The area of a circle is 127 square units. What would the circumference of the circle be?

The two prime numbers that add up to 100005, based on the properties of prime numbers would be 2 and 100003.

To find the two prime numbers, the relevant relationship would be  the Goldbach's Conjecture. This posits that every even number greater than 2 can be expressed as the sum of two prime numbers.

So, to write an odd number as the sum of two prime numbers, one of the prime numbers has to be 2 because we know that 2 is the only even prime number.

The other number would therefore be:

= 100005 - 2

= 100003

100003 is a prime number so the two prime numbers are 2 and 100003.

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Answer:

x = 30

Step-by-step explanation:

x/2 = 12 + 3

x = 2(12+3)

x = 30

Answer:

bight BBC cczgvxgbcztv

The formatting guidelines for any kind of chart includes:

The formatting guidelines for a chart varies depending on the purpose of the chart and the audience it is intended for.

However, some general guidelines for chart formatting include:

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Solution

For this case we can use the following definition:

And from the figure given we have:

And replacing we got:

Answer:

15

Step-by-step explanation:

you would first have to put the numbers into this equation

180=(6x-8)+38+60

now you have to solve for x

180=(6x-8)+98

82=6x-8

100=6x

15=x

x=15

hope this helps! have a nice day :)

Answer:

its c

Step-by-step explanation:

because every angle in a acute triangle has to be less than 90 and the other two look bigger than angle x

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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819 in base five is equal to 13134.

Base five is a positional numeral system used in mathematics, having 5 as its base or radix. This means that it represents any real number using five different symbols, often the digits 0, 1, 2, 3, and 4. The ones place is represented by the digit on the right, the place of the five by the digit to the left, the twenty-fives place by the digit after that, and so on. Each digit in base five represents a multiple of a power of five.

To write 819 in base five:

Repeat steps 1-3 with the remainder (194):

Repeat steps 1-3 with the remainder (69):

Repeat steps 1-3 with the remainder (19):

The remainder (4) is less than 5, so write it down in the 5^0 place (rightmost digit).

Combine all the digits: 13134.

Therefore, 819 in base five is equal to 13134.

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Answer:

Step 2 shows Emily's first mistake.

Step-by-step explanation:

3(2) = 6

But instead of this Emily wrote 3(2) = 9.

Dish D has the density of clusters closest to 0.75 per square centimeter.

A substance's density is determined by how much mass there is per unit volume. It is typically expressed in units such as grams per cubic centimeter (g/cm³) or kilograms per cubic meter (kg/m³).

To find the density of clusters in each circular dish, we need to calculate the area of each dish and divide the number of clusters by that area.

The area of a circle is given by the formula A = πr², where r is the radius of the circle. In this case, we are given the diameter of each circular dish, which is 8 cm. Therefore, the radius of each dish is 4 cm.

The area of each dish is:

A = πr² = π(4 cm)² ≈ 50.27 cm²

Now, we can calculate the density of clusters in each dish:

Density in A = 53 clusters / 50.27 cm² ≈ 1.05 clusters/cm²

Density in B = 13 clusters / 50.27 cm² ≈ 0.26 clusters/cm²

Density in C = 151 clusters / 50.27 cm² ≈ 3.00 clusters/cm²

Density in D = 38 clusters / 50.27 cm² ≈ 0.76 clusters/cm²

Therefore, dish D has the density of clusters closest to 0.75 per square centimeter.

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Answer:

Step-by-step explanation:

Let the total value be T. If he gave them 33% each, they received

.33T each.

Jeff on the other hand still has T(1-.33-.33)=.34T, so Jeff has more than the others.

The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).

To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.

Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).

Using the midpoint formula, we can set up the following equations:

(x1 + x2) / 2 = -4

(y1 + y2) / 2 = 2

Substituting the coordinates of point A (-7, 3), we have:

(-7 + x2) / 2 = -4

(3 + y2) / 2 = 2

Simplifying the equations:

-7 + x2 = -8

3 + y2 = 4

Solving for x2 and y2:

x2 = -8 + 7 = -1

y2 = 4 - 3 = 1

Therefore, the coordinates of point B are (-1, 1).

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Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.

The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.

Here,

a.

P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)

= (4/52) * (1/12)

= 1/78

b.

P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)

= (13/52) * (5/12)

= 65/624

c.

P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)

= (12/52) * (6/12)

= 1/4

d.

P(Bert gets a red card and Ernie rolls a fifteen) = 0

e.

Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:

A regular 52-card deck contains 48 cards that are not Jacks,

so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.

On a 12-sided dice with 11 possible outcomes,

Ernie rolls a non-12th-number (1, 2, 3, etc.).

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Answer:

k(2,1) please mark me brainliest

The width of the deck given that the entire deck needs 40 feet to trim is 8 feet

Let's assume the width of the rectangular deck is "w".

The perimeter of the deck can be calculated by using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.

Here, the length of the deck is given as 12 feet.

So, P = 2(12 + w)

We also know that the total trim required is 40 feet.

So, P = 40 feet

Equating both the expressions for P, we get:

2(12 + w) = 40

Simplifying the equation, we get:

24 + 2w = 40

2w = 16

w = 8

Therefore, the width of the deck is 8 feet.

