Anthony ordered two pizzas for a party. One was a small pepperoni pizza with a radius of 5 inches (5in.), and the other was a large cheese pizza with a 7in. radius. The circumference of the larger pizza is how much longer than the circumference of the smaller pizza?
The circumference of a circle is C=2πr.
Use π≈3.14 for the calculations.

Round your answer to the nearest hundredth.

The value added produced through the production of products and services in a nation over a specific time period is typically measured by its gross domestic product (GDP).

The value added produced through the production of products and services in a nation over a specific time period is typically measured by its gross domestic product (GDP). As a result, it also accounts for the money made from that manufacturing, or the total amount spent on finished goods and services (less imports).

GDP is calculated as private consumption plus gross domestic product (GDP), government investment, and government spending (exports – imports). Usually, GDP is estimated using the international standard by the nation's national statistical agency.

The average annual growth rate (AAGR) is the average rise or fall in the value of an investment asset, portfolio, or cash flow over a given time frame. By averaging out the provided year-over-year growth rates, the AAGR is calculated.

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The equation tan x = 4 cos x may be written as the nearest degree 4sinx^2 + sinx -4 = 0

What is Quadratic equation ?

Quadratic equation can be defined as the equation which is in the form of ax^2+bx+c = 0 .

Given ,

values of x from-180° to +180°, the graphs of

y = tan x and y = 4 cos x.

from this we get  ,

y = tanx

y = 4cosx

tanx = 4cosx

cos^2 x = sinx  

The equation

tan x = 4 cos x

has two roots in the interval -180° ≤x≤ 180°

And the given equation ,

4sinx^2 + sinx -4 = 0

Hence, The equation tanx = 4cosx .

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The length and breadth for the rectangular yarn will be length(y)=56 inch and breadth(x)=44 inch.

What is a rectangle?

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles. The opposite sides of the rectangle are equal in length which makes it different from a square.

For example, if one side of a rectangle is 20 cm, then the side opposite to it is also 20 cm.

Perimeter of a Rectangle:-

The perimeter of a rectangle is defined as the total distance covered by the outer boundary of the rectangle. It is measured in unit length. The formula of perimeter is given by:

Perimeter, P = 2 (Length + Width)

Now,

As Perimeter {2(x + y)} = 200inch

and y-x=12inch

Hence,

x + y =100

y-x=12

adding both equations we get

y=56 inch and x=44inch

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The approximate values for the given expressions, will be 240, 250, 220 and 270

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

Given are some expressions, we need to solve them by adding or subtracting, and then approximate the results,

1) 349.6 - 112.8 = 236.8 ≈ 240

2) 173.3 + 78.4 = 251.7 ≈ 250

3) 817.2 - 597.1 = 220.1 ≈ 220

4) 108.8 + 159.3 = 268.1 ≈ 270

Hence, the correct values will be 240, 250, 220 and 270

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Each red block has area of  [tex]\frac{7}{12}[/tex] square unit.

The area of the red rectangle is = [tex]\frac{7}{8}[/tex]×  [tex]\frac{2}{3}[/tex] = [tex]\frac{7\times 2}{8\times 3}[/tex] = [tex]\frac{7}{12}[/tex] square unit.

What is area of rectangle?

The area of a rectangle occupies is the space it takes up inside the limitations of its four sides. The dimensions of a rectangle determine its area. In essence, the area of a rectangle is equal to the sum of its length and breadth.

Here the given rectangle measures are,

Length of the rectangle = [tex]\frac{7}{8}[/tex]

Breadth of the rectangle = [tex]\frac{2}{3}[/tex]

Now area of the rectangle = length × breadth

=> A = lb

=> A= [tex]\frac{7}{8}[/tex]×  [tex]\frac{2}{3}[/tex] = [tex]\frac{7\times 2}{8\times 3}[/tex] = [tex]\frac{7}{12}[/tex] square unit.

Hence each red block has area of  [tex]\frac{7}{12}[/tex] square unit.

The area of the red rectangle is = [tex]\frac{7}{8}[/tex]×  [tex]\frac{2}{3}[/tex] = [tex]\frac{7\times 2}{8\times 3}[/tex] = [tex]\frac{7}{12}[/tex] square unit.

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Between the points (9, 5) and (5, 4), the supplied line must have a 1/4 slope.

A line's tangent angle to the horizontal creates the slope of the line. Specifically, m = tanx, with x in degrees.

The line that intersects (9, 5) and (5, 4).

Given as m = (y2 - y1) / (x2 - x1), the slope of the line.

Replacing the tenth (9,5) and (5, 4).

