Does someone mind helping me with this problem? Thank you!

On soloing the provided question we can say that - Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area. A = 210-123 = 87 sq unit

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

the sum of the areas of the circle, the triangle, and the square.

Area of the Circle - Area of the Triangle - Area of the Square is the area of the darkened area.

A = 210-123 = 87 sq unit

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Answer: (D) --> 4 2/3

Step-by-step explanation:

1st --> Turn the problem into an improper fraction using the reciprocal

2nd --> Turn the improper fraction into a mixed answer

Answer:

.5

Step-by-step explanation:

2.5/5 = .5

The equation to find the amount deposited each month is 160 + 12m = 400.

The amount deposited each month is $20.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

Amount in account = $160

Amount at the end of the year = $400

Now,

There are 12 months in a year.

The amount deposited each month = m

Now,

160 + 12m = 400

Solve for m.

12m = 400 - 160

12m = 240

m = 20

Thus,

The equation is 160 + 12m = 400.

The amount deposited each month is $20.

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In Grade 6, students typically learn about angles and their properties. Some of the key concepts that students may study include:

These are some of the key concepts that students may learn about angles in Grade 6, but the specific curriculum can vary depending on the school district and state.

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Answer: h+8

Step-by-step explanation:

It’s simple h MORE than 8

Answer: h+8

Step-by-step explanation:

For right triangle LMN, the required ratio equivalent to tan(L) is 5 /13.

In this case, in order to find the ratio equivalent to tan (L).

tan(L) = opposite / adjacent side

tan(L) = NM /LN

Here given

NM = 5cm

LN = 13cm

We already know that tan(L) = perpendicular / adjacent

from given,

tan (L) = 5 / 13

As a result, the required ratio for triangle LMN is 5/13.

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The function is 130/2.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

According to question,

[tex]\int\limits^9_0 {f(x)} \, dx \\ \int\limits^7_0 {f(x)} \, dx+\int\limits^9_7 {f(x)} \, dx\\ \int\limits^7_0 {7} \, dx + \int\limits^9_7 {x} \, dx\\ (7x)^{7} _{0} + (\frac{x^{2} }{2})^{9} _{7}[/tex]

7x7 - 7x0 + 81/4 - 49/4

49 + 32/2

130/2

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The ratio of two values, x - 3 to x + 5, is the definition of the function f(x) = (x - 3)/(x + 5). The denominator (x + 5) of this function is defined for any values of x such that it is not equal to 0. The fraction would be undefined if the denominator was set to 0, which indicates that the function is not defined for that particular value of x.

 For instance, the fraction would be undefinable if x = -5 because the denominator (x + 5) would be equal to 0. As a result, when x = -5, the function is not defined. The sole limitation on the function's domain is this one.

  The domain of the function accepts all other values of x. The function is defined, for instance, for x = -4, -3, -2, and so forth.

 In conclusion, x cannot be equal to -5, which is the only restriction on the domain of the function f(x) = (x - 3)/(x + 5). The domain of the function accepts all other values of x.

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The length of the CD is 66.

Similar triangles are triangles that have the same shape but can be different sizes. Two triangles are similar if and only if the corresponding angles are congruent and the corresponding side lengths are in proportion. The symbol for similarity is '~' . Similarity can be determined by using the Angle-Angle (AA) similarity, the Side-Angle-Side (SAS) similarity, or the Side-Side-Side (SSS) similarity. If two triangles are similar, the ratio of the corresponding side lengths is called the scale factor. If this scale factor is k, then the ratio of any pair of corresponding sides is k.

In ΔBCD and ΔEFD,

side BC ≈ side EF            ....(given E is on CD)

∠ BCD ≅ ∠EFD                .....(given)

side CD ≈ side FD           ......( given F is on BD)

∴ΔBCD ≈ ΔEFD               ....(By Side Angle Side criteria)

[tex]\frac{BC}{EF} = \frac{CD}{FD}[/tex]

∴ [tex]\frac{77}{35} = \frac{CD}{30}[/tex]

∴ CD = 77 × 30/ 35

∴ CD = 66

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The value of i for given inequality is i < 5.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:

The symbol a b indicates that an is smaller than b.

When a > b is used, it indicates that an is bigger than b.

A is not equivalent to b in any scenario. Since an is strictly less than or strictly greater than b, these relationships are known as stringent inequalities. Equivalence is not considered.

