(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.)

16. What is P(red, yellow, blue)?

17. What is P(orange, yellow)?

18. P(green, blue, purple)?

19. P(pink)?

20. P(red, orange, yellow, green, blue, purple)?

Thank you!!

Answer:

1)  if Line AB is parallel to line CD then value of a is: a=3

2) if Line AB is perpendicular to line CD then value of a is: a=1

Step-by-step explanation:

We are given A(3,5), B(7, 10), C(0, 2), and D(1, a) we need to find value of a for which:

We can use slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] to find value of a according to conditions given.

We are given:

[tex]x_1=3, y_1=5, x_2=7, y_2=10 \ for \ line \ AB \ and \\\x_1=0, y_1=2, x_2=1, y_2=a \ for \ line \ CD \[/tex]

a) Line AB is parallel to line CD.

When 2 lines are parallel there slope is same so, using this we can find value of a

[tex]Slope \ of \ line \ AB = Slope \ of \ line \ CD[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1}= \frac{y_2-y_1}{x_2-x_1}\\\frac{10-5}{7-3}=\frac{a-2}{1-0} \\\frac{5}{5}=\frac{a-2}{1}\\1=a-2\\a=1+2\\a=3[/tex]

So, if Line AB is parallel to line CD then value of a is: a=3

b) Line AB is perpendicular to line CD.

When 2 lines are perpendicular there slopes are opposite of each other so, using this we can find value of a

[tex]Slope \ of \ line \ AB =-\frac{1}{Slope \ of \ line \ CD}[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1}=-\frac{1}{ \frac{y_2-y_1}{x_2-x_1}} \\\frac{y_2-y_1}{x_2-x_1}=-\frac{x_2-x_1}{y_2-y_1}\\\frac{10-5}{7-3}=-\frac{1-0}{a-2} \\\frac{5}{5}=-\frac{1}{a-2}\\1=-\frac{1}{a-2}\\a-2=-1\\a=-1+2\\a=1[/tex]

So, if Line AB is perpendicular to line CD then value of a is: a=1

perimeter = sum of all sides

= 4.3 + 7 + 4.3 + 7 + 4.3 + 7 + 2.7

= 36.6 cm

Answer:

36.6 cm

Step-by-step explanation:

Each side, starting with the one all the way to the left and going anticlockwise.

7 + 4.3 + 7 + 4.3 + 7 + (7 - 4.3 = 2.7) + 4.3 = 36.6

Answer:ndjsoalwjjdlq bc hxlansbdlmdnwb

Step-by-step explanation:

(12,2) (-7,5)

x1 y1. x2 y2

use this formula to solve:

y2-y1/x2-x1

=

(5)-(2)

(-7)-(12)

slope: -3/19

148+35=183

80+(-53)=27

(-125) x (-42)=5250

Answer:

9 times

Step-by-step explanation:

A dog snores 1/3 of an hour

60 minutes = 1 hour

Hence,

1/3 of 60 minutes = 20 minutes

Hence, every 20 minutes, the dog snores

This means in 1 hour, the dog snores 3 times

The dog slept for 3 hours

Hence,

1 hour = 3 times

3 hours = x

Cross. Multiply

x = 3 × 3 times

x = 9 times

The dog snores 9 times

Answer:

7.7 feet

Step-by-step explanation:

Let the distance from the base of the building to the foot of the ladder be represented by x. Ladder is 25 feet long, while window is 23.8 feet high.

The length of the ladder, the height of the window and the distance from base of building to foot of ladder describes a right angled triangle.

Thus, applying the Pythagoras theorem;

[tex](25)^{2}[/tex] = [tex](23.8)^{2}[/tex] + [tex]x^{2}[/tex]

625 = 566.44 + [tex]x^{2}[/tex]

625 - 566.44 = [tex]x^{2}[/tex]

58.56 = [tex]x^{2}[/tex]

⇒ x = [tex]\sqrt{58.56}[/tex]

      = 7.653

The foot of the ladder should be placed 7.7 feet away from the base of the building.

Answer:

3 daisies.

Step-by-step explanation:

Given that,

Samantha has 32 roses and 96 daisies.

She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.

For this, we need to first find the HCF of 32 and 96.

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

HCF = 32

No of daisies = 96/32 = 3

Hence, there are 3 daisies in each flower arrangement.

Answer:

80 is the breadth and 140 is the length

Step-by-step explanation:

Answer:

SAS.. Can I have brainliest?

Step-by-step explanation:

The percentage of red pencils Mike had is 75%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mike had 180 blue and red pencils and 45 were blue.

So, The number of red pencils is,

= (180 - 45).

= 135.

Therefore, The percentage of red pencils is,

= (135/180)×100%.

= 75%.

Some other concept related to percentage is percentage change,  

The net amount change will now be divided by the original sum and multiplied by 100%, giving us the percentage change, which is,

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Answer:

Cash = 240, Credit = 330, Gift = 30

Step-by-step explanation:

We know from this the precentage  of people using different payment methods

Cash = 40/100 = 40%

Credit card = 55/100 = 55%

Gift card = 5%

We can then find the number of people using each method regardless of total amount of people

Cash = 40% * 600 = 240

Credit = 55% * 600 = 330

Gift card = 5% * 600 = 30

Total = 240 + 30 + 330= 600

Answer:

240

Step-by-step explanation:

Set up a proportion.  Out of 100 people, 40 people paid with cash.  Out of 600 people,  x people paid with cash.

[tex]\frac{40}{100} =\frac{x}{600}[/tex]

Cross multiply and solve for x.

