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Aliun [14]
3 years ago
15

A spinner is divided into 4 equal - size sections. The sections 4 are red green orange and blue. If Joana spins the spinner twic

e what are the possible outcomes
Mathematics
1 answer:
ycow [4]3 years ago
6 0

Answer:

RR   RG   RO   RB

GG   GR   GO   GB

OO   OR   OG   OB

BB   BR   BG   BO

There are 16 possible outcomes.

Step-by-step explanation:

For this question, we combine the possibilities together.

R = red  G = green  O = orange  B = blue

There are 16 possible outcomes.

You can also find the total number of possible outcomes by using the formula for permutations.  n is the total number of choices.  r is the number you are examining.

\frac{n!}{(n-r)!}

\frac{4!}{(4-2)!} =12

This number doesn't include the outcome of having the same color twice.  There are four colors meaning that their four outcomes in which the same color is spun twice.

12 + 4 = 16

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Use the distance formula, show that the points (4,0), (2,1), and (-1,-5) form the vertices of a right triangle
mario62 [17]

Step-by-step explanation:

The distance formula between two points:

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

Substitute the coordinates of the points.

A(4,\ 0),\ B(2,\ 1),\ C(-1,\ -5)\\\\AB=\sqrt{(2-4)^2+(1-0)^2}=\sqrt{(-2)^2+1^2}=\sqrt{4+1}=\sqrt5\\\\AC=\sqrt{(-1-4)^2+(-5-0)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}=\sqrt{50}\\\\BC=\sqrt{(-1-2)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}=\sqrt{9+36}=\sqrt{45}

If a ≤ b < c are the sides of the right triangle, then

a² + b² = c²

\sqrt5

used (\sqrt{a})^2=a for a ≥ 0.

AB^2+BC^2=AC^2 therefore ΔABC is a right triangle.

6 0
3 years ago
For a button to fit through its button-hole the hole needs to be the size of the buttons diameter what size buttonhole is needed
Lena [83]

Answer:the size of the button hole is 2.35 cm

Step-by-step explanation:

For a button to fit through its button-hole, the hole needs to be the size of the buttons diameter.

The formula for determining the circumference of a circle is expressed as

Circumference = πd or 2πr

Where

d represents the diameter of the circle

π is a constant given as 3.14

From the information given, the circumference of the button is 7.38 cm. Therefore, the diameter of the button will be

d = circumference/π = 7.38/3.14

d = 2.35 cm

3 0
3 years ago
Antonio runs 5 3/4 miles a day. After 5 days, how many miles has he completed
soldi70 [24.7K]

Step-by-step explanation:

No of miles a day = 5.75 miles

No of miles after 5 days = 5.75 x 5 = 28.75 miles

4 0
3 years ago
1/4d=1/5g(g+e)-h <br> solve for d<br> Please show your work.
loris [4]

Answer:

See below

Step-by-step explanation:

To solve for d, multiply both sides of the equal sign by 4.

4(1/4d) = 4 (1/5g(g+e)-h)

4/4d = 4(1/5g^{2} + 1/5ge - h)

d = 4/5g^{2} + 4/5ge - 4h

5 0
3 years ago
Robert is looking to buy a deep fryer. He has narrowed his search down to two models. The following table gives the details of t
Zinaida [17]
The total cost for the entire life span of the deep fryer  is computed below:
Brand P total cost =Purchase price + total electricity cost 
                                = $144+($0.49x8x12x6)
                                =$426.24
Brand Q total cost =(Purchase price x 3)+ total electricity cost
                                =( $37.5x3)+($0.75x 8x12x6)
                                =   $544.5
Difference = Brand Q-Brand P
                   =$544.5-$426.24
                   =$118.26
Robert will have to choose Brand P because it will be cheaper by $118.26 than Brand Q in their entire lifetime.
                     
5 0
3 years ago
Read 2 more answers
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