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Georgia [21]
2 years ago
12

Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If

the disc is equally likely to land anywhere on the board, what is the probability that she will succeed? Explain

Mathematics
1 answer:
svetoff [14.1K]2 years ago
8 0

Answer:

Her probability of success is 1/2

Step-by-step explanation:

Firstly, we have to calculate the area of the entire board

That would be the rectangle of the measure 50 cm by 40 cm

We have the area as the product of this two

That would be 50 * 40 = 2,000 cm^2

Now, the value calculated is the area of the entire possible landing area

Secondly, we need to get the area that counts as a success

that would be the area of the triangle that has a base of 50 cm and a height of 40 cm

The area of this is the product of the two divided by 2

we have this as ;

50 * 40 * 1/2 = 1,000 cm^2

So, her probability of success is simply the area of the triangle divided by the area of the rectangle

= 1000/2000 = 1/2

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I am donating packages for Christmas drive. After the first week, I spent 126 to donate three children packages and 8 adult pack
anastassius [24]

Answer:

Step-by-step explanation:

Let the price for children and adults package be represented with x and y respectively.

For the first week the sum of the package will be as follows:

3x+8y = 126

For the two weeks after:

6x+4y= 108

So, we will be having two equations

3x+8y = 126..... (1)

6x+4y= 108.......(2)

These are simultaneous equations

From equation 1

3x+8y = 126

3x = 126-8y

X = 126-8y/3 ............. (3)

Put equation 3 into 2

6 ( 126-8y)/3 +4y = 108

756-48y/3 +4y = 108

756-48y+12y/3 = 108

Cross multiplying

756-48y+12y= 108×3

756-48y+ 12y = 324

Collecting like terms

756-324 = 48y-12y

432= 36y

Divide both sides by 36

432/36 = 36y/36

y= 12

Substituting y into equation 1

3x+8= 126

3x+96=126

3x= 126-96

3x= 30

Divide both sides by 3

3x/3 = 30/3

x = 10

Hence for each of the packages for children and adults. It will be 10 and 12 respectively.

8 0
2 years ago
We know that y=mx+b is the formula we use for lines. Is the value of "m" considered to be a term, a coefficient or a factor?
trapecia [35]
The m is the slope, I'd say it is a term
4 0
3 years ago
Which statement describes the definition of a function?
Tom [10]

Answer:

an activity or purpose natural to or intended for a person or thing.

Step-by-step explanation:

: >

3 0
2 years ago
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The sum of four consecutive integers is 48. What is the smallest of four integers?<br><br> Plz hurry
damaskus [11]

Answer:

the sum of four consecutive, odd whole numbers is 48

Step-by-step explanation:

8 0
3 years ago
Let's say Jose deposited $2,700 into a CD account with an Annual Percentage Rate
sergey [27]

Answer:

$3283.2

Step-by-step explanation:

Given data

Principal= $2700

Rate= 4%

Time= 5 years

Required

the final Amount A

The compound interest formula is

A=P(1+r)^t

Substitute

A=2700(1+0.04)^5

A=2700(1.04)^5

A=2700*1.216

A=$3283.2

Hence the balance in the account after 5 years is $3283.2

5 0
3 years ago
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