A circular patio has a diameter of 12 feet. Holly is stringing lights around the edge of the patio. Approximately how many feet of stringed lights does Holly need? Use 3.14 for π.

Answer:

C)  P(not orange) = 7/10; P(not green) = 11/20; P(not blue) = 3/4

Step-by-step explanation:

The sum of the probabilities of all outcomes must equal 1.

Total trials = 40

If he selects 12 orange marbles out of 40 trials, then

P(orange) = 12/40 = 3/10

⇒ P(not orange) = 1 - 3/10 = 7/10

If he selects 18 green marbles out of 40 trials, then

P(green) = 18/40 = 9/20

⇒ P(not green) = 1 - 9/20 = 11/20

If he selects 10 blue marbles out of 40 trials, then

P(blue) = 10/40 = 1/4

⇒ P(not blue) = 1 - 1/4 = 3/4

Answer:

[tex]12π[/tex]

Step-by-step explanation:

Perimeter of the semi-circle:

[tex] \frac{2 \times 12 \timesπ }{2} = 12π[/tex]

Answer:

< x = 120°

Step-by-step explanation

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120

Answer:

x = 14

Step-by-step explanation:

(4y - 10) + 3x = 180

in other hand: 4y - 10 = 9x + 12

so : (9x + 12) + 3x = 180

9x + 3x = 180 - 12

12x = 168

x = 168/12

x = 14

in file

Step-by-step explanation:

Answer:

81p^28

Step-by-step explanation:

3^4=81

7 times 4 =28

you would need to cross over

answer:

x = 0.875

explanation:

Answer: -2

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Given the following question:

Using the process of elimination, we can find the answer:

It's not option A, because in order for a table to be a linear function the change of x, and the change of y have to be constant. In this case our change in y goes through -2, to -1. Which means option A is not a linear function.

It's not option A because again in order for a table to be a linear function the change of x and the change of y have to be constant. In this case our change of x is constant but our change in y isn't.

It's not option D because in order to have a linear function, you have to be able to rewrite the function into slope intercept (y = mx + b) in this case we only have one real number which is 12, while having our x, and y variable. Which means option D isn't a function.

Which leaves option C or "4x + 3y = 12" which is your answer, because it can be rewritten in slope intercept form.

Hope this helps.

Using complementary angles, it is found that the solution to the trigonometric equation is of x = 20.

Complementary angles are two angles whose measures add to 90º.

If two angles a and b are complementary, we have that the sine of one is the cosine of other, that is:

[tex]\sin{a} = \cos{b}[/tex]

In this problem, the equation is:

[tex]\sin{(2x)} = \cos{(x + 30)}[/tex]

Hence, they are complementary, which means that:

[tex]2x + x + 30 = 90[/tex]

[tex]3x = 60[/tex]

[tex]x = \frac{60}{3}[/tex]

[tex]x = 20[/tex]

The solution to the trigonometric equation is of x = 20.

More can be learned about complementary angles at https://brainly.com/question/11161460

Answer:

- sinx

Step-by-step explanation:

This is a standard derivative and applies to angles in degrees or radians.

[tex]\frac{d}{dx}[/tex] (cosx ) = - sinx

Answer:

[tex]\huge\purple{- \frac{\pi}{180}\sin \: \bigg( \frac{\pi x}{180}\bigg)}[/tex]

Step-by-step explanation:

[tex]x \degree = \frac{\pi x}{180} \\ \\ \implies \: \cos \: (x \degree) = \cos \:\bigg( \frac{\pi x}{180}\bigg) \\ \\ \implies \: \frac{d}{dx} \cos \: (x \degree) = \frac{d}{dx} \: \cos \: \bigg( \frac{\pi x}{180}\bigg) \\ \\ = - \sin \: \bigg( \frac{\pi x}{180}\bigg)\frac{d}{dx} \bigg( \frac{\pi x}{180}\bigg) \\ \\ = - \sin \: \bigg( \frac{\pi x}{180}\bigg) \bigg(\frac{\pi}{180}\bigg) \\ \\ \huge \red{= - \frac{\pi}{180}\sin \: \bigg( \frac{\pi x}{180}\bigg)}[/tex]

Answer:

I need more information.

Step-by-step explanation:

Answer:

401

Step-by-step explanation:

i know the answer cuz i did this before.

The pattern is that for every minute four dots are added diagnally. To find how many doths there are at 100 minutes we will multiply 4 x 100 and then add one for the dot e started at. 4 x 100 = 400 + 1 = 401

At 100 minutes there will be 401 dots.

Answer:

1/4

Step-by-step explanation:

probability is the number of possible solutions over the number of outcomes, so in this example, you would take the 2 possibilities of getting a red M&M, and pot it over all the possible M&Ms you could get, so it is 2/8, which simplifies to 1/4, so you are correct

Answer:n

geadeeeeeeeeeee

Step-by-step explanation:

The mean of a dataset is the average of the dataset

The mean of all the sample data is 4.67 hours

The datasets are given as:

Week A: 6, 5, 5, 6, 4, 6, 8, 5, 2, 6

Week B: 0, 6, 6, 5, 4, 5, 6, 3, 4, 9

Week C: 4, 5, 6, 4, 3, 2, 2, 3, 12, 1

The mean of a dataset is:

[tex]\bar x = \frac{\sum x}{n}[/tex]

So, we have:

Week A

[tex]\bar x_A = \frac{6+ 5+ 5+ 6+ 4+ 6+ 8+ 5+ 2+ 6 }{10}[/tex]

[tex]\bar x_A =5.3[/tex]

