A circle has a radius of 5 meter. What is the length of the arc that is captured by a central angle that measures 120 degrees? Round your answer to the nearest tenth.a) 3.33 meters
b) 31.42 meters
c) 10.47 meters
d) 2.09 meters

Answers

Answer 1

Answer:

The length of the arc captured by a central angle of 120 degrees in a circle with a radius of 5 meters is approximately 10.47 meters. Hence, the correct answer is an option (c) 10.47 meters.

What is an arc?

Arc is the measure of the angle on the circumference of a circle.

Length of an Arc = θ × (π/180) × r

Here,
The length of an arc of a circle with radius r and central angle θ (in radians) is given by the formula:

Length of arc = r × θ

To use this formula, we need to convert the given central angle of 120 degrees to radians:

θ = (120/180) × π = 2/3 × π

Now, we can substitute the given values into the formula to get the length of the arc:

Length of arc = 5 × (2/3 × π) = (10/3) × π ≈ 10.47 meters

Therefore, the length of the arc captured by a central angle of 120 degrees in a circle with a radius of 5 meters is approximately 10.47 meters. Hence, the correct answer is an option (c) 10.47 meters.

Learn more about arcs here:

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Answer 2

Answer: Well, the formula for the length of an arc is;
n⁰ × 2πr
360
Where; n⁰ is the angle
π is pie, which is 22/7 or 3.143 approximately
and r is the radius

Anyway, according to the question;
n⁰ is 120⁰
and r is 5 meters. And as you know, the pie is 22/7. So that will be

120⁰/360 x 2 x 22/7 x 5
And that will give you 10.47metres. Which is approximately 11 metres. Hope i helped, have a nice day

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Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.(-3,-3);y=-3x-2 y=−3x+2
Write an equation for the line in slope-intercept form.

Answers

Answer:

y = –3x – 6

Step-by-step explanation:

We'll begin by obtaining the slope of the equation y = –3x – 2.

This can be obtained by comparing

y = –3x – 2 with y = mx + c

Thus, the slope (m) of the equation

y = –3x – 2 is –3.

Next, we shall determine the slope of the equation parallel to line with equation y = –3x – 2.

This is illustrated below:

For parallel lines, the slope are related as follow:

m1 = m2

m1 = –3

m2 = m1 = –3.

Finally, we shall determine the equation as follow:

Coordinate = (–3, –3)

x1 coordinate = –3

y1 coordinate = –3

Slope (m) = –3

y –y1 = m(x – x1)

y – (–3) = –3 (x – (–3))

y + 3 = –3 (x + 3)

y + 3 = –3x – 3

Rearrange

y = –3x – 3 – 3

y = –3x – 6

Thus, the equation parallel to the line is y = –3x – 6

Cone A has a height of 3 meters and a radius of 2 meters. Cone B has the same radius, but the height is 6 meters. Calculate the volume of each cone. Which conclusion is correct?A) The volume of cone A is twice the volume of cone B.
Eliminate
B) The volume of cone B is twice the volume of cone A.
C) The volume of cone B is 4 times the volume of cone A.
D) The volume of cone B is three times the volume of cone A.

Answers

V=(1/3)hpir^2

Avol is (1/3)3pi2^2=4pi m^3

Bvol is (1/3)6pi2^2=2pi4=8pi m^3

B is twice vol A

answer is B

Answer:

Step-by-step explanation:

Which of the following is a true statement about skew lines?

Answers

Skew lines exist in a three-dimensional geometry. These are lines that are not parallel with each other but do not intersect. They are lines that do not lie on the same plane or non-coplanar. An example is the pair of lines through the opposite edges of a tetrahedron.

I need help on 22 pls

Answers

Answer:

a) 1.24 g/ml

b) 2.4%

Step-by-step explanation:

density = mass/volume

volume of sample = 28.4 - 15 = 13.4mL

density = 13.4/10.8

=1.24 g/ml

percent error

1.27 - 1.24 = 0.03

0.03/1.24 *100% = 2.4% error

Josie went to the local hairstylist to get her hair cut. It cost $34 for the haircut. Josie tipped the hairdresser 20%. What was the total amount Josie paid? Round to nearest cent.

Answers

Answer:

$40.80 is the answer

PLEASE ANSWER ASAP IF YOU KNOW THIS :D Kim earns $30 for babysitting on Friday nights. She makes an average of $1.25 in tips per hour. Write the function of Kim's earnings, and solve for how much she would make after 3 hours.a. y = 1.25x + 30; $33.75
b. y = 30x + 1.25; $43.75
c. y = 30x + 1.25; $91.25
d. y = 1.25x + 30; $31.25