Find the area of the shaded region.

Nadia made commission of $636 last week

She made $33072 commission in 2011.

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

Given,

Weekly commission of Nadia = 12%

Cost of stocks Nadia sold last week = $5300

Commission made by Nadia last week = 12% of $5300

                                                                 = (12/100) × 5300

                                                                 = 12 × 53

Commission made by Nadia last week = $636

No. of weeks in 2011 = 52 weeks

If she averages that same amount each week

Then commission made by her in 2011 = 52 × $636

                                                                 = $33072

Hence, $636 is the commission made by Nadia last week,

$33072 is the total commission made by Nadia in 2011.

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It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).

In the given question, we have to check that it is possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always grater than the third side.

To check this we firstly add the 2 and 3

2 + 3 < 7

5 > 7

Now we add 2 and 7

2 + 7 > 3

9 > 3

Now we add 3 and 7

7 + 3 > 2

10 > 2

It is not possible to construct a triangle whose sides are 2 cm 3 cm and 7 cm because the sum of two sides(2 cm and 3 cm) are smaller than third sides(7 cm).

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The exponential form of 5 * 5 * 7 * 7 * 7 is [tex]5^{2}[/tex] * [tex]7^{3}[/tex] . Exponential form can be written from the prime factorization of the number.

To get the exponential form of a number we have to write the prime factorization of that number. Prime factorization of the number is that number written as a product of prime numbers or as a product of powers of prime numbers. A basic exponential function from its definition is of the form f(x) = b x, where 'b' is a constant and 'x' is a variable. generally it refers to the positive valued function of a real variable. We can find the prime factorization of a number using factor trees, which are tools used to repeatedly break a number into products until all of the factors are prime numbers.

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The number of hours Bruce spent doing homework last week if he spent 1/5 of Darell's time is 1 hour.

Time Darell spent doing homework last week = 5 hours

Time Bruce spent doing homework last week = 1/5 of Darell's time

= 1/5 of 5

= 1/5 × 5

= (1 × 5) / (5 × 1)

= 5/5

= 1 hour

In conclusion, given the fraction of time Bruce spent doing homework last week, that means, he spent 1 hour doing homework.

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Answer:

A

Step-by-step explanation:

edge 2023

The measure of central tendency that would be the best to use as the most accurate indicator of the temperature for planning your wardrobe is the mean.

The ratio between the sum of all observations and the total number of observations in a data set is known as the mean in statistics. A data set's mean (average) is calculated by adding all of the numbers in the set, then dividing by the total number of values in the set.

When a data set is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.

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The correct option is (iii) Isosceles triangle is the one which has only 2 equal sides.

Every triangle is made up of three sides and three angles. A side is opposing an angle or a vertex if none of its ends is at the given angle's vertex. An angle is included between two sides if their common terminus is the angle's vertex.

Triangles are divided into one of three types based on the lengths of its sides: scalene, isosceles, or equilateral. A triangle is scalene if none of its sides are equal (of equal length). The triangle is isosceles if two or more of its sides are equal. A triangle is equilateral if all three of its sides are equal. By definition, all equilateral triangles are also isosceles.

Therefore, the correct answer is option (iii) Isosceles Triangle

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To find the height of the tree, we can use the tangent of the angle between the top of the tree and the tip of Ellie's shadow to find the height of the tree.

Tangent(theta) = Opposite / Adjacent

Opposite = height of tree

Adjacent = distance between Ellie and the tree

Tangent(theta) = height of tree / 16.2

We know that:

Tangent(theta) = 20.25 / 16.2

We can solve for the height of the tree by multiplying both sides of the equation by 16.2:

height of tree = Tangent(theta) * 16.2

height of tree = (20.25 / 16.2) * 16.2height of tree = 20.25

So, the height of the tree is 20.25 meters to the nearest hundredth of a meter.

Answer:  the height of the tree is 20.25 meters to the nearest hundredth of a meter.

Step-by-step explanation:

The factorization of given expression is 4(2d+5e).

The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.

The given expression is 8d+20e.

In the given expression there are two terms and factors them are

8d= 2×2×2×d

20e= 2×2×5×e

So, the greatest common factor is 4

Now, 4(2d+5e)

Therefore, the factorization of given expression is 4(2d+5e).