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Answer:

0, -3.

Step-by-step explanation:

12x(x+3)=0

Either 12x = 0 or (x + 3) = 0

x = 0/12 or x = -3

So, x = 0 or x = -3

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

He have to invest $527.777778 .

Step-by-step explanation:

X : 4.75% = $10,000 : 90

Answer:

The bench costs $350

Step-by-step explanation:

let the cost of the bench = x

x + (x + 94) = 794

2x + 94 = 794

2x = 700

x = 350

The bench costs $350 and the table costs $444.

Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

what is inequality ?

An inequality is a mathematical statement that compares two values or expressions using one of the inequality symbols: "<" (less than), ">" (greater than), "<=" (less than or equal to), ">=" (greater than or equal to), or "≠" (not equal to).

To write an inequality for the temperature during a winter day being less than 8 degrees Fahrenheit, we can use the inequality symbol "<" which means "less than."

So, the inequality would be:

Temperature < 8 degrees Fahrenheit

Therefore, Since we want the temperature to be less than 8 degrees Fahrenheit, 8 would be the constant that Digby should use in the inequality.

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Rollaway Skates is cheaper when the number of people is less than or equal to 4. For example, the cost for 2 people at Rollaway Skates is $10, while the cost for 2 people at Wheelie's Skates and Stuff is $106.

Wheelie's Skates and Stuff is cheaper when the number of people is greater than or equal to 5. For example, the cost for 6 people at Rollaway Skates is $30, while the cost for 6 people at Wheelie's Skates and Stuff is $118.

I hope this helps! Do you have any other questions?

Answer:

1.25(-xsquare - 8x + 16)

Step-by-step explanation:

pls give me brainliest

I'm not sure but I think so

Answer: C x+12=93

Step-by-step explanation:

the x=unknown, another way to write the equation is 93-12=x

Answer:

Step-by-step explanation:

if there is any triangle ABC and a,b,c are sides opposite angles A,B,C respectively , then

\(cos~A=\frac{b^2+c^2-a^2}{2bc} \\cos~B=\frac{c^2+a^2-b^2}{2ca} \\cos~C=\frac{a^2+b^2-c^2}{2ab}\)

B=101

a= 3 cm

b=y

c=1 cm

use formula for cos B

cos 101=cos(90+11)=sin 11

\(-sin~11=\frac{1^2+3^2-y^2}{2 \times 3 \times 1} \\-6 \times sin~11=1+9-y^2\\y^2=10+6~sin~11\\y^2\approx 10+6\times 0.1908\\y^2 \approx11.1448\\y\approx3.338\)

Answer:

2.16

Step-by-step explanation:

To find the length y:

Since we have an angle with two sides next to it, it is 'cosy', so we can use the cosine rule to find y. Let's make y = a for the formula.

Using the cosine formula:

a^2 = b^2 + c^2 - 2bc cos(A)

where b=1, c=3 and A=101

substitute these values in the formula:

a ^2 = 1^2 + 3^2 - 2(1)(3) × cos(101)

a ^2 = 4.647970...

Square root to find a:

a = √4.647970...

a = 2.16

thus, y = 2.16 to 3sf

To find the mean of departures, we add up all the data and divide by the amount of years, as following:

To calculate the median:

1. Organize the data in numerical order:

2. Divide the number of data by 2:

3. Go to the number in that position and average it with the next one to get the median:

The median is 10.65

The number that appears most often is 10.5

Thereby, the mode is 10.5

Where the above is given, Option B has the highest overall cost by  $685.50.

To find the   option would result in the highest overall cost for the employee, we need to calculate the total cost under each option.

Option A

Monthly premium: $94

Prescription coverage: 80%

Total cost under Option A

Monthly premium: $94

Prescription costs covered: 80% of $1,250

= $1,000 (since the employee estimates filling 10 prescriptions totaling $1,250)

Employee's portion of prescription costs: 20% of $1,250 = $250

Overall cost  = $94 + $250 = $344

Option B

Monthly premium $42

Prescription coverage  75% for first $500, then 85% for costs over $500

Total cost under Option B

Monthly premium: $42

Prescription costs covered up to $500: 75% of $500 = $375

Prescription costs covered over $500is

85% x  ($1,250 - $500)

= 85% of $750

= $637.50

Employee's portion of prescription cost is
($1,250 - $375) + ($750 - $637.50)

= $875 + $112.50

= $987.50

Overall cost: $42 + $987.50 = $1,029.50

Hence Option B has the highest overall cost by $1,029.50 - $344 = $685.50.

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The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).

Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.

Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.

With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.

This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.

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SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given data

STEP 2: Define the pie chart

A pie chart can only be used if the sum of the individual parts add up to a meaningful whole, and is built for visualizing how each part contributes to that whole.

Hence, the tool that would BEST demonstrate this data is the "PIE CHART"

I'm not sure if I did this right.

Answer:

2

Step-by-step explanation:

\(1^2+x^2=\sqrt{5}^2\)

\(x^2+1=5\)

\(x=\frac{+}{-} \sqrt{4}\)

2 or -2

Answer:

14

Step-by-step explanation:

umm I don't know if im dumb but isn't it just 3 times 12 giving you 36 and than 50 minus 36 with an answer of 14