A circle has an area of 45 square meters. What is the area of a sector with an arc measure of 70°? I need this asap someone help please

Area of a triangle is :

\(\qquad \sf  \dashrightarrow \: \dfrac{1}{2} \sdot(base) \sdot(height)\)

it's given that ;

\(\qquad \sf  \dashrightarrow \: \dfrac{1}{2} \sdot(10) \sdot(16)\)

\(\qquad \sf  \dashrightarrow \: 5 \sdot16\)

\(\qquad \sf  \dashrightarrow \: 80 \: \: m {}^{2} \)

Therefore, the area of triangle is 80 m²

Calculate the area of this figure:

- So the Area of this Figure is 80m².

"Problem has been Solve"

Dr. Grumman will pay $8143.08 to Social Security .

Given : In the year 2016 , the government took out 6.2% of a person's income for Social Security, until a person made $118,500 and in that year  Dr. Grumman earned $131,340 .

To find : how much Dr. Grumman paid to Social Security

Calculation :

The amount he paid will be 6.2 % of what he earned ie. 6.2 % of 131,340

Hence , ( 6.2 / 100 ) * 131,340 = 8143.08 .

Therefore , Dr. Grumman will pay $8143.08 to Social Security .

To learn more on social security follow link :

https://brainly.com/question/27784476

#SPJ1

Given : In the year 2016 , the government took out 6.2% of a person's income for Social Security, until a person made $118,500 and in that year  Dr. Grumman earned $131,340 .

To find : how much Dr. Grumman paid to Social Security

Calculation :

The amount he paid will be 6.2 % of what he earned ie. 6.2 % of 131,340

Hence , ( 6.2 / 100 ) * 131,340 = 8143.08 .

Therefore , Dr. Grumman will pay $8143.08 to Social Security .

To learn more on social security follow link :

brainly.com/question/27784476

#SPJ5

Answer:

x = 8

Step-by-step explanation:

51° = 4x + 19

32° = 4x

8 = x

Answer:

x = 8

Step-by-step explanation:

well, 4 x something + 19 = 51

51-19=32

32/4=8

so your answer is 8

4 x 8 + 19 = 51

Therefore , the solution of the given problem of unitary method comes out to be Daisy cream and Kremlin cream both have less cream per bulk 1 gallon and 4.5 gallons, respectively than Marble cream.

The objective can be accomplished by utilising what has already been discovered, taking advantage of this worldwide access, and including all essential components from earlier changeable study who employed a certain technique. If the anticipated claim outcome actually occurs, it will either be possible to contact the variable again or both important processes will undoubtedly miss the statement.

Here,

We must convert cups to gallons because daisy cream is sold in bulks of cups. Since a gallon of Daisy cream comprises 16 cups, one quantity of Daisy cream contains:

=> 16 cups per bulk = 1 gallon 16 cups per bulk = 1 gallon

Moscow cream is offered in bulk quantities of 4 1/2 gallons, which is one gallon.

Thus, we must convert pints to gallons. A gallon of Marble cream comprises eight pints, hence one quantity of Marble cream contains:

=> 40 pints in a bulk equal 1 gallon, 8 pints, or 5 gallons.

As a result, we can see that Marble cream, with 5 gallons per bulk, has the most cream.

Daisy cream and Kremlin cream both have less cream per bulk (1 gallon and 4.5 gallons, respectively) than Marble cream.

To know more about unitary method  visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Using the density formula, the cubic function that models the mass of of a block of ice in terms of its edge length x is:

m = 917x³.

Using the function, the edge length of the block of ice is of 0.4 m.

The density of an object is given by the mass of the object divided by it's volume, as follows:

d = m/v.

Hence the mass of the object is given by the following equation:

m = dv.

For this problem, we have that:

Hence the cubic function that models the mass of of a block of ice in terms of its edge length x is:

m = 917x³.

Considering the mass of the block of ice, the length is found as follows:

59 = 917x³

x = cubic root(59/917) -> (59/917)^(1/3) in any calculator

x = 0.4 m.

Using the function, the edge length of the block of ice is of 0.4 m.

More can be learned about the density formula at https://brainly.com/question/11836799

#SPJ1

The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

To solve more questions on inequalities, visit the link below -

https://brainly.com/question/16872672

#SPJ1

Answer:

9

Step-by-step explanation:

28 x 4=112

112 x 12= 1344

1344-875-330-130=9

Answer:

he will have $9 left over

Since the total of the inner angles of the rhombus is 360 degrees, the angle mV has a value of 90.

