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
VLD [36.1K]
3 years ago
12

different sizes of regular pentagons are used in a stained glass window.each small pentagon has side lengths of 4 inches and an

area of 27.5 square inches.each large pentagon has a side lengths of 8 inches.what is the area of each large pentagon?
Mathematics
1 answer:
Liula [17]3 years ago
7 0
The goal is to find the area of a pentagon with side length 8.

We can find the area of a pentagon very easily by splitting it up into 10 congruent right triangles with the apothem as the height. The base of one of these triangles would be 4. The base angle would be 54 degrees, because it's half of the angle of a regular pentagon.

Using trig we find that the height of this triangle/apothem of the pentagon is equal to 4tan(54 degrees), which is about 5.506.

The area of a triangle is bh/2, so...4*5.506/2 = 11.011 in².
Times 10 triangles is 110.11 in².

You might be interested in
F(x) = (x - 2)^2 + 2<br> find the range of the function
a_sh-v [17]
Vertex = (2, 2)
Range = {f(x): f(x) >= 2}
3 0
3 years ago
Help please!!!!!!!!!
Triss [41]
The answer is -4, hope this helped
8 0
3 years ago
Please Help , Thank You
yan [13]
The answer to your question is a,c,d

5 0
3 years ago
A student believes she can earn between $5200 and $6250 from her summer job. She knows that she will have to buy four new tires
ohaa [14]

Answer:

4180 to 5230$

Step-by-step explanation:

1. Lets find the expenses she has to make -> 4*90+660=1020$(4 new tires + other expenses)

2. As her income is not set strictly we can guess the range she can save(More accurate calculations depends on her strict incomes). We have 5200-1020=4180$(if she gets paid 5200$) and 6250-1020= 5230$(if she gets paid 6250$).

3. So the range of savings vary from 4180 to 5230$$.

4 0
3 years ago
Which equation results from adding the equations in this system? Negative 2 x + y = 8. 5 x minus y = negative 5.
skad [1K]

Answer:

x= 1.75 y= 6.75

Step-by-step explanation:

substitution method

3 0
3 years ago
Read 2 more answers
Other questions:
  • Justin opened a savings account with $500. He plans to save $50 per week from his paycheck. Which equation would represent his t
    13·1 answer
  • Write the expression in WORDS!<br><br> 5x + 3
    5·1 answer
  • So in the thing p=m/v to find m would you times v by p?
    6·1 answer
  • The Golden Rectangle can be found in the modern world<br> TRUE or FALSE
    14·1 answer
  • What type of angle is shown here?
    15·2 answers
  • How to solve this equation: ax² - 5x + 2 = 0
    5·1 answer
  • What is the value of (2x^2-5x+4)if x =7
    6·2 answers
  • What is the total price charged for goods that cost $7.50 and have a 4% sales tax? $0.30 $7.20 $7.80 $30.00
    15·2 answers
  • Which equation represents a line that is parallel to the x-axis, is perpendicular to the y-axis, and has a slope of 0?
    8·1 answer
  • Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!