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olga55 [171]
4 years ago
5

What is the area of a sector with a central angle of 4π/5 radians and a radius of 11 cm?

Mathematics
1 answer:
Airida [17]4 years ago
8 0

Answer:

the area of a sector is 151.976 cm²....

Step-by-step explanation:

Area of sector(A)is given by:

A=πr².θ/360°

where,

r is the radius and θ is the angle in degree.

As per the statement:

A central angle of 4π/5 radians and a radius of 11 cm.

r=11cm

Use conversion:

1 radian=180/π

then:

4π/5 radians=180/π * 4π/5

=144°

θ=144°

Substitute these given values and use 3.14 for π we have;

A=3.14*(11)²*144/360

A=3.14(121)*144/360

A=379.94*0.4

A=151.976 cm²

Therefore the area of a sector is 151.976 cm²....

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Solve: 2/x + 3/2x - 1/2 = 2/3
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Answer:

Step-by-step explanation:

\frac{2}{x}+\frac{3}{2x}-\frac{1}{2}=\frac{2}{3}\\multiply ~by~6x\\12+9-3x=4x\\21=4x+3x\\7x=21\\x=21/7=3

6 0
3 years ago
Write an algebraic expression for:<br><br> The product of 12 and the sum of a number and negative 3
lbvjy [14]

The product of 12 and the sum of a number and negative 3 is 12(x - 3)

<h3>How to represent algebraic expression?</h3>

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, multiplication etc.).

In other words, an algebraic expression is a mathematical statement that contains a combination of numbers, symbols, variables and mathematical operators.

Therefore, the product of 12 and the sum of a number and negative 3 is as follows:

let

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Hence,

12 × (x + (-3))

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learn more on algebraic expression here: brainly.com/question/13099621

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3 0
2 years ago
Solve 5x – 1 = (1/25)2x
NeX [460]

Answer: x = 25/123

Step-by-step explanation:

6 0
3 years ago
A local hamburger shop sold a combined total of 659 hamburgers and cheeseburgers on Sunday. There were 50 fewer cheeseburgers so
NISA [10]

Answer:

The sold 354.5 hamburgers and 300.5 cheeseburgers.

Step-by-step explanation:

Let number of hamburgers=h

Let number of cheeseburgers=c

On Sunday, the shop sold a combined total of 659 hamburgers and cheeseburgers. Therefore:

h+c=659....(I)

There were 50 fewer cheeseburgers sold than hamburgers .

c=h-50.....(ii)

Substitution of equation (ii) into (I)

h+(h-50)=659

2h=659+50

2h=709

h=709/2=354.5

From (ii)

c=h-50

=354.5-50=300.5

The sold 354.5 hamburgers and 300.5 cheeseburgers.

NOTE: These result are from the given data. However, we were not informed if the shop sells half burgers or not

7 0
3 years ago
3 2/3 as a decimal <br><br> Please help need to now
Ratling [72]

2/3= 0.6

3.06 would be the answer I believe.

Hope this Helps!!

5 0
4 years ago
Read 2 more answers
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