The circumference of a circle is 28. Contained in that circle is a smaller circle with area 36π. A point is selected at random from inside the large circle. What is the probability the point also lies in the smaller circle?

Answers

Answer 1

Answer:

[tex]Pr = \frac{9}{49}[/tex]

Step-by-step explanation:

Given

[tex]d = 28[/tex] --- big circle

[tex]A_2 = 36 \pi[/tex] --- area of small circle

Required

Probability that a point selected lands on the small circle

Calculate the area of the big circle using;

[tex]A_1 = \pi r^2[/tex]

Where

[tex]r = d/2[/tex]

So, we have:

[tex]r = 28/2 = 14[/tex]

This gives:

[tex]A_1 = \pi * 14^2[/tex]

[tex]A_1 = \pi * 196[/tex]

[tex]A_1 = 196\pi[/tex]

The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle

This gives:

[tex]Pr = \frac{36\pi}{196\pi}[/tex]

[tex]Pr = \frac{36}{196}[/tex]

Simplify

[tex]Pr = \frac{9}{49}[/tex]


Related Questions

An ice skater covered 825 meters in 55 seconds. Find his unit rate in meters per second.

Answers

Answer:

825/55=15 meters per seconds

Step-by-step explanation:

Hope this helps please give brainliest!

HELP PLEASE WILL LEAVE GOOD RATING

Answers

Answer: s = 16

Step-by-step explanation:

234 = (s+2)(s-3)

s = 16, -15 (throw away -15, measurements cannot be negative)

This can be proven by substituting s for 16

234 = (16+2)(16-3)

234 = 18*13

234= 234

Hope this helps! Pls give brainliest :)

Please help me need ASAP

Answers

Answer:

(2)

The increased amount is 9

Una camisa me costo $10.500, con lo que gaste el 25% de mi dinero ¿cuanto dinero tenia? (puede ir con desarrollo)

Answers

Answer:

the money i have is $42,000

Step-by-step explanation:

Given that

The cost of the shirt is $10,500

And, it would be spend 25% of the money

So based on this, the amount of money at the time before purchasing is

= $10,500 × 100 ÷ 25

= $42,000

Hence, the money i have is $42,000

The same would be considered and relevant

Please help, I do not want any links. What is the value of 7x - 2x + 3, when x = 5?
28
48
39
24​

Answers

Answer:

28

Step-by-step explanation:

hope this helped

Find the missing side. Round
to the nearest tenth.
17
у
44
Х
x = [?]

Answers

Answer:

The answer for Acellus people is x=12.2

Step-by-step explanation:

The other legs of the right-angle triangle will be 12.23 units and 11.81 units.

What is trigonometry?

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The right angle triangle is shown with the angle of 44° and the length of the hypotenuse is 17 units.

Then the measure of the length of x will be given by a cosine angle of 44°.

cos 44° = x / 17

x = 12.23 units

Then the measure of the length of y will be given by a sine angle of 44°.

sin 44° = y / 17

y = 11.81 units

Thus, the other legs of the right-angle triangle will be 12.23 units and 11.81 units.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

The price of a dress was
reduced from $60 to $45.
By what percentage was
the price of the dress
reduced?

Answers

Answer:

25%

Step-by-step explanation:

$60 * .25 = $15

$60 - $15 = $45

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. Clayton gets paid at home for doing extra chores. Last week, he did 4 loads of laundry and 5 loads of dishes, and his parents paid him $14. The week before, he finished 4 loads of laundry and 10 loads of dishes, earning a total of $24. How much does Clayton earn for completing each type of chore? Clayton earns $ per load of laundry and $ per load of dishes.

Answers

Answer:

$1.00 per load of laundry, $2.00 per load of dishes

Step-by-step explanation:

4($1.00) = $4

5($2.00) = $10

This equals $14, when he does 10 loads of dishes the number changes to $20 and by adding $20 to $4, that equals $24.

The answer is $1.00 per a load of laundry, $2.00 per load of dishes

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Last week, he did 4 loads of laundry and 5 loads of dishes, and his parents paid him $14. The week before, he finished 4 loads of laundry and 10 loads of dishes, earning a total of $24.

Clayton's earnings will be calculated as,

4($1.00) = $4

5($2.00) = $10

This equals $14, when he does 10 loads of dishes the number changes to $20, and by adding $20 to $4, that equals $24.

