All categories

3 years ago

39. Find the length of each arc shown in red. Leave your answer in simplified radical form.

Mathematics

1 answer:

andre [41]3 years ago

6 0

Answer:

The length of the arc shown in red is $\frac{22}{9}\pi\ in$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=4\ in$

substitute

$C=2\pi (4)$

$C=8\pi\ in$

step 2

Find the length of the arc in red

Remember that the length of the circumference subtends a central angle of 360 degrees

by proportion find the length of the arc by a central angle of 110 degrees

$\frac{8\pi}{360}=\frac{x}{110}\\ \\x=8\pi*110/360\\ \\x=\frac{880}{360}\pi\ in$

Simplify

$\frac{880}{360}\pi=\frac{22}{9}\pi\ in$

You might be interested in

Given g(x)=-2x-4find g(6)

Butoxors [25]

Answer:

g(6)=-16

Step-by-step explanation:

g(6)=-2(6)-4

g(6)=-12-4

g(6)=-16

Hope this helps lol

3 0

2 years ago

Angle θ is in standard position. if sin(θ) = − 1 3 , and π < θ < 3π 2 , find cos(θ).

kramer

The value of the angle θ is 160.52° then the value of the cosine will be negative 0.9428.

<h3>What is trigonometry?</h3>

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Angle θ is in standard position.

If sin(θ) = − 1/3 , and π < θ < 3π/2

Then the angle will be

$\theta = \sin ^{-1}\dfrac{-1}{3}\\\\\theta = -19.47$

Then add 180 degrees, then we have

$\theta = -19.47 + 180\\\\\theta = 160.52$

Then the value of the cosine will be

$\cos 160.52^o=-0.9428$

More about the trigonometry link is given below.

brainly.com/question/22698523

7 0

2 years ago

Read 2 more answers

Which set of numbers best describes the possible values of x in the equation below?[x-1]=[x] all integer values of x all real nu

SCORPION-xisa [38]

[x] represents floor function also called as Greatest integer function.

Floor function is the function that takes as input a real number and gives as output the greatest integer less than or equal to.

like [1.5]=1

[0.7]=0

[-0.3]=-1

Now we have to find set of x-values which satisfies equation [x-1]=[x]

Due to -1 in [x-1], it always produces output value one less than value of [x]

for example when x=0.5 then [x]=[0.5]=0, [x-1]=[0.5-1]=[-0.5]=-1

when x=1.5 then [x]=[1.5]=1, [x-1]=[1.5-1]=[0.5]=0

when x=3 then [x]=[3]=3, [x-1]=[3-1]=[2]=2

From above results we can see that there is no value of x which satisfies the given equation [x-1]=[x]

Hence there is NO solution.

3 0

3 years ago

Read 2 more answers

What is the difference between the mean and the median of the data set?

natka813 [3]

Answer:

Your answer is 0 (zero).

Step by Step Explanations:

For mean:

1. Add all the numbers; which is 90

2. Divide by how numbers there are, for this case there are 6 numbers; 90/6 = 15

3. Your mean is 15

For Median:

1. Order the numbers from lest to greatest. Ex: 8, 10, 12, 18, 20, 22

2. Find the middle number(s), which are 12 &18

3. Add; 12 + 18 = 30

4. Divide; 30/2 =15

5. Your Median is 15

So now the question asks "what's the difference?" which means subtraction: 15 - 15 = 0

3 0

3 years ago

taurus [48]

Answer:

can you please write it differently cuz its kinda confusing

4 0

3 years ago