As seen in the equation above, m = 1 / 4 m = 4 - 5 / 5 - 9

The needed slope of the provided line, which goes through the points (9, 5) and (5, 4), is therefore 1/4.

Between the points (9, 5) and (5, 4), the supplied line must have a 1/4 slope.

The complete question is,

Calculate the slope of the line that goes through (9, 5) and (5, 4).

Write your response as an integer, a correct fraction, or both to make it as simple as possible.

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Union of set A and B is {1, 9, 10, 12}

A set comprises elements or members that can be mathematical objects of any sort, including numbers, symbols, points in space, lines, other geometric forms, variables, or even other sets. A set is the mathematical model for a collection of various things.

The components from both sets A and B, or both sets together, make up the union of the two sets A and B. It is represented by the letter "U." For instance, if set A = 1, 2, 3, and set B = 4, 5, then A U B = 1, 2, 3, and 4, respectively. A U B is pronounced "A union B."

The set that contains every element of the supplied sets is the union of two or more sets. The symbol "U" can be used to represent a union of sets. Assume that X U  Y may be used to represent the union of two sets, X and Y.

Set A = {9, 10, 12}

Set B = {1, 9, 12}

Union of set A and B is {1, 9, 10, 12}

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The amount of money she will save if she pays off the loan in two and a half years instead of three years would be = $34

Interest rate is the amount of money an individual receives in addition to the main amount of money that was invested or borrowed out after certain period of time.

The amount of money Ginger borrowed(p) = $850

The simple interest rate (r)= 8%

The time to pay off the loan(t) = 2.5 year

simple interest generated

= p×t×r/100

= 850×2.5×8 /100

= 17000/100

= $170

If she paid off in 3 years the simple interest would be

= 850×3×8/100

=20400/100

= $204

Therefore she would have save a total of = 204-170 = $34

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Answer:482

Step-by-step explanation:

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

A polynomial is a mathematical expression consisting exclusively of additions, subtractions, multiplications, and positive integer powers of variables. It is an expression of coefficients and uncertainty. x2 4x + 7 represents a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that can be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic formula that includes variables and coefficients. Addition, subtraction, multiplication, and non-negative integer exponents are the only operations that can be included in an expression. This type of statement is known as a polynomial.

given

Multiply each combination of terms:

Combine like terms.

3x^5 + 2x^4 + (-7x^3 + 12x^3) + (8x^2 - 6x^2 ) + (-28x - 4x) +14=

3x^5 + 2x^4 + 5x^3 + 2x^2 - 32x + 14.

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

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Answer:

4 x 6 = 24 six times four is twenty four

division one is 24 divided by 4 is 6

Answer:

5/6 yards

Step-by-step explanation:

7/6 yards of ribbon would be used to make the 7 identical bows.

To find out how much ribbon is used for each bow, we need to divide the total amount of ribbon on the spool by the number of bows.

To divide 8 1/6 by 7, we can convert the mixed number to an improper fraction first:

8 1/6 = (8 x 6 + 1) / 6 = 49/6

Now we can divide:

49/6 ÷ 7 = 7/6

So each bow would use 7/6 of a yard of ribbon. To write this in simplest form, we divide both the numerator and denominator by their greatest common factor. In this case, it is 1.

Therefore, 7/6 is the simplest form.

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Answer:

D)  4.45 m by 6.82 m

Step-by-step explanation:

The given dimensions of the floor plan are 4.9 cm by 7.5 cm.

Given scale factor = 0.011

⇒ 0.011 m = (0.011 × 100) cm = 1.1 cm

Therefore, every 1.1 cm on the plan equals 1 m in the actual room.

To find the dimensions of the actual room in meters, divide the floor plan dimensions by 1.1:

⇒ 4.9 ÷ 1.1 = 4.45 m (2 d.p.)

⇒ 7.5 ÷ 1.1 = 6.82 m (2 d.p.)

Answer:

The measure of ∠EFG is 95.

The equation of a circle passing through the point (- 2, - 3) is -

(x)² + (y)² = 13.

The general equation of a circle is -

(x - h)² + (y - k)² = r²

where (h, k) is the center and (r) is the radius.

Given is a that circle passes through (-2, -3).

For the center at origin, we can write -

(x)² + (y)² = r²

(x)² + (y)² = (- 3 - 0)² + (- 2 - 0)²

(x)² + (y)² = 9 + 4

(x)² + (y)² = 13

Therefore, the equation of a circle passing through the point (- 2, - 3) is -

(x)² + (y)² = 13.

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Answer:

We know that 37% of all college students were enrolled part time. If 5.9 millions college students were enrolled part time that year, we can use this information to find the total number of college students.

