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
Natali [406]
3 years ago
10

A circle with radius 3 has a sector with a central angle of 1/9 pi radians

Mathematics
1 answer:
Art [367]3 years ago
5 0

The area of sector is 1.57 m²

<u>Explanation:</u>

Given:

Radius, r = 3 m

Central angle of a sector = 1/9π radians

Area of sector, A = ?

We know:

Area of sector, A = \frac{1}{2} r^2 \alpha

where,

α is the central angle in radians

On substituting the value we get:

A = \frac{1}{2} X(3)^2 X \frac{1}{9}X 3.14\\ \\A = 1.57 m^2

Therefore, the area of sector is 1.57 m²

You might be interested in
How many ways are there to build a computer password consisting of 5 letters? Letters in a password may be repeated. There are 2
LUCKY_DIMON [66]
21 bc jjrifificucueujeejfhdjeiidfjrorodif
7 0
3 years ago
Read 2 more answers
The area of a rectangle has decreased by 2%.
MissTica

Answer:

The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%

Step-by-step explanation:

We can start with the basic equation for the area of a rectangle:

l × w = a

And now express the changes described above as an equation, using "p" as the amount that the width is changed:

(l × 1.1) × (w × p) = a × .98

Now let's rearrange both of those equations to solve for a / l.  Starting with the first and easiest:

w = a/l

now the second one:

1.1l × wp = 0.98a

wp = 0.98a / 1.1l

1.1 wp / 0.98 = a/l

Now with both of those equalling a/l, we can equate them:

1.1 wp / 0.98 =  w

We can then divide both sides by w, eliminating it

1.1wp / 0.98w = w/w

1.1p / 0.98 = 1

And solve for p

1.1p = 0.98

p = 0.98 / 1.1

p ≈ 0.89

So the width is scaled by approximately 89%

We can double check that too.  Let's multiply that by the scaled length and see if we get the two percent decrease:

.89 × 1.1 = 0.979

That should be 0.98, and we're close enough.  That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89.  The actual result of that fraction is 0.89090909...  if we multiply that by 1.1, we get exactly .98.

6 0
2 years ago
Mac and his brother Ted collect coins. Mac's collection contains 8 more than twice as many as Ted's. If the total number of coin
mixas84 [53]
The third option makes the most sense because 2 times what ted would be 2x plus 8 more. 2x+8
3 0
2 years ago
Read 2 more answers
Ross has to fill up a 300 gallon tank. There are already 75
stepan [7]

Answer: He needs 9 hours  to finish the task.

Step-by-step explanation:

Hi, first we have to subtract the gallons of water already in the tank (75) to the total capacity of the tank (300).

300-75 = 225

He needs to fill 225 gallons.

Since the pump Ross uses can fill 25 gallons of water per hour, the proportion is :

25 g / 1h

For 225 gallons:

225 g / x hours  

Solving for x

25/1 = 225/x

x= 225/ (25/1)

x = 9 hours

5 0
3 years ago
A rhombus and a square have one and the same side of 6 cm. The area of the rhombus is 4/5 of the area of the square. Find the he
Arada [10]
You will find the area the square and then find out what 4/5 of that area is.

A = bh
     6 cm x 6 cm 
A = 36 square cm

4/5 of 36 square cm
4/5 x 36
28 4/5 square cm

The area of the rhombus is 28 4/5 square cm.  Use this to solve for the height of the rhombus.

A = bh
<u>28 4/5</u> = <u>6 x h</u>
6            6
h = 4 4/5 cm

The height of the rhombus is 4 4/5 cm.
7 0
3 years ago
Other questions:
  • There are 2 different maps of California. The scale on the first map is 1cm to 20km. The distance from Fresno to San Francisco i
    11·1 answer
  • Which are the solutions of the quadratic equation? x2 = –5x – 3 –5, 0 5, 0
    8·2 answers
  • After watching the video below, explain what is happening in your own words. What percent of the original dollar size will the 4
    10·1 answer
  • 2.) What is the volume of the shape below?​
    5·1 answer
  • 25 POINTS!! PLEASE HELP!
    15·1 answer
  • NEED HELP please and thank you hehe
    10·1 answer
  • In circle o, diameter AB, chord BC, and radius OC
    5·1 answer
  • An 8ft length of crown molding costs $14. How much will it cost to buy 96 ft of crown molding?
    9·1 answer
  • Solve for b.<br><br> 8b−1=24b+4<br><br><br> ans = -7
    7·2 answers
  • Helpppppppppppppppp<br>find x​
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!