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
mezya [45]
3 years ago
7

What is the length of the major arc AE if the area of rectangle ABCD shown in the figure below is 18 sq. ft, and side AB, which

is tangent to the circle at A, measures 6 feet?
Mathematics
1 answer:
REY [17]3 years ago
5 0
Rectangle ABCD is one of the figures.
There is a circle where the line AD forms the radius.

Total area of rectangle = 18
Line AB = 6
So, line AD = 3 and line AE = 3
The interior angles of a rectangle are 90 degrees.


270 : 360 = x : (2*pi*r)
270/360 = x/(2*pi*3)
3/4 = x/(6 pi)
4x = 3* (6 pi)
<span>x = 9pi / 2

The length of the major arc AE is 9pi / 2</span>
You might be interested in
Whats <br> 3(x+4) In simplyed.
Setler [38]

Answer:

3x + 12

Step-by-step explanation:

Distribute the 3

5 0
3 years ago
Read 2 more answers
Find 5 rational numbers between -3/4 and 5/6
insens350 [35]

Answer:

1/2, 1/3, 1/4, 1/5, 1/6

Step-by-step explanation:

6 0
3 years ago
Please help ASAP 25 pts + brainliest to right/best answer
Whitepunk [10]
The answer seems to be D!!
4 0
3 years ago
Read 2 more answers
A book has 12 chapters. The mean length of the chapters is 40 pages. How many total pages are there in the 12 chapters?
amm1812

Answer:

480

Step-by-step explanation:

Important Information:

A Book Has 12 Chapters.

The Mean length of the chapters is 40 pages.

Question to Answer:

How many total pages are there in the 12 chapters?

Explanation/Solution:

Let's assume that the total number of pages in the book is "x" pages.  

To find the mean (average) we divide the total "x" by 12 because there are 12 chapters in the book, which would equal to 40.  

\frac{x}{12}=40

Multiply both sides by 12...

x = 480

Hence, The total number of pages in the 12 chapters is 480.

7 0
2 years ago
In ΔABC, if m ∠A = m∠C, m∠B = ß (where ß is an acute angle), and BC = x, which expression gives the length of b, the side opposi
chubhunter [2.5K]

Answer:

The length of b is \sqrt{2x^2(1-cos\beta)}.

Step by step explanation:

Given information: In ΔABC, ∠A =∠C, ∠B = ß (where ß is an acute angle), and BC = x.

Since two angles are same therefore triangle ABC is an isosceles triangle and side AB and BC are congruent.

AB=BC=x

According to Law of cosine

b^2=a^2+c^2-2ac\cos B

b^2=x^2+x^2-2(x)(x)\cos \beta

b^2=2x^2-2x^2\cos \beta

b^2=2x^2(1-\cos \beta)

\sqrt{2x^2(1-cos\beta)}

Therefore the length of b is \sqrt{2x^2(1-cos\beta)}.

6 0
3 years ago
Other questions:
  • Simplify the expression 9 x (2 x 4)2 =
    12·1 answer
  • If a line on a distance versus time graph goes back down towards the x-axis, what does that mean
    10·1 answer
  • √2 times √800 anyone know?
    11·1 answer
  • 2 0,484,163 expanded form
    8·1 answer
  • Use distance formula d=√(X2 – X1 )2 + (X2 – X1 )2, calculate the distance r from the origin to the point r (-2, √5).
    12·1 answer
  • 13. A glass can hold 3 cups of water. A bowl can
    14·1 answer
  • Researchers are studying two populations of sea turtles. In population D, 30 percent of the turtles have a shell length greater
    7·1 answer
  • A triangle has sides with lengths 17, 12, and 9. Is the triangle right, acute, or obtuse?
    13·1 answer
  • If f (x)=3^5-x + 6, what is the value of f (5), to the nearest tenth?
    14·1 answer
  • Which will have a negative number?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!