Find the circumference of the coin. Use 3.14 or 22/7 for pi. Remember to have the correct units.
1) Show work on how you got your answer!
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~Hocus Pocus

9514 1404 393

Answer:

  (√17 -4√595)/102

Step-by-step explanation:

To use the sine of the angle sum formula, we need to know the sine and cosine of each of the angles.

  sin(sin^-1(1/6)) = 1/6 . . . . a first-quadrant angle

  cos(sin^-1(1/6)) = √(1 -(1/6)²) = √(35/36) = (√35)/6

  sin(tan^-1(-4)) = -4/√(1+(-4)²) = -4/√17 . . . . a 4th-quadrant angle

  cos(tan^-1(-4)) = √(1 -(-4/√17)²) = 1/√17

The sum of angles formula is ...

  sin(α+β) = sin(α)cos(β) +cos(α)sin(β)

So, our sine is ...

  [tex]\sin\left(\sin^{-1}\left(\dfrac{1}{6}\right)+\tan^{-1}(-4)\right)=\dfrac{1}{6}\cdot\dfrac{1}{\sqrt{17}}+\dfrac{\sqrt{35}}{6}\cdot\dfrac{-4}{\sqrt{17}}\\\\=\dfrac{1-4\sqrt{35}}{6\sqrt{17}}=\boxed{\dfrac{\sqrt{17}-4\sqrt{595}}{102}}[/tex]

Answer:

I'm not 100% sure but I think its B. 1> -18

Answer:

484 students

Step-by-step explanation:

This is simple probability. Assuming 22/80 students walk to school within a small population, and there are 1760 students at the school, there should be (22/80)*1760 students that walk to school in total. (This is just theoretical). This is 484 students.

The number of students who usually walk to school will be 484 students.

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

Alexis surveys a random sample of 80 students at his school and finds that 22 of them usually walk to school.

Then the number of students who usually walk to school will be

⇒ 22 / 80

⇒ 11 / 40

We know that the ratio will remain the same.

There are 1,760 students at the school.

Let x be the number of students who usually walk to school.

Then the number of students who usually walk to school will be

x / 1760 = 11 / 40

x = 484 students

Thus, the number of students who usually walk to school will be 484 students.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

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Answer:

1/4

Step-by-step explanation:

To find probability, multiply the probability of one roll times the probability of the second roll.

A die usually have 6 numbers so ill assume it has that.

1/2 or 3/6 of the sides are odd. So multiply 1/2*1/2 to get 1/4.

Answer:

We need to first find the radius:

half of 12(diameter) = 6 your new radius.

Formula of a circumference:

2πr

In this case

pi is 3.14 and your radius is 6 and 2 is just 2.

2 x 3.14 x 6 = 37.68 inches.

Answer:

$1200.50

plug 5 for n

5000(.7)^4

5000*.2401

=1200.5

Step-by-step explanation:

[tex] \: \:\huge\mathfrak\purple{Answer...} \\ \\ here \: is \: your \: solution \\ \\ area \: of \: parallelogram = base \times height \: \\ \\ base = 10cm \: \\ \\ height = 6cm \: \\ \\ aera \: of \: pralelogram = 10 \times 6 \: \\ \\ area \: = 60 \: cm.sq \\ \\ \huge\mathfrak\red{hope \: it \: helps...}[/tex]

Answer:

3.57 mph I think it's 3.57 but if it's not I'm sorry

Using proportions, it is found that the number of stones in the bucket is of 36.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are 18 seashells, and the ratio means that for each seashell, there are 2 stones, hence:

S = 18 x 2 = 36.

The number of stones in the bucket is of 36.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

2

Step-by-step explanation:

The coefficient is the number attached to the variable

The variable is the letter

The constant is ta number all on it's own

Answer:

2

Step-by-step explanation:

The coefficient is the number with the variable. The 9 is a constant.

Answer:

a) P (0 defective component) = 0.5

   P( 1 defective component ) = 0.35

    P( 2 defective component ) = 0.15

b) P( 0 ) = 0

   p ( 1 ) =  1

   p ( 2 ) = 0.33

Step-by-step explanation:

p( no defective ) = 0.5

p( 1 is defective ) = 0.35

p( 2 is defective ) = 0.15

Given that 2 components are selected at random

a) Given that neither component is defective

Probability of 0 defective component = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) Given that one of the two tested component is defective

P( 0 defective ) = 0

P( 1 defective ) = P ( [tex]\frac{x=1}{x\geq 1}[/tex] ) = p( x = 1 ) / 1 - P ( x = 0 )

                                        = ( 0.5 )^1 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^1

                                        = 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 =  1

p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )

                         = ( 0.5 )^2 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^2

                         = 0.25 / 0.75 = 0.33

Answer:

Step-by-step explanation:

10x + 34 = 144

10x = 110

x = 11 weeks

Answer:

2 1/6 ft

Step-by-step explanation:

This problem bothers on subtraction of fraction

Given data

Total length of rope 3 1/2 feet

Let's convert mixed fraction to proper fraction = 7/2ft

First piece of rope = 1 1/3ft

= 4/3ft

Hence the second piece of the rope is = 7/2-4/3= 21-8/6= 13/6

Second piece = 2 1/6 ft

Answer:

9

Step-by-step explanation:

240x.70=168 left after 30% to teacher

168/2=84 left after putting half in jar

25 students x 3=75 given to students

84-75=9 left

48kg200g....…........

