What is the area of sector GPH?
The area of sector GPH is square yards.
(Type an exact answer in terms of .)
P
G
15 yds
80°
H
Q
O
www

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

We can begin by using the fact that the selling price was 117.81, including a sales tax of 5%. Let x be the original price of the lawnmower.

After the discount of 32%, the selling price is:

0.68x + 0.05(0.68x) = 117.81

Simplifying and solving for x, we get:

0.68x + 0.034x = 117.81

0.714x = 117.81

x = 165

Therefore, the original price of the lawnmower was $165.

The sum of the percentage of students who are either female or have green eyes and the percentage of males who do not have green eyes is approximately 99.7%.

Percentage of Females: (1918 / (1918 + 516 + 27)) * 100 = (1918 / 2461) * 100 ≈ 78.0%

Percentage of Students with Green Eyes: ((516 + 3) / (1918 + 516 + 27)) * 100 = (519 / 2461) * 100 ≈ 21.1%

Percentage of Students who are either Female or have Green Eyes: 78.0% + 21.1% ≈ 99.1%

Therefore, approximately 99.1% of students in the survey are either female or have green eyes.

Percentage of Males with Green Eyes: (516 / (516 + 3)) * 100 = (516 / 519) * 100 ≈ 99.4%

Percentage of Males who do not have Green Eyes: 100% - 99.4% ≈ 0.6%

Therefore, approximately 0.6% of students in the survey are males who do not have green eyes.

To find the sum of these two percentages:

Sum of Percentages: 99.1% + 0.6% ≈ 99.7%

Therefore, the sum of the percentage of students who are either female or have green eyes and the percentage of males who do not have green eyes is approximately 99.7%.

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Answer: 4



Step-by-step explanation:

In mathematics, an inductive set is a collection of elements that satisfies certain properties based on the principle of mathematical induction.

It is a fundamental concept in set theory and mathematical reasoning.

The principle of mathematical induction states that if we have a property or statement that holds for a base case (usually the smallest element or a specific starting point) and if we can prove that whenever the property holds for a particular element, it also holds for the next element, then the property holds for all elements in the set.

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Answer:

-6

Step-by-step explanation:

If we convert the first function to the second form we get f(x) = -log2 (x+2) - 3. If we replace x with 6 we get ( -log2 8 ) -3. -log2 8 is equal to -3. -3 - 3 = -6.

Answer:

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find

The length of each side of the original square paper is √812.25 = 28.5 inches.

Let us assume that the length and breadth of the square paper are 'a' and 'b' respectively. Now, Fabrizio cuts the paper vertically to make two rectangular pieces.

Since the paper is cut vertically, it can be assumed that the breadth of the square is equal to the height of the rectangle.

Therefore, the perimeter of one rectangle can be calculated by the formula P = 2l + 2wwhere l = length and w = widthNow, P = 57 inches.

Therefore, 2l + 2w = 572(l + w) = 57l + 57w = 28.5(2l + 2w)Since the paper is cut into two rectangles, the length of the square paper is divided equally into the two pieces.

Therefore, the length of the side of the original square paper can be calculated as follows:Length of one rectangle = l = 28.5Width of one rectangle = w = 57 - 28.5 = 28.5

Therefore, the breadth of the original square paper = width of one rectangle = 28.5 inches.

The area of the square can be calculated as length * breadthTherefore, the area of the square paper is given by a * b = 28.5 * 28.5 = 812.25 square inches.

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Step-by-step explanation:

you just have to put that value in place of x in the function.

don't be so lazy you a hole do it yourself

The probability of the data less than or equal to 104 is 84%.

The probability of the data less than or equal to 104 is calculated by applying normal distribution formula.

In a standard normal distribution curve, we have the following;

One standard deviation below the mean = M - S.D = 34%

One standard deviation above the mean = M + S.D = 34%

The number of data that would be at 104 is calculated as;

M + S.D = 98 + 6

M + S.D = 104

So we can see that 104 lie at one standard deviation above the mean.

mean = 50%

one standard deviation above the mean = 34%

The total probability = 50% + 34% = 84%

P ( x <| 104 ) = 84%

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As per the given triangle, the base of the triangle, b, is 360 millimeters.

We may use the formula for the area of a triangle to determine the triangle's base, or b, given its 360 square millimetres in area, 41 mm for each side, and 40 millimetres in height.

The formula for calculating a triangle's area is:

Area = (base * height) / 2

Given that,

Area = 360 square millimetres

Height = 40 mm

Sides = 41 mm

So, 360 = (b * 40) / 2

720 = b * 2

b = 720 / 2

b = 360

Thus, the base of the triangle is 360 mm.