We know that the part-time enrollment percentage is represented by the ratio:

part-time students / total students = 37%

We can set up the equation:

5.9 million / x = 37/100

Where x represents the total number of students

To find the total number of students, we can cross-multiply and divide:

5.9 million * 100 = 37 * x

x = 5.9 million * 100 / 37

The total number of college students that year was:

x = 16,081,081

So the total number of college students that year was 16,081,081

The solution to the given inequality is x<2. Therefore, option C is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is |x|+1<3.

Here, subtract 1 on both the sides of an inequality, we get

x<2

Therefore, option C is the correct answer.

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Therefore , the solution of the given problem of ratio comes out to be

x= 3.74 teeth in another gear.

The simple formula "a / b" can be used to define an equality pair of integers "a" and "b," where "b" cannot be greater than zero. Two ratios are combined to form a ratio. If there were only one man with three women, the ratio might be represented as 1:3. The group is made up of 3/4 girls and 1/4 guys. A split between two or more objects, a statistic, or a piece of a part's volume are all examples of parts.

Here,

Given :

A 101-inch-diameter gear with 54 teeth was created by a machinist.

Therefore, another gear's diameter is 7 inches.

To find the teeth of other gear let it be x :

=> 101/54 = 7/x

=> x = 7*54 /101

=> x= 3.74

Therefore , the solution of the given problem of ratio comes out to be

x= 3.74 teeth in another gear.

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Given system of linear equations has No solutions i.e. D.

What are linear equations ?

A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation in two variables has the conventional form Ax + By = C. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.

As given

y=-3x-4

y=-3x  

      when we make a graph of these equations we can see that these are parallel lines and as parallel lines have no solution because they do not intersect at any point.

Hence, these equations have no solution.

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Answer:

A circle centered at the origin (0,0) can be represented by the equation (x-0)^2 + (y-0)^2 = r^2, where r is the radius of the circle.

Given that the circle is passing through the point (6,0), we can use this point to find the radius of the circle. The distance between the center of the circle (0,0) and a point on the circle (6,0) is the radius of the circle.

We can use the distance formula to find the radius:

r = √((x2-x1)^2 + (y2-y1)^2)

where (x1,y1) is the center of the circle and (x2,y2) is a point on the circle.

Plugging in the values:

r = √((6-0)^2 + (0-0)^2) = √(6^2) = √36 = 6

Therefore, the equation of the circle centered at the origin and passing through the point (6,0) is (x-0)^2 + (y-0)^2 = r^2, where r is 6.

So the equation of the circle is: x^2 + y^2 = 36.

Answer:

A group of 20 students will purchase 205 = 100 admission tickets

Half of them want cotton candy, so 20/2 = 10 students want cotton candy

1/4 of them want soda, so 20/4 = 5 students want soda

So in total, they would save 103 = $30 on cotton candy

And they would save 5*2 = $10 on soda

Therefore, they would save a total of $30 + $10 = $40 by using the promotional deal.

Given rectangle IJKL

From the diagram we can write the length os sides

IJ=4

JL=[tex]\sqrt{20}[/tex]

From the fundamental properties of rectangle

We can say each interior angle is 90°

Consider the above property we can say IJL is an right angle triangle

From the Pythagoras

The square of hypotenous side is equal to the sum of squares of the other two sides.

A²=B²+C²

JL²=LI² + JI²

[tex]( \sqrt{20} )^{2}=4^{2}+LI^{2}[/tex]

LI²=20-16

LI²=4

LI=√4

LI=2

Therefore ,we have two sides JI(length) =4 and LI(breadth) =2

Formula for Perimeter of the rectangle=2(length + breadth)

Perimeter of the rectangle =2(4+2)

Perimeter of the rectangle=2(6)

Therefore,Perimeter of the rectangle = 12 units

Formula for area of rectangle=length*breadth

Area of rectangle=4*2

Therefore,Area of rectangle=8 square units.

The surface area of the plant stand will be 533.8 square inches.

The formula for the surface area of a cylinder is A = 2πr² + 2πrh,

where r is the radius and h is the height of the cylinder.

To find the surface area of the plant stand, we can plug in the given values for r and h:

A = 2π(5²) + 2π(5)(12)

A = 2π(25) + 2π(60)

A = 50π + 120π

A = 170π

We can approximate π as 3.14

A ≈ 170 × 3.14 = 533.8 square inches

Thus, the surface area is 533.8 square inches.

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Answer:

it’s 4

Step-by-step explanation:

4*4*4=64

Answer: 12.5 in.

Step-by-step explanation:

84 / 21 = 4

50 / 4 = 12.5