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Damm [24]
2 years ago
15

Area of sector................................

Mathematics
1 answer:
sveticcg [70]2 years ago
3 0

Answer:

A ≈ 25.1 cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × \frac{\frac{4\pi }{9} }{2\pi }

  = π × 6² × \frac{\frac{4\pi }{9} }{2\pi }

  = 36π × \frac{\frac{4\pi }{9} }{2\pi }

  = 18 × \frac{4\pi }{9}

  = 2 × 4π

  = 8π

  ≈ 25.1 cm² ( to the nearest tenth )

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Determine whether the conjecture is true or false. Give a counterexample for any false conjecture.
AnnyKZ [126]

Answer:

The Answer is C. false; m =-2 or m=2

Step-by-step explanation:

This is because:

2*2=4 being 4+6=10 Making 2 true, but

-2*-2= 4 as well making it 4+6=10, Making -2 true as well.

6 0
3 years ago
Read 2 more answers
One maid can clean the house four times faster than another. Working together they can clean the entire house in 4 hours. How lo
stich3 [128]

<u>5 hours</u><u> long would it take the </u><u>faster </u><u>maid cleaning alone.</u>

What is a linear equation in math?

  • A linear equation only has one or two variables.
  • No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction.
  • When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Suppose, time taken by faster maid be x , hours.

So, time taken by slower maid ,

 x_{2} = 4x_{1}        ( 4 time faster maid )

Now, time taken by both of the  made together is given by ,

( \frac{x_{1}x_{2}  }{x_{1} + x_{2} } )

\frac{x_{1}(4x_{1} ) }{x_{1} + 4x_{1} }  = 4 hours

\frac{4x_{1} }{5}  = 4 hours

x_{1} = 5 hours     which is the time required by faster maid.

Learn more about linear equation

brainly.com/question/12974594

#SPJ4

8 0
1 year ago
Let E = {(x, y) e R2|xy &gt; 0}. Determine whether E is a subspace of R2 . X3
gayaneshka [121]

Answer:

E is not a subspace of \mathbb{R}^2

Step-by-step explanation:

E is not a subspace of  \mathbb{R}^2

In order to see this, we must find two points (a,b), (c,d) in  E such that (a,b) + (c,d) is not in E.

Consider

(a,b) = (1,1)

(c,d) = (-1,-1)

It is easy to see that both (a,b) and (c,d) are in E since 1*1>0 and (1-)*(-1)>0.  

But (a,b) + (c,d) = (1-1, 1-1) = (0,0)

and (0,0) is not in E.

By the way, it can be proved that in any vector space all sub spaces must have the vector zero.

5 0
3 years ago
Solve the system of equations y= 3/2 - 1, -x+ y =-3
kaheart [24]

Answer:

(x, y) = ( 1/2, -3 )

Step-by-step explanation:

y = -3

3/2 - 1 - x + y = - 3

3/2 - 1 - x - 3 = - 3

x = 1/2

solution : (x , y ) = ( 1/2, -3)  

here we are gonna see why is that answer :

-3 = 3/2 -1 - 1/2 - 3 = -3

-3 = -3 = -3

i hope this helps

5 0
2 years ago
Emmanuel went to the store and
musickatia [10]

Answer:

$148.50

Step-by-step explanation

I solved this by using fractions.

x/450=33/100 is how I set up the problem. 33/100 represents 33%, while x/450 represents how much the jacket costs now.

I then went across and multiplied x by 100, and 450 by 33, which gave me 100x=14850. After this I divided each side by 100 to get 148.5, being the cost of the jacket.

7 0
3 years ago
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