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The correct graph of the given systems of equations include the following: A. graph of two lines intersecting at two comma three with text on graph that reads One Solution 2, 3.

In Mathematics, a graph simply refers to a type of chart that is typically used for the graphical representation of ordered pairs (data points) on both the horizontal and vertical lines of a cartesian coordinate, which indicates the x-axis and y-axis respectively.

Next, we would use an online graphing calculator to plot the above system of equations with a point of intersection at (2, 3) as shown in the graph attached below.

By critically observing the graph of the given system of equations, we can logically deduce that it has only one solution, which is the ordered pair (2, 3);

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the square root 15v to the 4th power times square root of 2v to the 3rd power is 15v^2 x 2v^3, or 30v^5.

The square root of a number is a value that, when multiplied by itself, produces the original number. For example, the square root of 16 is 4 because 4 x 4 = 16. In mathematics, the square root of a number is written as a radical symbol, with the number inside the radical symbol. The square root symbol is also known as the radical symbol or radix.

To calculate this, first take the square root of 15v to the 4th power, which is 3v. Then take the square root of 2v to the 3rd power, which is 2v.

Finally, multiply 3v and 2v together to get the final answer of 30v^5.

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Complete questions as follows-
What is the square root 15v to the 4th power times square root of 2v to the 3rd power?

Answer: (-4, 1) (-8, 9)

Explanation: These points are where the two functions meet

Brad takes 6 minutes to run a mile assuming he can maintain the same pace.

Given that,

One lap around the inside lane of a standard track = 400m

Time taken for Brad to jog one lap around a track = 1 minute and 30 secs

We know that one mile = 1609.34 meters = 1600 meters (approximately)

Since Brad can jog 400m in 1 minute and 30 secs

1600 meters = 400*4 meters

Assuming that he can maintain the same pace:

so, the total time taken to run 1 mile = 1 minute 30 secs * 4 = 6 minutes

Hence, Brad takes 6 minutes to run a mile assuming he can maintain the same pace.

Correct question: One lap around the inside lane of a standard track is equal to 400 meters: Brad jogs one lap around a track in one minute and 30 seconds. Assuming he can maintain this pace, how long will it take him to run a mile? Round your answer to the nearest tenth of a minute.

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The leading coefficient in the polynomial 2v³ +4v² + 1 will be A. 2

The term with the highest power of x is the leading term in a polynomial. As an illustration, the leading term in 7 + x + 3x² is 3x².

The leading coefficient is the number in front of the variable with the highest power

A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.

In this case, this will be 2v³. The coefficient is 2.

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Answer:

-8

Step-by-step explanation:

Since it tells you that y=4x you can use that to replace y in the next equation so now it's

X-2(4x)=56

Distribute the -2

X-8x=56

Subtract -8x from x

-7x=56

Divide by -7

X=-8

Answer:

x=−8

y=−32

pspdwdpvprngbpnrpt

Comparing the given expression with the slope-intercept form, the intercept value is calculated. And the value is -2/5.

A line's slope gives information about its steepness or indicates how much y rises as x rises. The equation is typically written as y=mx+b in slope-intercept form. The slope in this equation is represented by the letter m, and the y-intercept is represented by the letter b. The y-intercept is calculated in the subsequent step by comparing the given expression with this.

The given expression is y =- 2/5. Comparing this expression with y=mx+b, we get, m=0, x=0, and b=-2/5. Therefore, the required y-intercept is -2/5.

The complete question is -

What is the y-intercept of y =- 2/5?

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Answer:

10.4 feet

Step-by-step explanation:

26/5 = 5.2

5.2(2)=10.4

The length of the tree's shadow is 10.4 feet. Option B is correct.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

We can use similar triangles to solve this problem.

The ratio of the height of the fence post to its shadow is the same as the ratio of the height of the tree to its shadow.

(height of fence post) / (length of fence post's shadow) = (height of tree) / (length of tree's shadow)

Substituting the given values, we get:

5 / 2 = 26 / x

where x is the length of the tree's shadow.

Cross-multiplying and solving for x, we get:

x = 26 × 2 / 5

= 10.4 feet

Therefore, the length of the tree's shadow is 10.4 feet.

