What is the area of a sector with a central angle 210 and a diameter of 4.6

Answers

Answer 1
Answer:

The area of the sector with a central angle of 210° and a diameter of 4.6units is 2.6π square units.

What is Area?

Area is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫F(x, y) dx dy

Given is a sector with a central angle of 210° and a diameter of 4.6 units.

The area of a sector can be calculated using the formula -

A{Sector} = θ/360° x 2πr

For the sector given, we have -

θ = 210°

r = 4.6 units

Substituting the values, we get the area of the sector as -

A{Sector} = 210°/360° x 2πr

A{Sector} = 7/12 x 2πr

A{Sector} = 7πr/6

A{Sector} = 7πd/12

A{Sector} = 7π x 4.6/12

A{Sector} = 7π x 0.38

A{Sector} = 2.6π square units

Therefore, the area of the sector with a central angle of 210° and a diameter of 4.6units is 2.6π square units.

To solve more questions on areas, visit the link-

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Answer 2
Answer: theta = 210°
r = 4.6/2 = 2.3
Area of circle = pi * r * r
= 3.14 * 2.3 * 2.3 = 16.61
Area of sector =
(theta / 360) * area of circle
= (210/360) * 16.61
= 9.69

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Plsss help!!!!!!!! ​

Answers

Answer:

Step-by-step explanation:

so the area of a circle is A=\pi r^(2)

111.6=3.14*r^(2) divide by 3.14 on both sides. that makes 36=r^(2) take the square root of both sides. r=6.  

now we find the diameter. 2\pi r=2*3.14*6=3.14*12 which is approximately 38.68

What is the completely factored form of 12xy – 9x – 8y + 6?

Answers

Answer:

Given that: 12xy -9x -8y +6

To find the factors of the polynomial with two variables.

(1)

First take the common factor from first two terms.

Common factor from first two terms is, 3x

then, it becomes;

3x(4y-3)

(2) Now, again taking the common factor from last two terms.

i,e -2

so, it becomes;

-2 (4y -3)

Then, the combined form of the given polynomial

12xy -9x -8y +6 is;

3x(4y-3)-2(4y-3)

(4y-3)(3x-2)

Therefore, the completely factored form of 12xy -9x -8y +6 is, (4y-3)(3x-2)





(12xy-9x) -(8y+6). <--group them
(12xy - 9x) (8y - 6). <---- switched the sign infront of the , 6 because of the sign outside its perenthesis

3x(4y -3). 2(4y-3). <--gcf of 12xy and 9x is 3x n divided both by 3x n got that n I did the same steps n got the other
(3x+2) (4y-3)<-- o took the ones outside the parenthesis n had them in one together, n the other ones already in the parenthesis looked the same so I picked one..



ans is (3x+2)(4y-3)

hope I helped :)

If x+3/3 = y+2/2 , then x/3=?

Answers

Answer:

y/3

Step-by-step explanation:

x+1=y+1

x=y+1-1

x=y

Therefore, x/3=y/3

State an equation you could use to find the value of x. Then find the value of x in simplest form.

Answers

You can use the Pythagorean Theorem:

a^2+b^2=c^2
x^2+x^2=(7√2)^2
2x^2=49*2 (combine like terms and square the 7√2)
x^2=49 (divide both sides by 2)
x=7 (square root both sides)

So the equation is 2x^2=98 (simplest form) and x=7

Hope this helps

Mike's truck engine holds 1 and 1/4 gallons of oil if there are 3 quarts of oil in the engine now how many more quarts of oil does Mike need to fill the engine to capacity

Answers

Answer:

2 more quarts of oil is needed to fill

the engine to capacity

Step-by-step explanation:

Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity

We have to convert the capacity to quarts

Mathematically, 1 gallon = 4 quarts

So 1 1/4 gallon will be 5/4 * 4 = 5 quarts

So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts

Factor completely 10xy + 3y + 20ax + 6a.(10x − 3)(y − 2a)

(10x − 3)(y + 2a)

(10x + 3)(y + 2a)

(10x + 3)(y − 2a)

Answers

Answer:

Option 3 is correct.

Step-by-step explanation:

The given expression is

10xy+3y+20ax+6a

This expression can be written as

(10xy+3y)+(20ax+6a)

Take out the common factors from each parenthesis.

y(10x+3)+2a(10x+3)

Now, take out the common factor (10x+3).

(10x+3)(y+2a)

Therefore option 3 is correct.

10 xy + 3y + 20 ax + 6a = y(10x+3) + a(20x+6) = y(10x+3)+2a(10x+6)= 
(y+2a)(10x+3)