Week B

[tex]\bar x_B = \frac{0+ 6+ 6+ 5+ 4+ 5+ 6+ 3+ 4+ 9}{10}[/tex]

[tex]\bar x_B = 4.8[/tex]

Week C:

[tex]\bar x_C = \frac{4+ 5+ 6+ 4+ 3+ 2+ 2+ 3+ 12+ 1}{10}[/tex]

[tex]\bar x_C = 4.2[/tex]

Calculate the mean for the three weeks

[tex]\bar x = \frac{5.3 + 4.8 + 4.2}{3}[/tex]

[tex]\bar x = 4.76[/tex]

Hence, the mean of all the sample data is 4.67 hours

Read more about mean at:

https://brainly.com/question/14532771

A series can be an arithmetic series or geometric series

The series is undefined

The given parameters about the geometric series are:

a1 = -2 --- the first term

r=-2 --- the common ratio

Sn=22 --- the sum of n terms

The sum of n terms of a geometric series is represented as:

[tex]S_n = \frac{a(r^n - 1)}{(r-1)}[/tex]

Substitute known values

[tex]22 = \frac{-2((-2)^n -1)}{(-2-1)}[/tex]

This gives

[tex]22 = \frac{-2((-2)^n -1)}{(-3)}[/tex]

Divide both sides by -2

[tex]-11 = \frac{((-2)^n -1)}{(-3)}[/tex]

Multiply both sides by -3

[tex]33 = (-2)^n -1[/tex]

Add 1 to both sides

[tex](-2)^n = 34[/tex]

Take the natural logarithm of both sides

[tex]n\ln(-2) = \ln(34)[/tex]

Solve for n

[tex]n= \frac{\ln(34)}{\ln(-2) }[/tex]

The above number is a complex number.

Hence, the series is undefined

Read more about geometric series at:

https://brainly.com/question/12006112

Answer:

16[tex]x^{2}[/tex]−24x+9

Step-by-step explanation:

A=s^2

s=4x-3

A=(4x-3)^2

(a-b)^2=a^2-2ab+b^2

A=16x^2-2(12x)+9

A=16x^2-24x+9

Answer:

You can use a sequence of two or more transformations to map a preimage to its image. You can map AABC onto AA"B"C" by a translation 3 units right followed by a 90° clockwise rotation about the origin.

A sequence of transformations to map a preimage to its image is reflection.

It is required to find the transformations to map a preimage to its image.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.

Given:

Transformation maps the pre-image, DEFG, to the image, D'E'F'G'. The transformation is a reflection.

The line of reflection must go through the center point. Two lines of reflection go through the sides of the figure. Two lines of reflection go through the vertices of the figure. Thus, there are four possible lines that go through the center and are lines of reflections.

Therefore, a sequence of transformations to map a preimage to its image is reflection.

Learn more about transformations  here:

brainly.com/question/26802929

#SPJ2

The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].

The distributive property is to make something easier to do or understand and to make something less complicated.

The expression is [tex]\rm -c^2 (3c - 2)[/tex].

On multiply, we have

[tex]\rm -c^2 *(3c) -c^2 (- 2) \\\\-3c^3 + 2c^2[/tex]

The distributive property is applied to multiply the expression [tex]\rm -c^2 (3c - 2)[/tex]. Then the result is [tex]\rm -3c^3 + 2c^2[/tex].

More about the distributive property link is given below.

https://brainly.com/question/13130806

Answer:

The distributive property is applied to multiply the expression . Then the result is .

What is distributive property?

The distributive property is to make something easier to do or understand and to make something less complicated.

The expression is .

On multiply, we have

The distributive property is applied to multiply the expression . Then the result is .

More about the distributive property link is given below.

brainly.com/question/13130806

Step-by-step explanation:

Answer:

Step-by-step explanation:

How to identify a linear line:

Based on our previous information:

The answer is the first choice since the equation holds the form y = mx + c and has a degree of one and has a constant slope value.

Hope that helps!

Answer: The perimeter is 122 m.

Step-by-step explanation: The perimeter equation of a pentagon is P = s + s + s + s + s

You can therefore add all the sides of the pentagon and this will be your perimeter.

Answer:

6.4 ounces

Step-by-step explanation:

Answer:

For the top half add all of the numbers of a given set together, then divide by how many numbers there are.

1.) 9

2.) 7

3.) 4

4.) 3

5.) 47.5

6.) 67 1/3

For the bottom half questions, literally the same thing.

7.) 9

8.) 34

9.) 66

10.) -28

11.) -21

12.) 3

Step-by-step explanation:

your welcome for doing you 2 minute homework

Answer:

x = 68 feet is your answer

9) pi/3 = 180 /3 = 60⁰

the other angle = 90-60=30⁰

10) 2pi/9 = 360/9 = 40⁰

the other angle = 90+40=130⁰

11) arc length = 2pi * r * (θ/360)

= 2pi * 16 * (270/360)

= 75.4 km

12)arc length = 2pi * r * (θ/360)

3 * 180/4 = 135⁰

135/360 =0.375

2pi * 6 * 0.375 =14.13 in

13) arc length = 2pi * r * (θ/360)

= 9 *2pi *(255/360) =40.05 mi

14)arc length = 2pi * r * (θ/360)

=23.56 mi

answer is 15 explained in image .

Answer:

30 degrees

Step-by-step explanation:

To figure out theta is using a bit of simple trigonometry.

2sin(theta) = 1

= sin(theta) = 0.5

Using arcsin (sin^-1) we can isolate x

x = arcsin(0.5)

x = 30