Use the table to write a proportion.

A square dartboard contains a red square and a blue square that overlap. A dart hits a random point on the board.

FinnZ [79.3K]

They want to know the probability of landing in the blue and red section at the same time. In other words, they want to know the probability of landing in the purple section.

We'll need the area of the purple square. This square is 1.5 inches by 1.5 inches. This is because 4 - 2.5 = 1.5

So the purple square has an area of 1.5*1.5 = 2.25 square inches

Divide this over the total area of the largest square (which is 9x9) to get 2.25/81 = 0.02777... where the 7's go on forever

Round that to two decimal places. The final answer is 0.03

Side note: 2.25/81 is equivalent to the reduced fraction 1/36 (express 2.25/81 as 225/8100 and then divide both parts by the GCF 225)

5 0

3 years ago

Could somebody please answer these four questions with simple yet explanatory answers?

Kamila [148]

1) Surface Area = 2(lw + lh + wh)
2(4*5+4*9+5*9) =202in^2
Surface Area=202in^2
Lateral Area= Perimeter of base * height
5+5=10 <--width+width
4+4=8 <---length + length
10+8=18 <--total perimeter
18 * 9=162in^2 <--multiplied the height +perimeter of base
Lateral Area=162in^2

2) Same concept as the previous one
Surface Area = 2(lw + lh + wh)
2(4*2+4*5+5*2) =76in^2
Surface Area= 76in^2

Lateral Area
Lateral Area= Perimeter of base * height
4+4=8
2+2=4
8+4=12
12 x 5=60
Lateral Area= 60in^2

7 0

3 years ago

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Find the LCM of this set of numbers. 5 and 25

Andrej [43]

Answer:

25

Step-by-step explanation:

LCM = Least Common Multiple

To find the LCM, start by listing multiples, or the product of any two numbers.

5: 5, 10, 15, 20, 25, 30, 35...

25: 25, 50, 75, 100, 125, 150, 175...

Now, let's find the LCM by selecting the smallest shared multiple out of the lists we made.

5: 5, 10, 15, 20, 25, 30, 35...

25: 25, 50, 75, 100, 125, 150, 175...

Therefore, 25 is the LCM of 5 and 25.

4 0

3 years ago

John Davis makes $9.75 an hour. He works four hours on Monday, six hours on Tuesday, five hours on Wednesday, five hours on Thur

Hatshy [7]

You are given John Davis’ rate which is $9.75 an hour. It is said that he works for four hours on Monday, six hours on Tuesday, five hours on Wednesday, five hours on Thursday, and seven hours on Friday. You are asked to find the gross pay of John Davis. All you need to do is to multiply the rate to the hour of work.

Monday: $9.75(4h) = $39
Tuesday: $9.75(6h) = $58.5
Wednesday: $9.75(5h) = $48.75
Thursday: $9.75(5h) = $48.75
Friday: $9.75(7h) = $68.25

To get the gross pay, add everything and you will get $263.25. The answer is letter D.

8 0

3 years ago

Create your own real-world example of a relation that is a function. Domain: The set of Range: The set of

ivanzaharov [21]

Answer:

C(t)=5000 -10t

Step-by-step explanation:

There are many examples in the real world of relationships that are functions.

For example, imagine a tank full of water with a capacity of 5000 liters, this tank has a small hole, by which 10 liters of water are lost every hour.

If we call C the amount of water in the tank as a function of time, then we can write the following equation for C:

$C(t)=C_{0}-at\\$

Where:

C (t): Amount of water in the tank as a function of time

$C_{0}$ : Initial amount of water in the tank at time t = 0

a: amount of water lost per hour

t: time in hours

Then the equation is:

$C(t)=5000 -10t$

The graph of C (t) is a line of negative slope. This relation is a function since for each value of t there is a single value of C.

Its domain is the set of all positive real numbers t between [0,500]

Because the time count starts at t = 0 when the tank is full and ends at t = 500 when empty

Its Range is the set of all positive real numbers C between [0,5000] Because the amount of water in the tank can never be less than zero or greater than 5000Litres

7 0

3 years ago

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