size of the lar

gest angle​
Business
1 answer:
stiks02 [169]3 years ago
4 0

Answer: (a) 77\dfrac17^{\circ}  (b) 180°

Explanation:

Sum of interior angles of a polygon with n-sides: (n-2)\times180^{\circ}

In hexagon, total sides: n =6

Given: The interior angles of a hexagon are in the ratio 3:3:4:5:6:7.

Let the angles be 3x , 3x, 4x, 5x, 6x, 7x

Then,

3x+3x+4x+5x+6x+7x=(6-2)\times180^{\circ}\\\\\Rightarrow\ 28x=4\times 180\\\\\\\Rightarrow\ x=\dfrac{4\times180}{28}\\\\\Rightarrow\ x=25\dfrac{5}{7}^{\circ}

Smallest angle= 3x = 3\times \dfrac{180}{7}=77\dfrac17^{\circ}

Largest angle = 7x =7\times\dfrac{180}{7}=180^{\circ}

You might be interested in
You are considering purchasing a new truck that will cost you $34,000. The dealer offers you 1.9% APR within monthly compounding
dmitriy555 [2]

Answer: $31,513.65

my monthly payment (principal) would be closest to $31,514

Explanation:

Using compound interest formula below to find the principal

A = p (1 + r/n)^nt

A= amount = $34,000

r = annual nominal rate = 1.9% = 0.019

n = number of compounding ; monthly compounding means 12 interest payments in a year

P= principal

t= time in years 48months = 48/12years = 4years

34,000 = p (1 + 0.019/12)^12(4)

34,000 = p (1 + 0.00158333333)^48

34,000 = p ( 1.00158333333)^48

34,000 = 1.07889755p

Divide both sides by 1.07889755

P = $31,513.6502

≈$31,514 to nearest whole number.

5 0
4 years ago
Last week, the 3,000 visits to Rebecca's e-commerce site generated $600 in revenue selling products that cost her $300. What is
Leona [35]

Answer:

$0.10

Explanation:

Calculation for the amount that Rebecca should spend on a PPC advertisement for her website

Using this formula

Amount to be spend=Cost /Numbers e-commerce site visits

Let plug in the formula

Amount to be spend=$300/3,000

Amount to be spend=$0.10

Therefore the amount that Rebecca should spend on a PPC advertisement for her website will be $0.10

8 0
3 years ago
In the business world, you need this trait so you can stay ahead of the competition. independence risk-taking self-assurance con
lesya692 [45]

Answer:

oi

Explanation:

hi how are you feeling today

8 0
3 years ago
The following data are given for Bahia Company: Budgeted production 1,000 units Actual production 980 units Materials: Standard
garri49 [273]

Answer:

Volume overhead  $ 540  unfavorable

Explanation:

<em>The volume overhead is the difference between the budgeted units and actual units multiplied by the cost unit</em>

Fixed over cost per unit =budgeted cost/Budgeted unit

                                        = $27,000/1000 units

                                        = $27

Volume variance

                                                                          Units

Budgeted unit                                                  1000

Actual unit                                                          <u>980</u>

<u>Difference </u>                                                             20 unfavorable

Standard fixed overhead per unit                  <u> × $27</u>

Volume overhead                                            <u> 540  unfavorable</u>

                                       

7 0
3 years ago
Consider an economy that is in steady state according to the Solow model. Now suppose that a temporary foreign aid program build
skelet666 [1.2K]

Answer:B

Explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • The January 1, Year 1 trial balance for the Tyrell Company is found on the trial balance tab. The beginning balances are assumed
    14·1 answer
  • On January​ 2, 2019, Kaiman Corporation acquired equipment for $ 700,000. The estimated life of the equipment is 5 years or 50,0
    15·1 answer
  • Which of the following is TRUE regarding investment intermediaries? Group of answer choices Insurance companies can be both "buy
    10·1 answer
  • 4. The Argentinian peso has been steadily depreciating against the US dollar, but the government wishes to stop the depreciation
    11·1 answer
  • Assume that the company sells two products, X and Y, with contribution margins per unit of $12 and $10, respectively. What happe
    6·1 answer
  • Suppose intel stock has a beta of 1.64​, whereas boeing stock has a beta of 0.94. if the​ risk-free interest rate is 4.6 % and t
    14·1 answer
  • Suppose the residents of Vegopia spend all their income on cauliflower, broccoli, and carrots. In 2016, they buy 100 heads of ca
    11·1 answer
  • What is the relationship of<br>Stores function and other<br>departments​
    14·1 answer
  • State and federal governments actively support education at the primary, secondary, and collegiate levels. But they mandate educ
    12·1 answer
  • Which of the following is NOT example of Capital used to produce goods?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!