In Euclidean geometry, an angle is a shape made up of two rays, referred to as the angle's sides, that come together at a point in the middle known as the angle's vertex. An angle that is in the plane where the rays are placed can be created by two rays. An angle is also produced when two planes collide. They are known as dihedral angles. In planar geometry, an angle is the form produced by two rays or lines that share a termination. The English word "angle" comes from the Latin word "angulus," which means "horn." The vertex, also known as the sides of the angle, is where the two rays' common terminals meet.

given

m∠V + m∠W + m∠X + m∠Y = 360

10x -27 + 2x + 19 = 180

12x - 8 = 180

188 = 12x

x = 15.66

m∠V + m∠X = 180

2x = 180

x = 90

Since the total of the inner angles of the rhombus is 360 degrees, the angle mV has a value of 90.

To know more about angles visit:

https://brainly.com/question/14569348

#SPJ1

Answer:

72%

Hope this Helps! :)

Answer:

72%

Step-by-step explanation:

360. X

500. 100

you times 360 with 100= 36,000 then u divide by 500= 72%

Answer:

\(\displaystyle y=\sqrt{\frac{1}{2}x -1}\)

Step-by-step explanation:

We want to find the inverse of the function:

\(y=2x^2+2\)

To find the inverse of a function, we will flip the variables and solve for y. So:

\(x=2y^2+2\)

Solve for y. Subtract two from both sides:

\(x-2=2y^2\)

Divide both sides by two:

\(\displaystyle y^2=\frac{1}{2}x-1\)

And take the principal square root of both sides. Therefore:

\(\displaystyle y=\sqrt{\frac{1}{2}x -1}\)

Answer:68%

Step-by-step explanation:

just took this test

The percentage of values is within the interval 111 to 139 will be "68%".

According to the question,

Mean = 125

Standard deviation = 14

Let,

The random variable be "X".

Now, the probability:

→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)

                           = P(-14 < X - 125 < 14)

                           = P(-\(\frac{14}{14}\) < \(\frac{(X-125)}{14}\) < \(\frac{14}{14}\))

                           = P(-1 < Z < 1)

When, Distribution function "\(\phi\)" now,

= \(\phi\)(1) - \(\phi\)(-1)

= \(\phi\)(1) - 1 + \(\phi\)(1)

= 2 × \(\phi\)(1) - 1

= 2 × 0.8413 -1

= 1.6826 - 1

= 0.6826 or,

= 68%

Thus the above answer i.e., "option C" is correct.

Find out more information about probability here:

https://brainly.com/question/24756209

The axiom of regularity is a set theory principle which states that every non-empty set C contains an element that is disjoint from C.

The set theory concept rules that for every non-empty set C there is an element x of C such that x does not intersect C. The regularity axiom aims to establish that no non-empty set will have itself as an element.

The principle which is also called the axiom of foundation is a fundamental concept in set theory and credited to Zermelo–Fraenkel.

Learn more about set theory ; https://brainly.com/question/13458417

#SPJ1

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

To make a regular polygon with 96 sides we can take a circle as a starting point and divide it into 96 equal sides.

To create a regular polygon with 96 sides, we must take into account that all its sides must be equal, so we can take a circumference as a starting point. In this case, the circumference has 360°, so we must divide this into 96 parts and the result would be the distance between the edges of the polygon.

In this case, we must make a circle with a protractor and mark every 3.75°, when we have completed this procedure in the entire circumference we will have a regular polygon with 96 sides.

Learn more about polygons at: https://brainly.com/question/24464711

#SPJ1

Answer:50

Step-by-step explanation:

Answer:

See Below:

Step-by-step explanation:

Average is take by adding all the terms together and dividing by the number of terms. In this case it terms is people in the room.

22= (25+18+17+13+24+x)/6

Where 22 is the average age. The numerator is all the known ages added together, plus x which is the age of the person who just entered. Divided by 6 because you are finding the average age of 6 people.

22 = (25+18+17+13+24+x)/6     Multiply both sides by 6

132= 97+ x  Subtract 97 from both sides.

35 = x

The person who just entered the room is 35 years old.

Answer:

1 11/39

Step-by-step explanation:

Hope I could help

The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

A. P(0) = 740 / (1 + 73e^-0) = 740 / (1 + 73) = 740 / 74 = 10, so the answer is 10.

B. The answer from part A tells us that the trout population was 10 in the first month after it was introduced.

C. To find the number of trout in the lake after 1 year, we need to find P(12): P(12) = 740 / (1 + 73e^-0.07*12) = 740 / (1 + 73e^-0.84) ≈ 490, so the answer is 490.

D. To find the number of trout in the lake after 10 years, we need to find P(120): P(120) = 740 / (1 + 73e^-0.07*120) = 740 / (1 + 73e^-8.4) ≈ 740, so the answer is 740.

E. lim t→∞ P(t) = 740, so the answer is 740.

F. The answer from part E tells us that as the number of months t approaches infinity, the trout population will approach 740. This means that the trout population will eventually stabilize at 740 if no other factors such as predators, disease, or lack of food affect the population.

Learn more about demography in brainly.com/question/28243436

#SPJ1

The rounded off answers for the area of the rectangles are as follows: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

Rounding of a number is a mathematical process of approximating a given number to a specified level of accuracy or precision. Rounding is done to make numbers easier to work with or to communicate, especially when the number has many decimal places or digits.

