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myrzilka [38]
3 years ago
7

The sector of a circle with a 12 inches radius has a central angle measure of 60°.

Mathematics
2 answers:
ycow [4]3 years ago
8 0
60(pi/180)=pi/3
.5(12^2)(pi/3)
72(pi/3)
24pi
olasank [31]3 years ago
6 0

Answer: 24\pi\text{inches}^2

Step-by-step explanation:

The area of sector with central angle 'x' ( in degrees) and radius 'r' is given by :-

\text{Area of sector}=\dfrac{x}{360}\times\pi r^2

Then the area of sector with central angle 60^{\circ} and radius 12 inches is given by :-

\text{Area of sector}=\dfrac{60}{360}\times\pi (12)^2\\\\\Rightarrow \text{Area of sector}=24\pi\text{inches}^2

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Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

8 0
3 years ago
The hypotenuse of a right triangle is 15 inches, and one of its legs is 11 inches. Find the length of the other leg.
nignag [31]

Answer:

10.2

Step-by-step explanation:

4 0
3 years ago
Antwan’s car loan is automatically deducting $150 from his bank account every month. How much will the deductions total for the
KiRa [710]

Answer:

$1,700

Step-by-step explanation:

Multiply the rate that money is being taken out at by the amount taken out at

12 x 150

4 0
3 years ago
-5-3 what does it equal
Leni [432]
-8 is the answer to your question
6 0
3 years ago
Read 2 more answers
The line passes through the points ( 7, -7) and ( 6, -5) a. y = -2x + 7 c. y = -2x - 7 b. y = 2x - 21 d. y = 2x - 7
ollegr [7]
Slope = (-5+7)/(6 - 7) = -2

y = mx + b
b = y - mx
b = -7 - (-2)(7)
b = -7 + 14
b = 7

equation
y = -2x + 7

answer
<span>a. y = -2x + 7</span>
5 0
3 years ago
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