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
tom rides the bus part of the way to school and then he walks the rest pf the way. he walks five minutes longer than he rides. t
ruslelena [56]

Answer:

16 minutes

Step-by-step explanation:

Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:

27 - 5 = 22

Now that you have done this, divide 22 by 2:

22/2 = 11

Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:

11 + 5 = 16.

7 0
3 years ago
Read 2 more answers
Ben the camel drinks tea (so classy!). He drinks 405 liters of tea every 2 days. How many liters of tea does Ben drink every 6 d
Hoochie [10]
6/2=3
405*3= 1,215
hope this helps
7 0
2 years ago
2. Solve each given equation and show your work. Tell whether it has one solution, an infinite number of
marin [14]

Answer:

a. infinite solutions, answer is x = 30, identity equation

b. no solution, a contradiction equation

c. no solution, a contradiction equation

Step-by-step explanation:

3 0
2 years ago
What expression is equivalent to 3(6x-2)+2(x+5)
katen-ka-za [31]
3(6x-2)+ 2(x+5)
= 3*(6x)-3*2 +2x +2*5 (distributive property)
= 18x -6 +2x +10
= (18x +2x) +(10-6)
= 20x +4

The final answer is 20x+4.

Hope this helps~
6 0
2 years ago
Read 2 more answers
Using a metric line as taught in your lesson, convert the following metric measurement. (Remember to use the same number of sign
weqwewe [10]

Answer:

Option B.

Step-by-step explanation:

We need to express 505 kL in L.

Here, kL means kiloliter and L means liter.

We know that

1 kL = 1000 L

Using this conversion we can easily convert 505 kL in L.

Multiply both sides by 505.

505 × 1 kL = 505 × 1000 L

505 kL = 505,000 L

The value of 505 kL can be expressed as 505,000 L.

Therefore, the correct option is B.

4 0
2 years ago
Read 2 more answers
Other questions:
  • Plllllllsssssss answer quick
    13·1 answer
  • A brine solution of salt flows at a constant rate of 8L/min into a large tank that initially held 100L of brine solution in whic
    12·1 answer
  • A robot’s height is 1 meter 20 centimeters. How tall is the robot in millimeters?
    8·1 answer
  • Rectangle EFGH is rotated 90° clockwise around the origin. What are the coordinates of the image point F?
    11·2 answers
  • -1/9 - (-2/15)<br>write in simplest form
    10·1 answer
  • Given three balls and four boxes. Assume the boxes are numbered 1, 2 ,3 and 4.Place the ball one by one into the boxes randomly.
    9·1 answer
  • Critical Thinking: Empirical/Quantitative Skills
    12·1 answer
  • Help me grade 9! Thankyou
    10·1 answer
  • I will mark brainliest
    10·2 answers
  • The first digit of a string of 2002 digits is a 1. Any two-digit number formed by consecutive digits within this string is divis
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!