Chen is playing a game that requires each player to spin an arrow to one of four colors, equally divided: green, orange, purple, or yellow.

Four players before Chen spun the arrow to purple, but Chen really wants her arrow to land on green. How is the probability of Chen’s spin affected by the spins of previous players?

Chen's probability of landing on purple is increased because the previous players all landed on green.

Chen's chances of landing on purple are not affected by the other players landing on green.

Chen's probability of landing on purple is decreased because the previous players all landed on green.

Answer:

C. The perimeter of ΔABC is 7.6 units.

Step-by-step explanation:

Triangle ABC is given by the points A(3, 2), B(4, 4), and C(5, 1). Determine if each statement is True or False.

A. The perimeter of ΔABC is 9.9 units.

B. ΔABC is an equilateral triangle.  

C. The perimeter of ΔABC is 7.6 units.

Solution:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, scalene, acute, obtuse and right angled triangle.

The distance between two points (x₁, y₁) and (x₂, y₂) in the coordinate plane is:

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

Given the vertices of triangle ABC as A(3, 2), B(4, 4), and C(5, 1). Therefore we have to calculate the side lengths of the triangle:

[tex]AB=\sqrt{(4-3)^2+(4-2)^2}=\sqrt{1+4}=\sqrt{5} \\\\AC=\sqrt{(5-3)^2+*(1-2)^2}=\sqrt{4+1}=\sqrt{5} \\\\BC=\sqrt{(5-4)^2+(1-4)^2}=\sqrt{1+9}=\sqrt{10}[/tex]

1) Perimeter of the triangle = AB + AC + BC = √5 + √5 + √10 = 7.6 units

2) Since only two sides of the triangle are equal (i.e. AB = AC), hence the triangle is an isosceles triangle.

Answer:

cos(θ) = 3/5

Step-by-step explanation:

We can think of this situation as a triangle rectangle (you can see it in the image below).

Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.

Here we want to find cos(θ).

You should remember:

cos(θ) = (adjacent cathetus)/(hypotenuse)

We already know that the adjacent cathetus is equal to 3.

And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:

3^2 + 4^2 = H^2

We can solve this for H, to get:

H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5

The hypotenuse is 5 units long.

Then we have:

cos(θ) = (adjacent cathetus)/(hypotenuse)

cos(θ) = 3/5

Answer:

the area in square meters of the entire shape is = 17.4

Step-by-step explanation:

(8,7*4)/2=17.4. the formula for the area of a triangle is a=bh/2

Answer:

17.4m^2

Step-by-step explanation:

A=1/2×a×h

A=1/2×8.7m×4m

A=17.4m^2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Option A;  [tex]m \leq\frac{3}{5}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'm':}}\\\\5m+1\leq4\\--------\\\rightarrow 5m + 1 - 1 \leq 4 - 1\\\\\rightarrow 5m\leq3\\\\\rightarrow \frac{5m\leq3}{5}\\\\\rightarrow \boxed{m\leq\frac{3}{5}}[/tex]

⸻⸻⸻⸻

Any number that is less than or equal to the value of three-fifths would work.

The option that is less than or equal to (3/5) is option A.

Assuming that there are more options than the options shown, choose the numbers that are less than or equal to (3/5).

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

30 balloons

Step-by-step explanation:

$125 - $35 = $90

$90 ÷ $3 = 30

Problem 1

The two angles 6x and 30 are vertical angles, so they are congruent or the same in measure.

6x = 30

x = 30/6

x = 5 is the answer

====================================================

Problem 2

The two angles form a straight angle which is 180 degrees. We consider them a linear pair (since they are adjacent and supplementary).

So,

5x+(3x+12) = 180

8x+12 = 180

8x = 180-12

8x = 168

x = 168/8

x = 21 is the answer

Answer:

Step-by-step explanation:

The total amount of students is 240

240(50%) = 120 > 60 so, the first true or false is False

240(5%) = 12 = 12 so, the the second true or false is True

240(60%) = 144 = 144 so, the third true or false is True

132 + 12 = 144

Answer:

190 mm^2

Step-by-step explanation:

Surface area of a rectangular prism=

2*length*width+2*width*height+2*length*height

2*9*2+2*2*7+2*9*7=190

190mm^2

Answer:

Answer is in the picture

2 is Length

9 is width

and 7 is height

Answer:

y = 38

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Consider the angles in the large outer triangle, then

x + 46 + 78 = 180

x + 124 = 180 ( subtract 124 from both sides )

x = 56

Consider the 3 angles in the smaller inner triangle, then

y + x + 86 = 180 , that is

y + 56 + 86 = 180

y + 142 = 180 ( subtract 142 from both sides )

y = 38

Answer: 7.81

The formula is

y = 125* (1/2)^4

y = 125 / 16

y = 7.81

So at the end of the 4th week, the stock is worth only 7.81 dollars.

If that is not the motive and the first week doesn't count then the formula changes to...

y = 125 * (1/2)^(n-1)

y = 125 * (1/2)^3

y = 15.625 could be the other answer if you looked at it in that perspective

However, I would go with 7.81 as the answer.

Hope I helped :)

Answer:

y+1=3(x-4)

Step-by-step explanation:

Hi there!

We are given a slope of 3 and a point (4,-1).

We need to find the equation of the line in point-slope form

Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point

We have all of the needed information to substitute into the formula

First, let's label the values of everything to avoid any confusion

m=3

x1=4

y1=-1

now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*

y--1=3(x-4)

simplify

y+1=3(x-4)

That's it!