Given,

-4i + 28 > 8

Dividing the equation by 4

-i + 7 > 2

Subtracting 7 from both sides,

- i > -5

i < 5

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The area of shaded figure is  272 square units  

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

Area of trapezium = (1/2)(a+b)*h

a=18 , b= 34, h - 16

So,  area of trapezium = (1/2)(18+34)*16 =  52*8 =  416 square units

Area of unshaded triangle = (1/2) * base*height

                                            = (1/2) * 18*16 = 18*8 = 144 square units

Area of shaded figure = area of  trapezium - Area of unshaded triangle

                                     = 416 - 144

                                     = 272 square units  

So, the Area of shaded figure =  272 square units  

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Answer:

Area of a Trapezoid = [tex]136cm^{2}[/tex]

Step-by-step explanation:

Area of a Trapezoid = [tex]\frac{1}{2} X(a+b)h[/tex]

Area of a Trapezoid = [tex]\frac{1}{2} X(12+22)8[/tex]

Area of a Trapezoid = [tex]\frac{1}{2} X34X8[/tex]

Area of a Trapezoid = [tex]136cm^{2}[/tex]

Answer:

Answer Below

Step-by-step explanation:

The key difference between line and line segment is, a line is extended in both directions infinitely but a line segment has two endpoints.

Answer:

After a reflection in the y-axis, the quadratic function would have the following formula:

y = -(2x² - 8x + 3)

= -2x² + 8x - 3

Therefore, the answer is option D: y=2x² +8x-3.

Step-by-step explanation:

The number of toothpicks Arun could have used to make his bigger square than Jitesh's 8-toothpick square was B. 16.

We are told that Jitesh made a square using 8 toothpicks.

The toothpicks have the same length as Arun's.  We also know that Arun made a bigger square than Jitesh.

The same number of toothpicks must be on the four sides to make a square.  Otherwise, it cannot form a perfect square.

Thus, it is unlikely that 14 toothpicks can make a square because 14 is not evenly divisible by 4, just like 22.  However, 16 is evenly divisible by 4 and forms a perfect square of 4, giving each side an equal size.

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Answer:

c

Step-by-step explanation:

The slope - intercept equation of a line that would pass through (1,-2) and has an undefined slope, is y = -2 x

The slope - intercept equation takes the form:

y = mx + b

m = slope

b = y - intercept

When the slope is undefined, it means that there is no y - intercept as the slope is a vertical line which crosses the x - axis alone. The slope would therefore be :

y = mx

- 2 = 1 x

m = - 2

The slope - intercept form is:

y = -2 x

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To determine whether two functions are inverses of each other, we can use function composition to check if the composition of the two functions is the identity function. The identity function is a function that always returns its input.

What does the term "inverse function" mean?

A function that reverses the effects of another function is called an inverse function. When y=f(x) and x=g, a function g is the inverse of a function f. (y). Applying f and then g is equivalent to doing nothing, in other words. This can be expressed as g(f(x))=x in terms of the relationship between f and g.

The composition of two functions f and g is denoted by f(g(x)) or f o g.

If f(g(x)) = x and g(f(x)) = x for all x in the domain of the functions, then f and g are inverse functions.

In this case,

f(g(x)) = f((x-2)/5) = 5((x-2)/5) + 2 = x

so, f and g are inverse functions.

and also

g(f(x)) = g(5x+2) = (5x+2-2)/5 = x

so, f and g are inverse functions.

Therefore the functions f(x)= 5x+2 and g(x) = x-2/5 are inverses of each other.

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The length of diagonal KM of square is 11.31 inch.

What is square?

A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can also be explained as a rectangle with two adjacent sides that are of equal length.

A square has four equal sides, four vertices, and is a closed, two-dimensional shape. It has parallel sides on either side. A square is also equivalent to a rectangle with equal length and width.

Given:

The Square JKLM, the area of JKLM is 64 sq in.

We have to find the length of diagonal KM.

Since,

Area of square = (side)^2

64 = (side)^2

Side = 8

Length of each side of square is 8 in.

By using the Pythagorean theorem,

(KL)^2 + (LM)^2 = (KM)^2

       8^2 + 8^2 = (KM)^2

          64 + 64 = (KM)^2

                 128 = (KM)^2

                 KM = 11.31

Hence, the length of diagonal KM of square is 11.31 inch.

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y = (4/5)x - 1 is the equation of the line in slope-intercept form

The equation of a line in slope-intercept form is y = mx + c.

Where m is the slope and c is the y-intercept (0, y)

slope = (y2-y1)/(x2-x1)

where (x1, y1) and (x2, y2) are the coordinates of two points that lie on the line

From the graph:

c = -1

x1 = 0, y1 = -1 and x2 = 5, y2 = 3

slope (m) = (3-(-1)) / (5-0) = 4/5

substitute m = 4/5 and c = -1 into y = mx + c:

y = (4/5)x - 1

Thus, the equation of the line in slope-intercept form is y = (4/5)x - 1

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Answer:

62.18

Step-by-step explanation:

The new value =

63 - The value of the percentage decrease =

63 - (1.3% × 63) =

63 - 1.3% × 63 =

(1 - 1.3%) × 63 =

(100% - 1.3%) × 63 =

98.7% × 63 =

98.7 ÷ 100 × 63 =

98.7 × 63 ÷ 100 =

6,218.1 ÷ 100 =

62.181 ≈

62.18

1/5/2023

7:00PM

The area of a page of the book, "flowers of the four seasons". would be = 5.6× 10^-⁷ m²

To calculate the area of a book, the length and weight of the book must be determined which is then multiplied to give it's area in square metres or mm².