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This problem is relatively simple. Before we begin, it might be beneficial to imagine the graph as a vertical number line. Imagining it this way makes it easy to count the units between them and gives you the answer: [tex]$\boxed{4}$[/tex].

Here's a slightly more advanced way to think about it:

The example question tells us to subtract the distance between the two points. The formula for this is [tex]\sqrt{\big{(}(x_{2}-x_{1})+(y_{2}-y_{1})\big{)}^2[/tex], but for this question, let's say that it is [tex]\sqrt{(y_{2}-y_{1})^2[/tex], or, to simplify it even more, [tex]$|y_{2}-y_{1}|$[/tex]. Now that we know the formula, we can substitute our y-values into the last formula and solve. Let's say that Point C is our first point and Point D is our second.

[tex]\big{|}(-8)-(-4)\big{|} = \big{|}-8+4\big{|} = \big{|}-4\big{|} = \boxed{4}[/tex] , so [tex]$4\text{ units}$[/tex] is our answer.

Disclaimer: Neither of the last two formulas I provided is the actual formula, just a version of the Distance Formula that might be easier to understand. The first formula is the actual thing, but you will encounter this in math later in life, probably around 8th or 9th grade.

The sign of -xy cannot be determined without knowing the signs of x and y. It can be positive, negative, or zero.

The signs of x and y influence the sign of -xy. A positive result is produced when multiplying two numbers with the same sign (both positive or both negative), while a negative result is produced when multiplying two numbers with opposite signs (one positive and the other negative). Their product is 0 when either one or both of the values are zero.

Therefore, depending on the signs of x and y, the sign of -xy can be positive, negative, or zero.

-xy is negative if x and y are both positive.

-xy is positive if x and y are both negative.

Regardless of the sign of the other number, if either x or y is zero, then -xy is also zero.

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The central angle of the given circle is seen as: ∠GQH

A central angle of a circle is defined as an angle that exists between two radii with the vertex at the center. The central angle of an arc is also defined as the central angle subtended by the arc. The measure of an arc is the measure of its central angle.

We are given the arc name as Arc GEH.

From the definition above, it is very clear that the central angle will be ∠GQH because it includes the two radii with the vertex at the center.

Thus, we conclude that the correct central angle from the given arc is stated as ∠GQH

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The solution to the problem at hand i.e. to draw a horizontal line segment, OM, of any length, the longer the better using ruler, protractor, compass and coloured pencils

are as follows:

Step 1: Take a ruler and align it with a sheet of paper and draw a line. This line can be of any length, although longer lines are preferred.

Step 2: The line is now OM; we must now label its endpoints. Label the leftmost point O, and the rightmost point M.

Step 3: The coloured pencils are used to add decorations to the line. To add decorations, use coloured pencils to make patterns and stripes along the length of the line. This is entirely optional and based on personal preference.

Step 4: To ensure that the line is perfectly horizontal, the protractor should be used. Place the protractor on the line and make sure the zero-degree angle is at O. The line will be horizontal if it is parallel to the baseline of the paper.

Step 5: Using a compass, measure the length of OM to ensure that it is of the desired length.

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A graph of the linear equation y = 2x - 1 in slope-intercept form is shown in the image attached below.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, we have the linear equation:

y = 2x - 1

Lastly, we would use an online graphing calculator to plot the given linear equation as shown in the graph attached below.

In conclusion, the slope of this linear equation is equal to 2 and it does not represent a proportional relationship.

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Complete Question:

Plot the linear equation on the coordinate axis shown on the right.

She sold 27 appliances.

Given,

Lucy earns $400 a month in salary and she receives a commission of $18.

Last Month income = $886

Now,

Equation:

Monthly income = Fixed income + income from commission

$886 = $400 +  income from commission

Income from commission = $486

Commission for one appliance = $18

So,

Total items sold for the commission of  $486,

$486/$18

= 27

Hence total 27 appliances lucy sold.

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The horizontal slice of a rectangular prism will always be a rectangle. Therefore, the correct answers are options A, B and C.

A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.

The horizontal cross section of a rectangular prism will always be a rectangle.

Therefore, the correct answers are options A, B and C.

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Answer:

0.30

Step-by-step explanation:

To find the probability that a randomly selected individual would spend between 30 and 40 minutes on the treadmill, we need to calculate the z-scores corresponding to these values and then use the z-table or a statistical calculator to find the probability.

First, we calculate the z-scores using the formula:

z = (x - μ) / σ

where x is the value (in this case, 30 and 40), μ is the mean (42.5), and σ is the standard deviation (4.8).

For x = 30:

z = (30 - 42.5) / 4.8 ≈ -2.604

For x = 40:

z = (40 - 42.5) / 4.8 ≈ -0.521

Next, we look up the probabilities associated with these z-scores in the z-table or use a statistical calculator.

From the z-table or calculator, the probability corresponding to z = -2.604 is approximately 0.0047, and the probability corresponding to z = -0.521 is approximately 0.3015.

To find the probability between 30 and 40 minutes, we subtract the probability associated with z = -2.604 from the probability associated with z = -0.521:

P(30 ≤ x ≤ 40) = P(z = -0.521) - P(z = -2.604)

≈ 0.3015 - 0.0047

≈ 0.2968

Therefore, the probability that a randomly selected individual would spend between 30 and 40 minutes on the treadmill is approximately 0.2968, which is equivalent to 29.68%. Rounding up we will get 0.30.

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The length of each edge of the cube =  6 inches, Thus option B is correct.

The volume of a cube = 216 cubic inches,

length of each edge of a cube is an inch

To find the value of a:

The formula for the volume of a cube is [tex]a^{3}[/tex]

The volume of cubic = [tex]a^{3}[/tex]

V = [tex]a^{3}[/tex]

substitute the volume value given in the equation in the above formula

216 = [tex]a^{3}[/tex]

[tex]a = \sqrt[3]{216}[/tex]

[tex]a[/tex] = 6

a = 6inches

Therefore, the length of each edge of the cube is 6 inches.

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Manuel received $187.50, and George received $562.50 for the job.

Let's break down the information provided:

The job paid a total of $750.

George received $3 for every $2 that Manuel received.

To determine the amounts George and Manuel received, we can set up a ratio based on their earnings.

Let's assume Manuel's earnings as the base amount:

George's earnings : Manuel's earnings = $3 : $2

We can set up the following equation to solve for Manuel's earnings:

(Manuel's earnings / Manuel's earnings) = ($2 / $2)

Since the ratio is equivalent, we can say:

George's earnings / Manuel's earnings = $3 / $2

To find the amount each person received, we'll assign a variable to Manuel's earnings. Let's call it "x."

Therefore, George's earnings can be represented as "3x."

According to the given information, their total earnings should sum up to $750:

x + 3x = $750

Combining like terms, we have:

4x = $750

To solve for x, we divide both sides by 4:

x = $750 / 4

x = $187.50

Now, we can determine the amounts each person received:

Manuel's earnings = x = $187.50

George's earnings = 3x = 3 * $187.50 = $562.50

Therefore, Manuel received $187.50, and George received $562.50 for the job.

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Answer:

[A'] = {c,d,f,g,h,i,j,k,m,n,p,q,u,w,x,z}

Step-by-step explanation:

[A'] is read as the set of A complement, which is all the elements from the universal set that are not contained in set A.

Therefore, [A'] = {c,d,f,g,h,i,j,k,m,n,p,q,u,w,x,z}

Collecting the like terms in the expression 5z - 7 - 13z + 35 gives -8z + 28

From the question, we have the following parameters that can be used in our computation:

5z - 7 - 13z + 35

Consider an expression given as

Ax + Bx

Where A and B are constants and x is a variable

The terms Ax and Bx are like terms

using the above as a guide, we have the following:

5z - 7 - 13z + 35 = 5z - 13z - 7 + 35

Evaluate the like terms

5z - 7 - 13z + 35 = -8z + 28

Hence, collecting the like terms gives -8z + 28

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Answer:Peggy will spend approximately $363.52 constructing the pond and patio in her backyard. The correct answer is not provided among the options given (A, B, C).

Step-by-step explanation:

To calculate the cost of constructing the pond and patio in Peggy's backyard, we need to determine the areas of the pond and patio and then multiply them by their respective costs per square foot.

From the given scale, we can convert the dimensions of the pond and patio from centimeters to feet. According to the scale, 1 cm represents 5 ft.

Patio dimensions:

Width: 2 cm (2 cm * 5 ft/cm = 10 ft)

Length: 2 cm (2 cm * 5 ft/cm = 10 ft)

Area of patio = Width * Length = 10 ft * 10 ft = 100 ft²

Pond dimensions:

Width: 4 cm (4 cm * 5 ft/cm = 20 ft)

Length: 4 cm (4 cm * 5 ft/cm = 20 ft)

Area of pond = π * (Width/2)² = π * (20 ft/2)² = π * 10 ft² ≈ 31.42 ft²

Cost calculation:

Cost of pond = Area of pond * Cost per square foot = 31.42 ft² * $6/ft² = $188.52

Cost of patio = Area of patio * Cost per square foot = 100 ft² * $1.75/ft² = $175.00

Total cost = Cost of pond + Cost of patio = $188.52 + $175.00 = $363.52

Answer:

alternate interior angles are congruent

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer: 18.78 cubic feet

Step-by-step explanation:

The detailed analysis is attached below.