To know more about an expression follow

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HELP NEEDED ASAP


Coach Jackson measured the height of each player on the Springfield Middle School volleyball
team.
Volleyball players' heights (in.)
56
60
64
54
58
62
What is the range of the players' heights?
inches

Answers

Range: 63-55= 8
So the range is 8!

hii! help asap. i’ll give brainliest thanks!

Answers

Answer:

A

Step-by-step explanation:

Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it.

Force equals mass times acceleration [ ].

For every action there is an equal and opposite reaction.

someone help me with this table !!!!!!!


*40 people responded that they use mouthwash.

*Of the people who use mouthwash, 30 people use floss.

*55 people responded that they do not floss.

*45 people responded that they don't floss and don't use mouthwash

Answers

Answer:  The image of the completed table is shown below

In the completed table, we have the following values (left to right)

Row One: 30, 10, 40Row Two: 15, 45, 60Row Three: 45, 55, 100

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

Explanation:

We're told that "40 people responded that they use mouthwash". That means we'll write "40" at the very end of the "use mouthwash" row. This represents the total number of people who use mouthwash, since we're underneath the "total" in that far right column.

Then we're further told that "Of the people who use mouthwash, 30 people use floss", so we'll write "30" in the first row, first column blank space. These are the people who both floss and use mouthwash. Because earlier we know 40 people use mouthwash overall, this leaves 40-30 = 10 people who use mouthwash, but they don't floss.

To summarize so far: In row 1, we have the following values from left to right: 30, 10, 40

The first two items of this row must add to the last item.

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

Now onto row 2

Since 40 people use mouthwash, and 100 people were surveyed, this means that 100-40 = 60 people do not use mouthwash.  The value 60 goes at the very end of row 2. This represents another total.

Like earlier, the first two items must add to the last. So 40+60 = 100.

Now turn to the fact that "45 people responded that they don't floss and don't use mouthwash". This tells us that "45" will be in the "no mouthwash" row and "don't floss" column.

We have 60 people who don't use mouthwash, and 45 of those people also don't floss. Therefore, 60-45 = 15 people do floss but they don't use mouthwash. We'll write "15" in the second row, first column.

Along row 2, we have the following values: 15, 45, 60

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

Row 3

For each column, add up the first two items to get the third one. This will lead to the totals along this bottom row.

Floss: 30+15 = 45Don't Floss: 10+45 = 55 .... note how this matches up with the third piece of information your teacher provided

The third column is already done, but again we can see that 40+60 = 100.

Furthermore, the first two items of the third row add to 45+55 = 100 which helps confirm our answers.

The full completed table is shown below.

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

To summarize, we are effectively just sorting the values given to us to write them into the table. Then we use a bit of algebraic detective work to find out what values are missing so we fill out the completed table.

Help me out please????

Answers

Answer:

fromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfrom

Step-by-step explanation:

Simplify: x + 2y - 3z + 4x – 5y + 6z

Answers

Answer:

x+4x+2y-5y-3z+6z

5x-3y3z

Which of the following expressions is equal to 6^4
a. 6 + 6 + 6 + 6 or 24
b. 6 · 4 or 24
c. 4 or or 6 4 · 4 · 4 · 4 · 4 · 4 4, 096
d. 6 · 6 · 6 · 6 or 1, 296

Answers

d is equivalent to 6^4
The answer is D

6^4 is equivalent to 6 x 6 x 6 x 6

Hope this helps :)

What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x^2

Answers

Answer:

a) 69.99

b) .20%

Your welcom ,.

Step-by-step explanation:

Help please helllllp

Answers

Answer:b

Step-by-step explanation:

b

b

b

b

b

Answer:

0 to 6 because the graph shows 6 and 70 has a 0 in it

A radio station disc jockey decides to set up three songs to play while he
takes a break. The first song lasts 2 minutes, the second song lasts
3 minutes and the third song lasts 2 minutes. What is the longest amount
of time the disc jockey can be gone on his break?

Answers

Answer:

7 mins

Step-by-step explanation:

3 songs

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

Song 1: 2mins

Song 2: 3 min

Song 3: 2 min

2+3+2 = 7

Hope I helped :)

Miko and her parents rent boats for the afternoon. Her parents rent a canoe and Miko rents a kayak. • It costs $20.49 to rent a canoe plus an additional $7.49 for each hour. • It costs $17.99 to rent a kayak plus an additional $5.99 for each hour. Miko and her parents rent one canoe and one kayak for the same amount of time, and their total cost for the rentals is $78.92. Write and solve an equation to determine the amount of time, in hours, that they rented the kayak and canoe.