The process of rounding involves changing a number to a nearby value that is easier to use or communicate, while still retaining its approximate value. The number is rounded to a certain number of decimal places or significant digits, depending on the required level of accuracy.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To check the answer, we can estimate 4751 as 4800, and then multiply 5 by 4800 to get the approximate product of 24,000.

2. 7 x 6000 = 42,000.

To check the answer, we can simply multiply 7 by 6000 to get the product of 42,000.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

To check the answer, we can estimate 5214 as 5200, and then multiply 6 by 5200 to get the approximate product of 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To check the answer, we can estimate 3867 as 3900, and then multiply 8 by 3900 to get the approximate product of 31,200.

To know more about significant digits, visit:

https://brainly.com/question/1658998

#SPJ1

The following are the scaled off results for the rectangles' area:: 1) 24,000, 2) 42,000, 3) 31,200, 4) 31,200.

The mathematical process of approximating a given number to a predetermined degree of accuracy or precision is known as rounding. In particular when a number has numerous decimal points or digits, rounding is done to make numbers simpler to work with or communicate.

In order to make a number simpler to use or communicate, a number is rounded to a more manageable value while retaining its general meaning.

Depending on the necessary level of accuracy, the number is rounded to a particular number of significant digits or decimal places.

1. 5 x 4751 ≈ 5 x 4800 = 24,000.

To verify the result, we can convert 4751 to 4800, then increase 5 by 4800 to obtain a result that is roughly 20,000.

2. 7 x 6000 = 42,000.

We can quickly multiply 7 by 6000 to obtain the result of 42,000 to verify the solution.

3. 6 x 5214 ≈ 6 x 5200 = 31,200.

By converting 5214 to 5200 and multiplying that number by 6, we can approximate the solution to be 31,200.

4. 8 x 3867 ≈ 8 x 3900 = 31,200.

To verify the solution, we can convert 3867 to 3900 and multiply 8 by 3900 to obtain a result that is roughly 31,200.

To know more about significant digits, visit:

brainly.com/question/1658998

#SPJ1

If Point A is located at (1, 2) and Point B is located at (4, 6), the length of the line between points A and B is 5 units.

To determine the length of the line between points A and B, we can use the distance formula, which is a formula used to calculate the distance between two points in a coordinate plane. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points and d is the distance between them.

Using the coordinates of points A and B, we can substitute their values into the distance formula to find the length of the line between them:

d = √((4 - 1)² + (6 - 2)²)

d = √(3² + 4²)

d = √(9 + 16)

d = √25

d = 5

Rounded to the nearest whole number, the length of the line is also 5 units.

In conclusion, we can use the distance formula to find the length of the line between two points in a coordinate plane. The distance formula uses the coordinates of the two points to calculate the distance between them. The resulting distance can be rounded to the nearest whole number, if needed.

To learn more about distance click on,

https://brainly.com/question/28658621

#SPJ1

Answer:

363.834

Step-by-step explanation:

multiply 627.30 with .58 and move the decimal points.

Answer:

  94.3

Step-by-step explanation:

You want to know how to fill in the proportion associated with the question, "What is 115% of 82?"

The diagram is intended to help you match parts of the question to parts of the proportion. The attachment shows the intended relation.

The solution is found by multiplying both sides by 82:

  (x/82)·82 = (115/100)·82

  x = 94.3

The question can also be written as a statement:

  "what" is 115% of 82

When written as an equation, "is" means "equals", and "of" means "times":

  what = 115% × 82

Of course, you can use any variable name of your choosing in place of "what". In your diagram, that is "x". And, you know how to write a percentage as a fraction or decimal, so this becomes ...

  x = 115/100 × 82 = 1.15 × 82

All that remains is to evaluate this expression.

  x = 1.15 × 82 = 94.3

So, the answer to the question is ...

  94.3 is 115% of 82.

The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.

If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

Learn more about the Isosceles triangle here: https://brainly.com/question/1475130

#SPJ4

Answer:

9/64

Step-by-step explanation:

it is just 3/8 x 3/8

Answer:

They are equivalent by Associative Property

Step-by-step explanation:

(3•6)•9 is 18•9 which is 162

3•(6•9) is 3•54 which is also 162

So the difference between the two expressions is that they are grouped differently. In the first expression the 3•6 had to be multiplied first. In the other expression the 6•9 had to be multiplied first. But really both were 3•6•9 and it's all multiplication and can happen in any order. But the order 3, 6, 9 did not change. That is Associative property that says you can multiply by grouping factors differently and still get the same answer.

Answer:

first find the value of 3 squared.

3 x 3

now multiply.

It would be 9.

Now multiply by 2.

2 x 9 = 18

Finally, subtract.

18 - 8 = 10

▬▬▬▬▬▬▬▬

Hope this helps :)

......