Hope this helps :)

Answer:

D

Step-by-step explanation:

Answer:

C) 3

Step-by-step explanation:

combine like terms

=> [tex]x^{2+3}[/tex] × [tex]y^{2+?}[/tex] = [tex]x^{5}y^{5}[/tex]

=> [tex]x^{5} y^{2+?}[/tex] = [tex]x^{5}y^{5}[/tex]

divide [tex]x^{5}[/tex] on both side to eliminate x

=> [tex]y^{2+?}[/tex] = [tex]y^{5}[/tex]

=> [tex]y^{2+3}[/tex] = [tex]y^{5}[/tex]

=> [tex]y^{5}[/tex] = [tex]y^{5}[/tex]

Answer:

288

Step-by-step explanation:

48÷2=24(9+3=12) =24×12=288

Answer:

10:25

Step-by-step explanation:

10 is the total of won games

10=won

+15=lost

---------------

25 games

therefore 10 is to 25

Answer: $13.75

Step-by-step explanation:

Since Mrs. Chin paid a 20 percent tip on the bill for lunch and the tip amount was $2.75, then the bill for lunch before the tip was added to it will be calculated thus:

Let the bill for lunch be represented by x. Therefore,

20% of x = $2.75

20/100 × x = $2.75

0.2 × x = $2.75

0.2x = $2.75

x = $2.75/0.2

x = $13.75

Therefore, the bill is $13.75 before the too was added.

Answer:

Step-by-step explanation:

Let the age of Kapil is 4x and that of Ramu is 5x.

After 5 years,

Kapil's age = 4x+5

Ramu's age = 5x+5

ATQ,

4x+5+5x+5 = 46

9x+10 = 46

9x = 36

x = 4

Present age of Kapil = 4x = 4(4) = 16 years

Present age of Ramu = 5x = 5(4) = 20 years

Answer: b

Step-by-step explanation:

becuase

Answer:

D. It is a one-to-one function.

Step-by-step explanation:

It passes the vertical line test so it is a function

It passes the horizontal line test so it is one-to-one

Answer:

whats that

Step-by-step explanation:

is it a fun game

Answer:

no

Step-by-step explanation:

Answer:

Step-by-step explanation:

The tangent to the angle makes an angle of 90° with the radius.

The interior angle of the equilateral triangle is 60, so that leaves 90-60 = 30° for the remaining angle with the tangent.

By the exterior angle theorem, 30°+x° = 60° (interior angle of the equilateral triangle), therefore

x = 60-30 = 30°.

Answer:

95°

Step-by-step explanation:

(x+49)+(x+59)=180

2x+108=180

2x=72

x=36

36+59=95

Answer:

7mm:10mm

Step-by-step explanation:

1cm =10mm

so 7:10

Answer: 336 ways

Step-by-step explanation:

Given

Sam has 8 models and he needs to place 3 on a shelf

3 models can be selected out of 8 in [tex]^8C_3[/tex] ways

It can further be arranged among themselves in [tex]3![/tex] ways

Therefore, total number of ways are

[tex]\Rightarrow 3!\times ^8C_3\\\\\Rightarrow 3!\times \dfrac{8!}{3!5!}\\\\\Rightarrow 8\times 7\times 6=336\ \text{ways}[/tex]

Answer:

Each section of the board is 1/3 or 0.334(0.333333333333) of a meter

Step-by-step explanation:

3/5 divided by 3 is the equation we have to do.

3/5 divided by 3 is also equal to 3/5 times the reciprocal of 3 or 1/3

3/5 * 1/3

3*1 = 3

5*3 = 15

3/15 which can simplify to 1/3. (divide numerator and denominator by 3.)

Each section of the board is 1/3 or 0.334(0.333333333333) of a meter

Answer:

11.9 km

Step-by-step explanation:

Distance travelled in 1 day = 7.14 / 3 = 2.38

distance he travels in 5 days = Distance travelled in 1 day x 5 = 11.9 km

Answer:

25

Step-by-step explanation:

20, 30, 40, 10, 15, 25, 35

Put the data in order from smallest to largest

10,15,20, 25,30,35, 40

The median is the middle

There are 7 pieces of data so the 4th piece is in the middle

10,15,20,     25,   30,35, 40

25 is in the middle so it is the median

[tex]\huge\text{Hey there!}[/tex]

[tex]\bullet \large\textsf{ When you are finding your median you have to place the values from}\\\large\textsf{from descending (least) to ascending (greatest) and find the number}\\\large\textsf{in the center (middle) of that.}\\\\\\\\\bullet\large\textsf{ So, when you see or hear the word median in mathematics thing of it is}\\\large\textsf{asking \bf what is your middle number set}[/tex]

[tex]\large\textsf{Original set: 20, 30, 40, 10, 15, 25, 35}\\\\\\\\\large\textsf{Converting set: 10, 15, 20, 25, 30, 35, 40}\\\\\\\large\textsf{Make sure it is even on each of your sides to justify your result to this}\\\large\textsf{data set/question}\\\\\\\large\textsf{So, far it is even on both sides when you land on \bf number 25}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf 25}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: [tex]3^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature on Monday was [tex]-5^{\circ}C[/tex]

By Tuesday, it becomes [tex]-2^{\circ}C[/tex]

Change in temperature is the difference between the two temperatures.

[tex]\Rightarrow \Delta T=-2-(-5)\\\Rightarrow \Delta T=-2+5\\\Rightarrow \Delta T=3^{\circ}C[/tex]

Therefore, the change in temperature is [tex]3^{\circ}C[/tex].

Answer:

-3√x

Step-by-step explanation:

(3-6) √x

= -3√x

d

Step-by-step explanation:

any three point line on a distinct line

i think....