Answer:

(6*1000)g+25g=6025g

6025g*8=48200g

48kg200g. {:1000g=1kg}

filling, three-dimensional, unit squares

I hope this helps ^^

Answer:

Covering

two dimensional

unit squares

Step-by-step explanation:

Hope this helps! Sorry if incorrect

Answer: C, Bottom Left

Step-by-step explanation:

The  function that models the depth, in feet, of the water at the pier yesterday, as a function of the time t in minutes past high tide is: 2 cos(π/740t)+6.

Amplitude

A = 8 - 6

A = 2 ft

Average depth

A = (4 + 8)/2

A = 6 ft

Hence:

A+B=8

-A+B=4

1/2t=12×60×20=740

w=2π/t=π740

When t=0

d=2sin4+6=8

4=π/2

Hence:

d(t)=2 sin(π/740t + 4)+6

2 cos(π/740t)+6

Therefore the function that models the depth, in feet, of the water at the pier yesterday, as a function of the time t in minutes past high tide is: 2 cos(π/740t)+6.

Learn more about function model here:https://brainly.com/question/17281973

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Answer:

B) (-6,9)

Step-by-step explanation:

since it's reflecting on the x-axis, the x is gonna stay the same. the y changes though. opposite of -9 is 9.

hope this helps <3

Answer:

B, (-6, 9)

Step-by-step explanation:

this is because it's like as if it was a mirror, so that is the correct answer

Answer:

A= ( 5 x 3 ) x [(9-5)x3 divided by 2]

15+6

=21

P= 5+5+3+9

=22

Answer: 10 groups

Step-by-step explanation:

Since we know she is making a group of 7 sheep, we can do 37-7 to get 30 sheep left

If she wants to find how many groups she can make we have to do 30/3 which gets us to 10 which is the number of groups she can do

I hope this helps

Answer:

Step-by-step explanation:

i dont know sorry

Answer:

a) section c

b) at a constant rate

c) below

A. 3m/s^2

B. 0 m/s^2

C. -3m/s^2

D. 1 m/s^2

Step-by-step explanation:

a) This graph models the change in velocity of time. Since when the velocity decreases over time, the acceleration is negative. This relationship is modeled in the interval from the 9th to 11th seconds which is section c.

b) If the graph is flat, it means the car is traveling at the same amount of meters per second. This means the car is traveling at a constant rate during section b.

c) During section A, the velocity in second 0 to second 4 increases by 12m/s. So, the acceleration is 3m/s^2. This is identical to finding the slope.

During section B, the velocity does not change at all, so the acceleration(and slope) is 0 m/s^2

During section C, over 2 seconds, from 9 to 11, the velocity goes from 12 m/s to 6 m/s, which is a change of -6 m/s. Therefore, the acceleration is -3m/s^2

During section D, over a span of 4 seconds(11 - 15), the velocity changes from 6 m/s to 10 m/s. That means a change of 4 m/s and the acceleration would be 1 m/s^2.

Answer:

(x^2-1)(x+1)=0

(x+1)(x-1)(x+1)=0

x=1; x=-1

Step-by-step explanation:

Answer:

(x^2-1)(x+1)=0

(x+1)(x-1)(x+1)=0

x=1; x=-1

Step-by-step explanation:

Answer:

Option C and D!

Step-by-step explanation:

When 9 is placed in the box after 7, we get:-

7 ÷ 9 = [tex]\frac{7}{9}[/tex] which is correct!

7 ÷ 9 can also be written as [tex]\frac{7}{9}[/tex]. So, this Option is right since the equation is correct when 9 is placed in the box!

When we place 9 in the box before [tex]\frac{1}{9}[/tex], we get:-

9 ÷ [tex]\frac{1}{9}[/tex] = 81

9 ÷ [tex]\frac{1}{9}[/tex]  equals 9 x 9 (take the reciprocal of [tex]\frac{1}{9}[/tex])

9 x 9 equals 81 which means the equation is correct when 9 is placed in the box!

Answer:

A. A boxplot of the  data has multiple large outliers.

D. A boxplot of the data shows a very slight skew.

Step-by-step explanation:

A) The normal distribution does not have outliers. The outliers are any point outside the 3σ interval which 99.7% of the data. The 0.3% data would not be outliers.

B) YEs the mean and median of the normal distribution are nearly equal. AS it is asymmetrical.

C) When the sample standard deviation is large the data is spread about the mean. The normal distribution  is flatter and wider

D) The normal distribution is never skewed.If one end is longer then the distribution is not assymmetric and the normal distribution asymmetric meaning half is the mirror reflection of the other half.

So A and D indicate circumstances where he not be safe to use a t procedure.

Answer:

D: 500

Step-by-step explanation:

This is the answer because 3,200 - 2,700 = 500. Can I have a brainliest?

                                    XxRoadToAcexX

Answer:

[tex]g\ o\ f(1) = 2[/tex]

Step-by-step explanation:

Given

The attached tables

Required

[tex]g\ o\ f(1)[/tex]

This is calculated as:

[tex]g\ o\ f(1) = g(f(1))[/tex]

From the attached tables,

[tex]f(1) = 5[/tex]

So, we have:

[tex]g\ o\ f(1) = g(5)[/tex]

From the attached tables,

[tex]g(5) = 2[/tex]

So, we have:

[tex]g\ o\ f(1) = 2[/tex]

Answer:

Look at the image.

Step-by-step explanation:

Answer:

The difference between acute angle and an isosceles triangle is that An acute triangle has all angles measuring less than 90º. While on the other hand The base angles in an isosceles triangle are of the same measurements.

in other words

(Isosceles triangles have two congruent sides and acute angles measure less than 90 degrees)

Step-by-step explanation: