Follow the steps to find the
area of the shaded region.
Finally, subtract the triangle
area from the sector area to
find the area of the shaded
region.
129°
Sector Area = 72.0472 cm²
Triangle Area = 24.8688 cm²
Area of the Shaded Region = [?] tm²
Round to four decimal places.
8 cm
8 cm

Answer:

Markup Percentage = 125%

Step-by-step explanation:

The wholesale price is $40, the "selling price" is $89.99.

90-40=50 (Profit)

Now that we know the profit , we need to find the percentage.

To find this percentage we can use the formula: (M=Markup percent)

\(M=profit/cost*100%\)

In this situation, we can insert PROFIT= 50, Cost=40

M=50/40*100

= 1.25*100

=125%

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Areas..

Bienvenidos al concepto de áreas.

Área de un triángulo = 1/2 * base * altura,

aquí, base = 250, altura = 180, así que obtenemos como

Área = 1/2 * 250 * 180

Área = 250 * 90

Área = 22,500 mtrs.

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

First, let's calculate the area of the triangular piece of land in square feet:

Area = (1/2) x base x height

Area = (1/2) x 250 ft x 180 ft

Area = 22,500 sq. ft

To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:

Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft

Area ≈ 2,094.2 sq. m

Rounding to the nearest tenth of a square meter, we get:

Area ≈ 2,094.2 sq. m

Therefore,

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

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The complete question:

A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters​

Answer:

0.339

Step-by-step explanation:

The car needs 59.5 gallons of gas for 714 ​a mile trip.

What is an integer?

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers.

Here, we have

Given: A particular hybrid car travels approximately 168 miles on 4 gals of gas.

We have to find the amount of gas required for the 714 ​-mile trip.

168 × d = 14 × g

168/14d = 1 g

12d = 1 g

1 gallon will take you 12 miles.

If you are given gallons, use the first one. If you are given miles, use the second one. You are given miles, so

= 714 miles ×(1 gallon/  12 miles)

= 59.5 gallons.

Hence, The car needs 59.5 gallons of gas for 714 ​a mile trip.

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The two numbers are 1 and 1.

Let the non-negative number be x and its reciprocal be y = 1/x

The sum of the two numbers is f(x,y) = x + y

= x + 1/x

= f(x)

For f(x) to be minimum, we differentiate it with respect to x and equate it to zero to find the value of x at which irt is minimum.

So, df(x)/dx = d(x + 1/x)/dx

= dx/dx + d(1/x)/dx

= 1 - 1/x²

Equating it to zero, we have

1 - 1/x² = 0

1 = 1/x²

x² = 1

Taking square-root of both sides, we have

x = ±√1

x = ±1

Since x is non-negative x = + 1

We differentiate f(x) again to determine if this value gives a minimum for f(x).

So, d²f(x)/dx² = d(1 - 1/x²)/dx

= d1/dx - d(1/x²)/dx

= 0 - × (-2/x³)

= 2/x³

Substituting x = 1 into the equation,

d²f(x)/dx² = 2/x³

= 2/1³

= 2 > 0.

So x = 1 is a minimum point for f(x)

Since x = 1 and y = 1/x, y = 1/1 = 1

So, the two numbers are 1 and 1.

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Answer:

72 cm²

Step-by-step explanation:

a = large rectangle  - small rectangle

a = (12 * 10) - (8 * 6)

a = 120 - 48

a = 72 cm²

Answer:

First I need the whole question and second I am guessing around 76 or 72.

Step-by-step explanation:

Answer: 40 years old.

Step-by-step explanation:

Let man's age = a

Let son's age = b

Since a man is 4 times as old as his son, therefore

a= 4b

In 5 years, he will only be 3 times as old as his son, therefore

a+5=3(b+5)

Apply substitution method :

4b+5=3b+15

b=10

a=40

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

The slope is undefined.

The graph will be a vertical line.

Step-by-step explanation:

just did it

The graph will be a vertical line. Option C is correct.

Given that,
The slope of the line is zero we have to determine what are the conditions.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
The slope of the line is zero,
m = 0
tanФ = 0
y / x = 0
for the above condition, Δy must be zero or Δx must be infinite and the line will be a verticle.

Thus, the graph will be a vertical line. Option C is correct.

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Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.

The correct answer is option D.

To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."

Let's analyze the given function and its graph to understand why the domain is "all real numbers."

The function y =  \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.

Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.

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Let's solve this problem step-by-step:

 \(\frac{3v}{7} =6\\\frac{3v}{7} *1=6\\\frac{3v}{7} *\frac{7}{7}=6\\ 3v = 6 * 7\\3v=42\\v=14\)

Thus v = 14

Answer: v= 14

Hope that helps!

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Log₁₆(256b) in terms of the logarithm of b, which is the factor that was multiplied by 256 inside the logarithm is  2 + log₁₆(b)

We can use the product rule of logarithms, which states that the logarithm of a product is equal to the sum of the logarithms of the factors.

Therefore, we can write

log₁₆(256b) = log₁₆(256) + log₁₆(b)

We can simplify log₁₆(256) as follows:

log₁₆(256) = log₁₆(16^2) = 2

Therefore, we have:

log₁₆(256b) = log₁₆(256) + log₁₆(b)

= 2 + log₁₆(b)

So, we have rewritten log₁₆(256b) in terms of the logarithm of b, which is the factor that was multiplied by 256 inside the logarithm.

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Answer:

9 1/8 ribbon would be remaining

Answer:

3x^2 +3x +16

Step-by-step explanation:

do you need an explanation? if so I can put it in the comments

Answer:good luck yo

Step-by-step explanation:2 times 5

The rate of inflation for potatoes was 21%, for oranges it was 40%, and for ground beef it was 67%.

The idea of rate is used in mathematics to describe how one quantity changes in relation to another. It is frequently expressed as a fraction or ratio and is a measurement of how quickly one thing is changing in relation to another.

For instance, velocity is the measure of how quickly a position changes in relation to time. Acceleration is the measure of how quickly a velocity changes with relation to time. The derivative of a function, which denotes the instantaneous rate of change at a specific location, is the rate of change of any function with regard to its independent variable.

The rate of inflation for each item can be calculated using the formula:

r = (P2/P1)¹/ⁿ - 1

where P1 is the price per pound in 2009 and P2 is the price per pound in the given year, and n is the number of years between the two prices (in this case, n = 1 year).

For Potatoes:

P1 = $0.620

P2 = $0.749

n = 1

r = (0.749/0.620)¹/¹ - 1 = 0.21 or 21%

For Oranges:

P1 = $0.910

P2 = $1.280

n = 1

r = (1.280/0.910)¹/¹ - 1 = 0.40 or 40%

For Ground beef:

P1 = $2.251

P2 = $3.775

n = 1

r = (3.775/2.251)¹/¹ - 1 = 0.67 or 67%

So, the rate of inflation for potatoes was 21%, for oranges it was 40%, and for ground beef it was 67%.

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Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  b.  The cost of orange juice is $3 per jug.

Step-by-step explanation:

A "unit rate" is a rate that is "per <single item>" The rates given are per the following numbers of items:

  a: 3

  b: 1 . . . a unit rate

  c: 10

  d: 2 (dozen) or 24 (single roses)

The rate of selection B is the only unit rate.

Answer:

Continous distributions:

- A probability distribution showing the average number of days mothers spent in the hospital.

- A probability distribution showing the weights of newborns.

Step-by-step explanation:

A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).

A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.

A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.

A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.

The option that describes a continuous distribution include:

A continuous distribution simply means the probabilities of the values of a continuous random variable.

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Answer:

CED is a right angle, CEB=AEB

hopw that helps

Answer:

1st, 2nd, 5th

Step-by-step explanation:

Answer:

When the tourists came, the people of Zanzibar extended a warm welcome.​

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

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The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

Answer:

radius = 4 cm

Step-by-step explanation:

r≈4cm

Using the formula

V=πr2h

Solving forr

r=V

πh=1004.8

π·20≈3.99899cm

Answer:

48 gallons of paint are needed.

Step-by-step explanation:

Set up a proportion.

Like this: x is for the unknown number of gallons.

\(\frac{3}{75} = \frac{x}{1200}\\ 75(x)= 3(1200)\\ 75x=3600\\x= 3600/75\\x= 48 Answer\)

The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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