Find the probability that a randomly placed point falls within the smaller, inner circle.

The unshaded portion has a radius of 5 centimeters. The shaded path has a width of 8 centimeters.


5/8

25/169

64/78.5

15/24

Answers

Answer 1

Answer:

The probability that a randomly placed point falls within the smaller, inner circle is 25/64

Step-by-step explanation:

The remaining part of question is attached

Solution

The area of smaller circle is

[tex]\pi r^2 = 25 \pi[/tex]

The area of large circle is

[tex]\pi r^2 = 64 \pi[/tex]

Area of the shaded region

Area of large circle - area of small circle

[tex]64\pi -25\pi = 39\pi[/tex]

Probability that the point falls in the region of smaller circle is

[tex]\frac{25\pi }{64\pi } \\\frac{25}{64}[/tex]

Find The Probability That A Randomly Placed Point Falls Within The Smaller, Inner Circle.The Unshaded

Related Questions

What is the perimeter of the house is c=5


I’m marking brainliest.

Answers

Answer:

132

Step-by-step explanation:

C=5

3c - 2 = 13

2c = 10

4c + 1 = 21

4c + 2 = 22

length = (3c- 2) + (4c + 1)

length = 13 + 21

length = 34

width = (4c + 2) + (2c)

width = 22 + 10

width = 32

Perimeter

p = 2l + 2w

p = 2*34 + 2*32

p = 68 + 64

p = 132

If a function is defined by the equation y=-5x+1 and the domain is the set {-2,0,2,4},
which set below represents the range of the function?
(1) {11, 12, 13, 14}
(3) {-10, -1,9,19)
(2) {-19, -9,1,10)
(4) {51, 53, 55, 57)

Answers

A

Identify the input values.

Since there is an even root, exclude any real numbers that result in a negative number in the radicand

The solution(s) are the domain of the function.

Mark Me Brainest

What are the solutions to the system of equations?
y=4x^2+6x−3
y=2x−3
Enter your answers in the boxes.
(_,_) and (_,_)

Answers

Answer:

(0, - 3 ) and (- 1, - 5 )

Step-by-step explanation:

Given the 2 equations

y = 4x² + 6x - 3 → (1)

y = 2x - 3 → (2)

Substitute y = 4x² + 6x - 3 into (2)

4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

4x² + 4x = 0 ← factor out 4x from each term

4x(x + 1) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x + 1 = 0 ⇒ x = - 1

Substitute these values into (2) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )

What is the length of the missing leg?

Answers

Answer:

a = 6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

a = a

b = 8

c = 10

Step 2: Solve for a

Substitute in variables [Pythagorean Theorem]:                                            a² + 8² = 10²Evaluate exponents:                                                                                         a² + 64 = 100[Subtraction Property of Equality] Subtract 64 on both sides:                      a² = 36[Equality Property] Square root both sides:                                                    a = 6

Find the value of x.

Answers

Answer:

70.86 degrees

Step-by-step explanation:

cos x = adjacent side / hypotenuse

= 2/6.1 = 0.32787

x = 70.86.

Answer:

x ≈ 70.9°

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{2}{6.1}[/tex] , then

x = [tex]cos^{-1}[/tex] ([tex]\frac{2}{6.1}[/tex] ) ≈ 70.9° ( to 1 dec. place )

Draw a box-and-whisker plot of the data. 37, 34, 26, 33, 38, 36, 30

Answers

I’m sorry this is messy but I hope this is right!! <3

Lynn spent $21.90 at A Hill of Beans. She bought 2 fruit smoothies at a
cost of $8.90. She bought 2 bear claws at $1.75 each. The rest of the
money was spent on 2 iced mochas. What is the cost of one iced
mocha?

Answers

Answer:

$0.3

Step-by-step explanation:

8.90x2=17.8

1.75x2=3.5

17.8+3.5=21.3

21.90-21.3=0.6

0.6/2=0.3

Answer is $0.3 hope this helps

Here’s the revenue and expenses for the month. Calculate whether Mia had a profit or loss

Answers

Answer:

300

Step-by-step explanation:

subract costs from revenue

There are 3 oranges, 8 peaches, and 4 apples in a fruit basket. David selected one piece of fruit at random. He was hungry and ate that fruit. He then selected a second piece of fruit. What is the probability that he selects two peaches?

