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3 years ago

A sector with a radius of 6 cm has a central angle measure of 4pi/9 in radians. What is the area of the sector?

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

3 0

Answer:

8πcm² = 8pi cm²

Step-by-step explanation:

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

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bixtya [17]

Answer:

$x= \frac{ - 11 + \sqrt{205} }{6} \: \: \: \: \: or \: \: \: \: \\x = \frac{ - 11 - \sqrt{205} }{6}$

Step-by-step explanation:

$- 3x {}^{2} - 11x + 7 = 0 \\ 3x {}^{2} + 11x - 7 = 0$

here,

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$D = b {}^{2} - 4ac \\ = (11) {}^{2} - 4(3)( - 7) \\ = 121 + 84 \\ = 205 > 0 \\$

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$x = \frac{ - b + - \sqrt{b {}^{2} - 4ac} }{2a} \\ \\ = \frac{ - 11 + - \sqrt{205} }{2(3)} \\ = \frac{ - 11 + - \sqrt{205} }{6} \\ \\ = \frac{ - 11 + \sqrt{205} }{6} \: \: \: \: \: or \: \: \: \: = \frac{ - 11 - \sqrt{205} }{6}$

4 0

3 years ago

A wire 48 m long carries a current of 18 A from west to east.

Arisa [49]

Step-by-step explanation:

Given that,

The length of a wire, L = 48 m

Current in the wire, I = 18 A (west to east)

The magnetic field in the wire, B = $8.3\times 10^4\ T$ (towards south)

The magnetic force acting on the wire is given by :

$F=I(L\times B)\\\\F=48\cdot18\cdot8.3\cdot10^{-4}\ N\\\\F=0.71\ N$

Using right hand rule, the direction of magnetic force is upwards.

4 0

2 years ago

Peter learns the following: A cheetah travels about 0.15 kilometers in 5 seconds. A snail travels about 1.5 centimeters in 5 sec

NNADVOKAT [17]

Cheetah travels 0.15 km in .....................5 seconds or
15000 cm ......................5 seconds

a snail travels 1.5 cm in ...........................5 seconds
the cheetah travels in 5 seconds 15000-1.5=14998.50 cm which is equal to
149.985 meters which is choice A

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3 years ago

What is the circumference of the circle shown below? (Round your answer to the nearest tenth.) A. 33.0 B. 66.0 C. 346.4 D. 206.2

Afina-wow [57]

Answer:

B. 66.0

Step-by-step explanation:

The formula for circumference is 2*π*r where r is the radius. MS and MR are both radii, so we can plug in 10.5 to the formula to get 2* π*10.5, which would be about 65.97, which rounds to 66.0. Hope this helps!

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2 years ago

Four friends earn $ 24 washing cars and c dollars cutting grass. They want to divide the total amount into equal parts.

olganol [36]

Answer:

$15.50

Step-by-step explanation:

From washing cars, each friend should get $24/4, or $6.

From cutting grass, each friend should get $38/4, or $9.50.

Thus, each friend is due ($6 + $9.50), or $15.50.

6 0

3 years ago

Read 2 more answers