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[tex]d=\frac{|c_2-c_1|}{\sqrt{a^2+b^2}}[/tex]  is the formula used to calculate the distance between two parallel lines. This is derived from the slope-intercept equation.  

The two lines that never cross over one another are referred to as parallel lines. When the separation between these two lines is considered constant, then these two lines are parallel.

As a result, the distance between two lines can be determined by considering their perpendicular distance. The two parallel lines can be written using the slope-intercept form as y = mx + c₁ and y = mx + c₂, respectively.

Then, the formula to calculate distance is given by, [tex]d=\frac{|c_2-c_1|}{\sqrt{a^2+b^2}}[/tex]. Here, the intercepts of the two lines are c₁ and c₂, and a and b are the constants or integers.

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Answer:

-------------------------------

Opposite leg / hypotenuse is the ratio for sine:

Correct choice is A.

Opposite leg / adjacent leg is the ratio for tangent:

Correct choice is C.

Adjacent leg / hypotenuse is the ratio for cosine:

Correct choice is B.

The ratio for tangent is opposite leg/adjacent leg,tan 53° is x/12.

We'll use the term sine and the symbol sin to denote the ratio of a right triangle's opposing side to hypotenuse. The cosine, denoted by the symbol cos, is the ratio between the neighboring side and hypotenuse of a right triangle.

The cosine, denoted by the symbol cos, is the ratio between the neighboring side and hypotenuse of a right triangle.

Explanation:

The first question is:

Correct answer is A: sin 40° = x/20.

The ratio for tangent is opposite leg/adjacent leg:

tan 53° = x/12

C is the proper selection.

The cosine ratio is the adjacent leg to hypotenuse:

cos 51° = 10/x

B is the proper selection.

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The function g is defined by the following rule. g(x) = 2x +1​ can be represented in the method given below-

How does this occur?

The function f with g is written as (fg)(x)=f(g(x)), and is understood as f of g of x. The function g will be used in place of any x in the function f, according to this statement (x)

f(x), where x is the input, is a common way to refer to a function. A function can be conceptualized as y = f in general (x).

This is how by taking various x value we can find the value of g(x) = 2x +1​

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Answer:

B and D

Step-by-step explanation:

-2+2=0

When a number greater than 1 is written in scientific notation, the exponent is positive.

Scientific notation is a way of expressing numbers that are very large or very small using a decimal number between 1 and 10, multiplied by a power of 10. For example, instead of writing the number 100,000,000 as 100,000,000, it can be written in scientific notation as 1 x 10^8.

The exponent of a number in scientific notation is the power of 10 that the decimal number is multiplied by, and it gives the number of places the decimal point is moved to the right or left to obtain the original number. In the example above, the exponent is 8, which indicates that the decimal point has been moved 8 places to the right to get the original number 100,000,000.

When the number is greater than 1, the exponent of scientific notation is positive and indicates that the decimal point is moved to the right.

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Answer:

80%

Step-by-step explanation:

since there were 5 coffees but 4 out of it were regular

mathematically

that's 4/5

but to percentage

that's times 100

4/5×100

4×100 all divided by 5

400 divided by 5

80%

On solving the provided question, we can say that here, in the equation = (2x+3y)(3y-3)=12x+3y-15. so the missing values are = 3y

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

here, in the equation

(2x+3y)(3y-3)=12x+3y-15

so the missing values are

3y

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Answer:

1. 3/2 x m^5 x n

2. 54 x m^11 x n^9

We can see here that the triangles have been attached to the corresponding angles and sides.

(a) ∠A ≅ ∠Y

    ∠B ≅ ∠Z

    ∠C ≅ ∠X

(b) Side AB ≅ Side YZ

    Side AC ≅ Side YX

    Side BC ≅ Side ZY

(c) ΔABC ≅ Δ YZX

Congruent refers to the state of two geometric figures or shapes having the same size and shape. Two figures are congruent if one can be superimposed on the other by a combination of rotation, reflection, and translation.

Congruence is often denoted by the symbol “≅”. Congruence is a fundamental concept in Euclidean geometry, and it applies to many types of geometric figures, including lines, angles, triangles, and polygons.

We can see that the various angles and sides has been shown above.

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