Answers

Answer:

Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)

Step-by-step explanation:

Given:

Number of oranges = 3

Number of peach = 8

Number of apple = 4

Find:

Probabilty[First and second fruit is peach without replacement]

Computation:

Probablity of an event = Number of favourable outcomes / Number of outcomes

Probabilty[First fruit is peach] = 8 / [3 + 8 + 4]

Probabilty[First fruit is peach] = 8 / 15

Probabilty[Second fruit is peach] = [8-1] / [3 + 8 + 4 - 1]

Probabilty[Second fruit is peach] = 7 / 14

Probabilty[Second fruit is peach] = 1 / 2

Probabilty[First and second fruit is peach without replacement] = Probabilty[First fruit is peach] x Probabilty[Second fruit is peach]

Probabilty[First and second fruit is peach without replacement] = [8/15][1/2]

Probabilty[First and second fruit is peach without replacement] = 8 / 30

Probabilty[First and second fruit is peach without replacement] = 0.267 (Approx.)

The dot plot shows how many cats are owned by each person in a neighborhood: Dot plot titled Neighborhood Cats and labeled Number of Cats shows number line from 1 to 10. There are 6 dots over 1, 3 dots over 2, 2 dots over 3, 1 dot over 4, 0 dots over 5, 6, 7, 8, and 9, and 1 dot over 10. Is the median or the mean a better measure of center for these data and why

Answers

Answer:

Median, because the data are skewed and there is an outlier

Step-by-step explanation:

yo hoped it helped

Need help thanks please :)

Answers

Answer:

t:

[tex] \infty , - \infty [/tex]

meaning any number can substitute t and it would be the same answer.

Jack can program an app in 3 hours. Chris can program the same app in 8 hours. How long would it take them to program the same app working together?

Answers

Answer:

2 2/11 hours

Step-by-step explanation:

Let the number of hours

Jack spent programming his app = J

Chris spent programming his app = C

Total hours if they worked together = T

Hence,

1/T = 1/3 + 1/8

Lowest Common Denominator = 34

1/T = 8 + 3/24

1/T = 11/24

Cross Multiply

T × 11 = 1 × 24

T = 24/11

T = 2 2/11 hours

Therefore, it would take them to program 2 2/11 hours to program the same app working together

A cylinder and its dimensions are shown below.
5 in.
3.5 in.
Benton is painting the lateral surface of this cylinder. Which expression will give him
the number of square inches that he will be painting?

Answers

Answer: 2π(1.75)(5)

Step-by-step explanation:

Hoped this helped

Santiago buys a new television for $989.76. If
the sales tax rate is 8.75%, what is the total cost
of the television?

Answers

Answer:

$1076.36

Step-by-step explanation:

The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by                                                                       0.0875($989.76)

which can be combined to obtain the total cost:  (1.0875)($989.76) = $1076.36

help plzzzz i need to find the volume of the cone

Answers

Answer:

2h3-r5

Step-by-step explanation:

first 3-2=5

then 2h3-r=2h3-r5

finally 2h3-r5

Answer:

3.28653¯V7h

Step-by-step explanation:

Mi papá quiere comprar una camioneta que cuesta $373,990. Tiene que dar de enganche el 28%. ¿Cuánto es lo que tiene que pagar?

Answers

Answer:

i don't speak spanish sorry

Step-by-step explanation:

Answer:

104,717

Step-by-step explanation:

multiplica 373990 por 28% es .28

I need help

An amount of $16,000 is borrowed for 8 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?

Answers

Answer:

$28009.05

Step-by-step explanation:

Let us use the formula A = P(1 + r/n)^(nt)

Step 1: Convert 7.25 to decimal

[tex]7.25\% = 0.0725[/tex] in decimal form

Step 1: Percent means 'per 100'. So, 7.25% means 7.25 per 100 or simply 7.25 over 100. [tex]7.25 \div 100\\\\= \frac{7.25}{100}\\\\= 0.0725[/tex] If you divide 7.25 by 100, you'll get 0.0725 (a decimal number).

Step 2: Solve with the formula

[tex]A = 16000(1 + 0.0725)^8\\\\A= 28009.05[/tex]

Step 1: Add the numbers: [tex]1+0.0725=1.0725[/tex][tex]=16000\cdot \:1.0725^8[/tex][tex]=16000\cdot \:1.75056[/tex]Step2: Multiply[tex]=28009.05068[/tex]

Please solve this for me!

4c + 36 divided by 3 + 4(1 + 2) if c = 5

Answers

Answer:4 or 3.70

Step-by-step explanation:

well if c = 5 you should 1st do 4 x 5= 20 + 36 and that equals 56

now do (1+2)=3 x 4 =12 + 3 =15

now not sure what ur answers are but i got either 4 or 3.70

Good Luck!!!