[tex]24000 = 100x\\24000/100=100x/100\\240 =x\\x=240[/tex]

240 customers paid with cash.

Answer:

37.3% is the take off

Step-by-step explanation:

so an easy route is to subtract the price after the reduction

89.99-56.49= 33.5 that is 37.3 percent

because 62.78% of 89.99 is 56.486723 round i and you get 56.49 so this is a check your work

Answer:

C.

Step-by-step explanation:

Evalute -2(x-5)

-2x+10

Answer:

-2x+10

Step-by-step explanation:

-2(x-5)

= -2x +10 { multiplying equation by -2}

Note:

(-)×(-) = (+)

(+) × (+) = (+)

(-) × (+) = (-)

(+) × (-) = (-)

Answer: The fact that beyblades spin at different speeds, you may want to get one that is fast while staying in control. Some have more mass than others leading them to spin slower, but the fact that they weigh so much may cause the other one to richochet off of it. Therefore get a big but fast beyblade that is very stable.

Answer:1. Takara Tomy Beyblade Burst B-148 Heaven Pegasus.

Step-by-step explanation:

Answer:

Im stupid so dont trust me but imma guess and say c

Answer:

YEH its B X to the second power Plus 10

Step-by-step explanation:

Answer:A

Step-by-step explanation:

You are trying to find the Y-Intercept. So because there is no slope it is the Y-int.Also hope this is correct, sorry if it is wrong.

Answer: 45

Step-by-step explanation:

Answer:

23.95(3)+ 0.24=150 multipy 3 and 23.95

71.85+0.24m=150 subtract 71.85 from 150

0.24m=78.15 divide 78.15 by 0.24

m=325 miles

Answer:

16k

Step-by-step explanation:

k=3log2

k=(48\16) log2

16k= 48log2

16k=log2 48

Numbers can be expressed in logarithms.

The value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

The expressions are given as:

[tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248}[/tex]

Express 48 as 3 * 16

[tex]\mathbf{log_248 = log_2(3 \times 16)}[/tex]

Split

[tex]\mathbf{log_248 = log_2(3) + log_2(16)}[/tex]

Express 16 as 2^4

[tex]\mathbf{log_248 = log_2(3) + log_2(2^4)}[/tex]

Rewrite as:

[tex]\mathbf{log_248 = log_2(3) + 4log_22}[/tex]

In logarithms:

[tex]\mathbf{log_aa = 1}[/tex]

So, we have:

[tex]\mathbf{log_248 = log_2(3) + 4(1)}[/tex]

[tex]\mathbf{log_248 = log_2(3) + 4}[/tex]

Substitute [tex]\mathbf{k = log_23}[/tex]

[tex]\mathbf{log_248 = k + 4}[/tex]

Hence, the value of [tex]\mathbf{log_248}[/tex] is [tex]\mathbf{k + 4}[/tex]

Read more about logarithms at:

https://brainly.com/question/8657113

Answer:

D: 101, 135, 131, 99, 138, 136, 140

Step-by-step explanation:

edg2020 (do not get this confused with the question: "which set contains no outliers"

D

I got it right on the test

Answer:

Y=2

x=7

but they all equal 3

Answer:

(x+5)(x-5)

Step-by-step explanation:

x^2 - 25

This can be written as

x^2 - 5^2

We know that this is the difference of squares

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

x^2 - 5^2 = (x+5)(x-5)

Answer:

B. (x + 5)(x - 5)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] x² - 25

25 = 5²:

[tex] \longrightarrow [/tex] x² - 5²

Factor the difference of two squares.

a² - b² = (a + b)(a - b):

[tex] \longrightarrow [/tex] (x + 5)(x - 5)

can't see the question its blurry

Answer:

The 1st graph is The answer

Answer:

Distance

80.7527089328897

Midpoint

(81.5,24)

Slope

7.27272727272727

x intercept

78.20

y intercept

−568.73

Step-by-step explanation:

Answer:

[tex]1 \frac{2}{21} [/tex]

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

Jesse has the largest range between the two players. The difference between their ranges is 2.

Step-by-step explanation:

Jesse's range: 14

Barbara's range: 10

Range is determined by using the largest number and the smallest number in a set of integers and subtracting them. Jesse's highest number was 24, and his lowest would be 10. 24-10=14.

Barbara's highest score was 22, while her lowest was 12. 22-12=10.

subtracting Jesse's range from Barbara's range would equal 2.  

(please don't cook me if this is incorrect but i'm 97% sure i'm right)

Given:

The vertices of the garden on a coordinate grid are (−1,5), (4,2) and (9,−4).

Each unit on the grid represents a foot and the material costs $8 per foot.

To find:

The cost for the material on the side between points (−1,5) and (4,2).

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the above formula, the distance between points (−1,5) and (4,2) is

[tex]d=\sqrt{(4-(-1))^2+(2-5)^2}[/tex]

[tex]d=\sqrt{(4+1)^2+(-3)^2}[/tex]

[tex]d=\sqrt{(5)^2+(-3)^2}[/tex]

On further simplification, we get

[tex]d=\sqrt{25+9}[/tex]

[tex]d=\sqrt{34}[/tex]

[tex]d\approx 5.83[/tex]

Now,

1 unit = 1 foot and 1 foot material costs is $8.

So, 1 unit material cost is $8.

Cost of material for 5.83 units is

[tex]5.83\times 8=46.64[/tex]

Therefore, the cost for the material on the side between points (−1,5) and (4,2) is $46.64.