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2 years ago

Find the length of the arc. 120° 6ft

Mathematics

1 answer:

8_murik_8 [283]2 years ago

6 0

Answer:

The length of the arc is 8*pi cm. An arc that subtends a central angle of 120 degrees has a length of 120/360 = 1/3 the length of the total circumference of the circle. We know the entire circumference of the circle is 2πr, which in this case is 2π*12 = 24π.

Step-by-step explanation:

sorry I only have the 8

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3 years ago

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chubhunter [2.5K]

Nobody can solve this without any further information?

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2 years ago

State whether the system is consistent and independent, consistent and dependent or inconsistent.

user100 [1]

Answer:

The correct option is 1.

Step-by-step explanation:

Inconsistent system: If the given system has no solutions, then it is an inconsistent system.

Consistent and independent system: If the given system has only one solutions, then it is an consistent and independent system.

Consistent and dependent system: If the given system has many solutions, then it is an consistent and dependent system.

The given equations are

$x+3y=18$ .... (1)

$-x+2y=7$ ..... (2)

Add both equations.

$x+3y-x+2y=18+7$

$5y=25$

$y=5$

Substitute this value in equation (1).

$x+3(5)=18$

$x+15=18$

$x=3$

The system of equations has only one solution, i.e.,(3,5).

Therefore the given system is consistent and independent. Option 1 is correct.

7 0

3 years ago

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The picture below shows a box sliding down a ramp:

AURORKA [14]

Answer: Option 2

Step-by-step explanation:

$\sin 65^{\circ}=\frac{12}{AC}\\\\AC=\frac{12}{\sin 65^{\circ}}\\\\\boxed{AC=12 \text{ cosec }65^{\circ}}$

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1 year ago

Find two consecutive whole numbers that /53 lies

Neporo4naja [7]

26 and 27.

Consecutive numbers are pairs of numbers like 1 and 2 or 5 and 6. One number right after the other to equal the whole number. Subtract 1 from 53 to get 52 then divide 52 by 2 to get 26. Then just add the 1 back on to get 26 and 27 to equal 53.

Hope this helped! :)

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3 years ago