The number of pages that makes up the book, "flowers of the four seasons". = 22 pages.

Since the book has a square shape, the length and width is the same = 0.75 mm

To convert 0.75 mm to meter, divide by 1000= 0.00075m

The area of a page = Length× width = 0.00075×0.00075

= 0.0000005625= 5.6× 10^-⁷ m²

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The Seed, where the range is 100, is the initial value of an algorithm used to produce a set of numbers.

Difference between the greatest and lowest value is referred to as the range. To get the range, find the variable's greatest observed value and deduct its lowest observed value. The data points in the center of the distribution are not taken into account; the range only considers these two values. Between the lowest and greatest values, there is a range of values. Values at each end of the range make up the range. Use the data set 4, 6, 10, 15, 18 as an example. Its range is 18-4 = 14, and its minimum and maximum values are 4, 4, and 4.

The term "seed" refers to the initial value of an algorithm used to produce a set of integers.

[tex]20, 25, 30, 45, 55, 90, 110,115,120[/tex]

Range = 120 - 20 = 100

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The measure of m∠6 is 123° and is equal to m∠1 because there are corresponding angles formed by parallel lines cut by a transversal.

Corresponding angles are the angles that are formed when two parallel lines are cut or intersected by the transversal and they are equal.

The angles 1, 2, 3, 4, 5, 6, 7, and 8 all lie on a transversal line that cuts the parallel lines, hence m∠1 and m∠6 are corresponding angles are they are equal.

so;

m∠1 = (15x + 3)° = m∠6 = (10x + 43)°

collect like terms, we have;

15x - 10x = 43° - 3°

5x = 40°

divide through by 5

x = 40°/5

x = 8

m∠6 = [10(8) + 43]°

m∠6 = (80 + 43)°

m∠6 = 123°

Therefore, the corresponding angle m∠6 have the measure of 123°.

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After 4 red chairs and 2 blue chairs are taken out from the class, there are 72 - 4 - 2 = 66 chairs remaining. Of these 66 chairs, 72 * 2/3 - 2 = 46 chairs are blue. Therefore, the probability of selecting a red chair at random is (66 - 46) / 66 = 20/66 = 5/16.

Answer:

u = 2

Step-by-step explanation:

The slope of a line between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is equal to [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], so, given our slope of 8, we need to find the first y-coordinate:

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\8=\frac{10-u}{3-2}\\\\8=\frac{10-u}{1}\\\\8=10-u\\\\-2=-u\\\\2=u[/tex]

Hence, the value of "u" is 2.

Answer:

To find the value of u, you can use the slope formula:

slope = (y2 - y1) / (x2 - x1)

In this case, (x1, y1) = (2, u) and (x2, y2) = (3, 10). Plugging these values into the formula gives:

slope = (10 - u) / (3 - 2)

Simplifying this expression gives:

slope = (10 - u) / 1

Since the slope is 8, we can set this expression equal to 8 and solve for u:

8 = (10 - u) / 1

8 = 10 - u

u = 10 - 8

u = 2

Therefore, the value of u is 2.

Certainly! The slope of a line is a measure of how steep the line is. It is calculated by finding the ratio of the difference in the y-coordinates of two points on the line to the difference in the x-coordinates of those same two points. For example, in the line you gave, the two points are (2, u) and (3, 10). The difference in the x-coordinates of these two points is 3 - 2 = 1, and the difference in the y-coordinates is 10 - u. The slope of the line is then (10 - u) / 1. We know that the slope of this line is 8, so we can set the expression for the slope equal to 8 and solve for u. This gives us the value of u, which is 2. I hope this helps! Let me know if you have any questions.

The midpoint M of the line segment PQ is 14 units

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

A line segment PQ

The midpoint M

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

P = 5

Q = 23

The midpoint M can be calculated using any of the following formulas

M = (Q - P)/2 + P or M = (P + Q)/2

Substitute the known values in the above equation, so, we have the following representation

M = (23 - 5)/2 + 5 or M = (23 + 5)/2

Evaluate the equations

M = 14

Hence, the value of M is 14 units

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Fraction 10/16 is not equivalent to 3/4 among the other given fractions.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given some fractions.9/12, 6/8, 18/24, 10/16, and 15/20.

Simplifying this given fraction by taking the common term out

[tex]\frac{9}{12}, \frac{6}{8} , \frac{18}{24} , \frac{10}{16} , \frac{15}{20}[/tex]

[tex]\frac{9/3}{1/3}, \frac{6/2}{8/2} , \frac{18/6}{24/6} , \frac{10/2}{16/2} , \frac{15/5}{20/5}[/tex]

Thus we will get

3/4, 3/4, 3/4, 5/8, 3/4

Therefore, Among the other fractions listed, fraction 10/16 is not equal to fraction 3/4.

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