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zhuklara [117]
3 years ago
13

Find the length of each arc. Use the exact answer

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

Arc length formula is written Mathematically as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

So, the arc length is 16π/3 ft

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Which complex number has a distance of 17 from the origin on the complex plane?
Virty [35]

Answer:

None of the options are correct.

Step-by-step explanation:

Let the complex number is a + ib

Given distance from origin = 17 units

Now, by distance formula distance of a point  from the origin  =

17 = \sqrt{(x)^{2}  + (y)^{2} }

1) <u>Check for 2 + 15 i</u>

here, \sqrt{15^2  +  2^2}  = \sqrt{225 + 4} = \sqrt{229} ≠ 17

2)<u> Check for 17 +  i</u>

here, \sqrt{17^2  +  1^2}  = \sqrt{289 + 1} = \sqrt{290}≠ 17

3)<u> Check for 20 - 3 i</u>

here, \sqrt{20^2  +  (-3)^2}  = \sqrt{400 + 9} = \sqrt{409}≠ 17

4) <u>Check for 4 -  i</u>

here, \sqrt{4^2  +  (-1)^2}  = \sqrt{16 + 1} = \sqrt{17} ≠ 17

Hence,  none of the options are correct.

4 0
4 years ago
Write a well-structured MATLAB function procedure named Fnorm to calculate the Frobenius norm of an m × n matrix. ||A||f=∑mi=1∑n
coldgirl [10]

Answer:

Step-by-step explanation:

function Fn = Fnorm(A)

[r,c] = size(A);

sum = 0;

for i=1:r

for j=1:c

sum = sum + (A(i,j) * A(i,j));

end

end

Fn = sqrt(sum);

end

A = [5 7 9; 1 8 4; 7 6 2]

fprintf("The Frobenius norm of an m × n matrix is\n");

Fn = Fnorm(A)

=========================================================================================\

5 0
3 years ago
You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Whic
mixas84 [53]

Answer:

1.333 is more close to 1.5 than 1.25 .

Step-by-step explanation:

We are given:

You have a 4 in. X 6in. family picture that you want to resize. You can choose from a 16 in. X 20 in. or an 18 in. X 24 in. Which size will keep more of the original picture.

First divide 6 by 4: we get,

6/4 = 1.5 inches

This is the ratio to achieve.

Now divide 20 by 16

20/16 = 10/8

10/8 = 5/4

5/4 = 1.25 inches

Now divide 24 by 18

24/18 = 12/9

12/9 = 4/3

4/3 = 1.333 inches

1.333 is more close to 1.5 than 1.25 .

7 0
3 years ago
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3 0
3 years ago
What is the circumference of each circle? Use 3.14 for PIE. Round to the nearest tenth if necessary.
maksim [4K]
The answer is D 56.5
6 0
3 years ago
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