1/2 divided by 4 =__

Answers

Answer: 0.125
1/2 dived by 4 = 0.125

Answer:

1/2 divided by 4 = 1/8 or 0.125

Step-by-step explanation:

1/2 divided by 4

(1/2) ÷ 4

= 1/2 × 1/4

= 1/8 or 0.125

A television shop sold a set for $799. It made a profit of $ 245.25. How much did the shop buy the television for ?

Answers

Answer:

the shop originally bought the television for $553.75

Step-by-step explanation:

this is because if they sold it for $799 and made a profit of $245.25 then you would subtract the profit from the price the TV sold for and you get $553.75

Minus $799 with $245.25 then you will get the answer.

I don’t know how to do this

Answers

Answer:

x-10

Step-by-step explanation:

R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?

Answers

Answer:

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

Step-by-step explanation:

Given

See attachment for complete question

Required

Express the answer in [tex]a * 10^b[/tex]

From the question, we have:

[tex]People = 4.46 * 10^9[/tex]

[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year

The number of breath is calculated by:

[tex]Overall = People * Breath[/tex]

So, we have:

[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]

Reorder

[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]

[tex]Overall = 37.464* 10^{9+6}[/tex]

[tex]Overall = 37.464* 10^{15}[/tex]

Using scientific notation [tex]a * 10^b[/tex];

The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]

So, we have:

[tex]Overall = 3.7464 * 10 * 10^{15[/tex]

[tex]Overall = 3.7464 * 10^{16[/tex]

By comparing the above with: [tex]a * 10^b[/tex]

[tex]a = 3.7464[/tex]

[tex]b = 16[/tex]

What is the reciprocal function of sine?
A. Cosine
B. Cotangent
C. Cosecant
D. Secant

Answers

Answer: its a C

Step-by-step explanation: The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

Paul ran 12 miles in 1 hour and 36 minutes. What was Paul's average rate, in minutes per mile?

Answers

Answer:

8 miles per minute

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

8 minutes per mile

HELP DUE IN 15 MINS!
Write the equation of a circle that has a center of (-3, 4) and goes through the point (2, 1).

Answers

Answer:

Step-by-step explanation:

You can find the left side of the equation for a circle easily enough. It's r^2 that's the problem. It is on the right.

Left Side

(x + 3)^2 + (y - 4)^2 = r^2

Right Side.

x1 = - 3

x2 = 2

y1 = 4

y2 = 1

Use the distance formula to get r^2

r^2 = (x2 - x1)^2 + (y2 - y1)^2

r^2 = (2 - - 3)^2 + (1 - 4)^2

r^2 = 5^2 + (-3)^2

r^2 = 25 + 9

r^2 = 34

Answer

(x + 3)^2 + (y - 4)^2 = 34

Please help! I will give brainliest to the first correct answer!

Answers

Answer:

A)

Step-by-step explanation:

check that the formula in A works . . .

the 7th term should be 320

a(320) = 5(2)^7-1

= 5(2)^6

= 5(64)

= 320

Help pleaseee anyone??

Answers

It 's c my friend

okayyyyyyyyyyyyyyy

Hi! The answer would be C!

Can someone please help me?
What is the length of the side
between point A and point B?
I
15 ft A
18 ft
B.
9 ft
27 ft

Answers

Answer:

195 answer.plus minus plus minus plus minus

Evaluate (2x + 3) + ( x- 5) show answer pls

Answers

Step-by-step explanation:

2x +3 +x-5

3x+3+(-5)

3x +(-2)

x= -2÷3

x=-6

HOPE IT HELPED

One batch of walnut muffins use 1 1/3 cups of walnuts.How many cups of walnuts are needed to 3 3/4 batches of muffins, answers are only 5 cups, 3 3/12 cups, 5 1/12 cups, and 4 cups, there are no 3 1/4 cups

Answers

Answer:

5 cups

Step-by-step explanation:

Let us set it up as a fraction.

[tex]\frac{\frac{11}{3}}{1}=3\frac{\frac{3}{4}}{x}[/tex]

Step 1: Divide the given values

[tex]\frac{11}{3}\div 1 \\\\=\frac{11}{3}[/tex]

Step 2: Multiply the result by the other value

[tex]3\frac{3}{4} \\\\3\frac{3}{4} \times \frac{11}{3}\\\\= 13\frac{1}{4}[/tex]

So, with this solution, the answer is [tex]13\frac{1}{4}[/tex]. However, the answer isn't included in the options provided, so that means the answer is 5 cups.

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