Answers

Answer:

Kayak and Canoe rented for 3 hours

Step-by-step explanation:

Let the time for which they rent canoe & kayak = x hours  

Total canoe cost = 20.49 + 7.49x , Total kayak cost = 17.99 + 5.99x  

Given] Total canoe & kayak cost = 78.92

So, (20.49 + 7.49x) + (17.99 + 5.99x) = 78.92

20.49 + 17.99 + 7.49x + 5.99x =  78.92 ; 38.48 + 13.48x = 78.92

13.48x = 78.92 - 38.48 ; 13.48x = 40.44

x = 40.44 / 13.48 ; x = 3

3 hours

PLS HELP I WILL GIVE BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

ggfvnjuygvvbnnjhyff ggrgbj

Answer: The answer Is C

Step-by-step explanation:

PLS GIVE ME BRAINLIEST

Function f (x) = 25x/x + 3 has a discontinuity at x = –3. What are Limit of f (x) as x approaches negative 3 minus and Limit of f (x) as x approaches negative 3 plus?

Answers

Answer: C

Step-by-step explanation:

edge2021

paul is 5 feet tall and casts a 12-foot shadow. A nearby tree casts a 42-foot shadow. how tall is the tree

Answers

17.5 feet is how tall it is

if bob is 4 years older than twice his neighbor's age, and the sum of their ages is 67, what is bob's age ?

Answers

Answer:

bob would be 46

Step-by-step explanation:

take 67 subtract 4 to get 63 and divide it by 3 to get 3 groups of 21

add 21 and 21 to get 42+4=46

Which of these is not a possible r-value?

A. -0.75

B. 1.2

C. 0.5

D. -0.1

Answers

Answer:b 1.2

Step-by-step explanation:

Help me plsssssss????

Answers

Answer:

40 :)

Step-by-step explanation:

40 ‘’.........................!

What is a fraction equivalent to the mixed number 3 3/4

Answers

Answer:

15/4

Step-by-step explanation:

Answer:

15/4

Step-by-step explanation:

Please help me, the booklet says that the answer is $620, but I need working out

Answers

Given details :

The selling price of a chandelier is $899The profit gained js 45%

To find :

The cost price / Wholesale price

Solution :

We know that CP is ,

[tex]\sf\implies\:CP\:=\:\dfrac{100}{100\:+\:P\%}\:\times\:SP[/tex]

Put the values in the formula ,

[tex]\sf\implies\:CP\:=\:\dfrac{100}{100\:+\:45\%}\:\times\:899[/tex]

[tex]\sf\implies\:CP\:=\:\dfrac{100}{145}\:\times\:899[/tex]

Simplify 899 with 145 that gives us 6.2

[tex]\sf\implies\::\:CP\:=\:100\:\times\:6.2[/tex]

CP = $620

the equation s = p - 0.15 represents the sale price s of an item with an original price p, after a 15% discount. A T-shirt costs $12. What is the sale price?

Answers

Answer:

S = $10.20

Step-by-step explanation:

s = 12 - .15 (12)

s = 12 - 1.80

s = $10.20

If 15% comes off the price, then 85% of the price is left to pay. (100 - 15 = 85)

12 x .85 = $10.20

Please answer these, i’ll give brainliest.

Answers

Answer:

9) 21

10) 70

11) 64

12) 31

13) 83

14) 31

Step-by-step explanation:

too easy!!

25 POINTS!! Which of the following shows the number 10,000 written as a number having just three significant digits?

A. 1.000 x 10 to the 4rd power
B. 1.00 x 10 to the 4th power
C. 1.0 x 10 to the 4th power
D. 1 x 10 to the 4th power

Answers

Answer:

B. 1.00 x 10 to the 4th power

Step-by-step explanation:

Please answer I will give brainliest

Answers

Ok first you need to find the radius of the cone.

Since you’re given the circumference 3.14, we can use the formula for circumference 2piR to find the radius.

3.14=2(3.14)r
R=0.5

Now that you have the radius, you can find the volume of the cone

Since you’re using 3.14 for pi, the volume will be this: V=1/3(3.14)r^2 (Height)

V= 1/3(3.14)(0.5)^2(1.5)
V=0.3925
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