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VLD [36.1K]
3 years ago
7

Find the length of the arc (AB) Leave your answer in terms of Pi

Mathematics
1 answer:
butalik [34]3 years ago
4 0
The formula is L = 2 pi r * (angle measure / 360). We have everything we need to solve this, the angle is 90 and the radius is 12: L = 2 pi (12) (90/360). Do the work inside the parenthesis first to get : L = 2 pi (12)(.25). Solving for L: L = 6pi
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For what values of theta (0 less than or equal to theta less than or equal to 2pi) do maximum r values occur on the graph the po
9966 [12]

Answer:

Step-by-step explanation:

To find the values of the angle which makes maximum r you use the derivative of r

\frac{dr}{d\theta}=\frac{1}{3}sin(3\theta)

If you equals this derivative to zero you obtain the value of the angle:

\frac{dr}{d\theta}=0\\\\cos3\theta=0\\\\3\theta=\frac{\pi}{2}\\\\\theta=\frac{\pi}{6}

However, the values of 5π/6 and 9π/6 are also available, because makes the sinusoidal function equal  to 1.

hence, the answer is:

\theta_1=\frac{\pi}{6} \\\\\theta_2=\frac{5\pi}{6}\\\\\theta_3=\frac{9\pi}{6}=\frac{3\pi}{2}

answer b

7 0
3 years ago
Which of the following graphs has a zero at (-5)?
guapka [62]
Graph B would be the correct answer
6 0
2 years ago
(Pls help will give brainliest its urgent!!) Michael spends $24 each week on private swimming lessons.
vredina [299]

Answer:

i only know it is c and e but dont know about a and b

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A rectangle has a length of 3.6 in, and a perimeter of 16.8 in.
zhannawk [14.2K]

Answer:

Width = 4.8 inches

Step-by-step explanation:

The perimeter of a rectangle is given by the formula:

P=2l+2w

Where

P is perimeter

l is length

w is width

Given length = 3.6 and perimeter = 16.8, we plug them in into the formula and figure out the width, w. Process shown below:

P=2l+2w\\16.8=2(3.6)+2w\\16.8=7.2+2w\\16.8-7.2=2w\\9.6=2w\\w=\frac{9.6}{2}\\w=4.8

Hence, the width is 4.8 inches

3 0
3 years ago
7m - 17 = -24<br> what is m?
aev [14]

Answer:

Move all terms that don't contain

m

to the right side and solve.

Exact Form:

m

=

41

7

Decimal Form:

m

=

5.

¯¯¯¯¯¯¯¯¯¯¯¯

857142

Mixed Number Form:

m

=

5

6

7

Tap to view steps...

3 0
3 years ago
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