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melamori03 [73]
2 years ago
7

If the radius is 18 cm and the angle at centre of circle is 120° then the

Mathematics
1 answer:
PolarNik [594]2 years ago
4 0

The area of a sector is 339.336 cm²

The area of a sector is defined to be as the region of space bounded by a boundary from the center of the circle.

It can be determined by using the formula:

\mathbf{A = \dfrac{\theta }{360}\times \pi r^2 }

Given that;

  • Radius r = 18 cm
  • Angle θ =  120°

Then. the area of the sector can be calculated as:

\mathbf{A = \dfrac{120}{360}\times \pi (18)^2 }

\mathbf{A = \dfrac{1}{3}\times 3.142 \times 324 }

A = 339.336 cm²

Learn more about the area of a sector here:

brainly.com/question/7512468?referrer=searchResults

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Create a quadratic polynomial function f(x) and a linear binomial in the form (x − a).
erik [133]
Quadratic polynomial  x^2 - x - 6 = f(x)
binomial  (x-3)

dividing:-
                x   + 2
          ----------------------
x - 3   )  x^2  - x   -  6
             x^2 - 3x
             ----------
                     2x - 6
                     2x - 6
                     --------
                      .........

result of division is (x + 2)  
s o we can write the function as (x - 3)(x + 2)

Part 2  f(a)  = f(3)   =  (3)^2 - 3 - 6 = 0

Part3  The remainder Theorem  states that  the remainder when a polynomial is divided by (x - a)  then the remainder is f(a).  If f(a) = 0 then  x - a is a factor.
In the above case f(3) = 0 therefore (x - 3) is a factor of our polynomial.
7 0
3 years ago
Question
goblinko [34]

Answer:

I couldn't really see the height number (that had to doubled) ir really the radius but I saw 7 for the radius and 3 (×2) for the height so I did the math and the answer is 923.63

Step-by-step explanation:

i could be wrong tho, hope this helped

5 0
3 years ago
Read 2 more answers
The drama club is selling gift baskets to raise money for new costumes. During the fall play, they sold a combined 18 regular gi
german

Answer:

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

Step-by-step explanation:

The drama club is selling gift baskets to raise money for new costumes.

Let us represent:

The cost of

Regular baskets = x

Deluxe baskets = y

During the fall play, they sold a combined 18 regular gift baskets and 19 deluxe gift baskets, earning a total of $1,158.

Hence:

18x + 19y = 1158....... Equation 1

During the spring musical, they sold 15 regular gift baskets and 12 deluxe gift baskets, earning a total of $804.

15x + 12y = 804...... Equation 2

Combining them two Equations

18x + 19y = 1158....... Equation 1

15x + 12y = 804...... Equation 2

Multiplying Equation 1 by 15 and Equation 2 by 18 to Eliminate x

270x + 285y = 17370..... Equation 3

270x + 216y = 14472...... Equation 4

We Subtract Equation 4 from Equation 3.

69y = 2898

y = 2898/69

y = $42

Solving for x

18x + 19y = 1158....... Equation 1

18x + 19 × 42 = 1158

18x + 798 = 1158

18x = 1158 - 798

18x = 360

x = 360/18

x = $20

Therefore,

The cost of

Regular baskets = x = $20

Deluxe baskets = y = $42

8 0
3 years ago
Can anyone check my answers to see if it’s correct?
Evgesh-ka [11]

Answer: I thinks its correct

Step-by-step explanation:

5 0
3 years ago
A spinner with sections Red, Blue, Yellow, and Green is spun 3 times. What is the probability that it will land on yellow all 3
LenKa [72]

Answer: 1/64

Step-by-step explanation:

1/4 to land on Yellow

We do it 3 times

1/4 x 1/4 x 1/4 = 1 /64 =0.015625

6 0
3 years ago
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