1.1 PQR is a tangent to circle QABCD. AB is parallel to QD and CD = CB. Ĉ= 110°; D3= 70° and ₂= 100°. P Cloo Determine with reasons the sizes of the following: 1.1.1 B₁ (3) 1.1.2 ABC (4) 1.1.3 D₂ (2) 1.1.4 A₂​

The height of the trapezoid is h = 4, and the answer is B.

A trapezoid, also known as a trapezium, is a four-sided polygon with two parallel sides, also called the bases. The non-parallel sides are called legs, and they can have different lengths. The parallel sides are perpendicular to the legs.

There are two types of trapezoids:

Isosceles trapezoid: This type of trapezoid has two parallel sides of equal length and two legs of equal length.

Scalene trapezoid: This type of trapezoid has two parallel sides of different lengths and two legs of different lengths.

We can use the formula A = 1/2 * h * (b1 + b2) to solve for h. Substituting the given values, we get:

28 = 1/2 * h * (6 + 8)

28 = 1/2 * h * 14

28 = 7h

h = 4

Therefore, the height of the trapezoid is h = 4, and the answer is B.

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Answer:

7m + 20 ≥ 150

Closest option is 7m + 20 > 150 which is the second choice

Step-by-step explanation:

The words "at least" indicate a ≥ inequality.

There is a fixed earning of $20 for entering the race. So this amount will be earned on regardless of how much Carol runs

For each mile she runs she earns $7. For running m miles, she earns 7m dollars

Total amount earned for running m miles = 7m + 20
This must be at least $150
So the correct inequality is
7m + 20 ≥ 150

I don't see this exact inequality in any of the answer choices but that is the correct answer.

Answer:

Malleability and ductility refer to a material's ability to be shaped, bent, or stretched without breaking. Malleability is a measure of how easily a material can be hammered, pressed, or rolled into different shapes, while ductility is a measure of how much a material can be stretched before it breaks. Metals and alloys are generally highly malleable and ductile, while concrete and glass are less so

Step-by-step explanation:

Answer:

Step-by-step explanation how do I use this appp :

all of them are equivalent

Answer:

19,306 = 10 + 90 + 30 + 60

Step-by-step explanation:

The two fractions' sum is therefore (a + b) / (a² × b²).

A sum, usually referred to as a summation, is the product of combining two or more quantities or numbers. A summation always has an even term count. It could be two terms simply, or it might total 100,000 or a million. Many terms can be included in some summations.

We require a common denominator in order to add these two fractions.

The first fraction's denominator is a² × b, and the second fraction's denominator is a × b².

Get the supreme strength of each component that exists in either denominator, then utilize the result of these factors to determine the least frequent multi of these two denominators:

LCM (a² × b, a × b²) = a² × b²

The two fractions can now be rewritten using the following common denominator:

1/(a² × b) + 1/(a × b²) = (1 × b + 1 × a) / (a² × b²)

If we condense this phrase, we get:

1/(a² × b) + 1/(a × b²) = (a + b) / (a² × b²)

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The solution to the inequalities, y < 6 and y > x + 3 is the common intersecting region.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

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

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

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, y < 6.

Now, To determine wether it inclues the origin or not we'll set, y = 0.

So, 0 < 6 is true so y < 6 includes the origin.

Now, y > x + 3.

0 > 0 + 4 is not true therefore, y > x + 3 doest not inclue the origin.

The solution to these now can be determine by the common intersecting region.

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The expression for the quadratic function can be written as:

g(x + a) - g(x) = 4ax + 2a² - 4a

Here we want to find the expression:

g(x + a) - g(x)

For the quadratic function:

g(x) = 2x² - 4x

So just let's evaluate the function in these values, we will get:

g(x + a) =2*(x + a)² - 4*(x + a)

Expanding that we will get:

            = 2(x² + 2ax + a²) - 4x - 4a

            = 2x² + 4ax + 2a² - 4x - 4a

Subtracting the original equation we will get:

g(x + a) - g(x) = 2x² + 4ax + 2a² - 4x - 4a - 2x² - 4x

                     = 4ax + 2a² - 4a

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The answers to each part context to similar triangles is given above.

A proportional relationship between two variables {x} and {y} means that if {x} increases, then {y} increases with it proportionally.

Given are two similar triangles as shown in the image.

{ 1 } -

We can write the scale factor as -

{k} = ZX/AC

{k} = 39/13

{k} = 3

{ 2 } -

m∠X = m∠A = 67°

m∠X = 67°

{ 3 } -

ZW/CD = k

CD = ZW/k

CD = 36/3

CD = 12 units

{ 4 } -

Area of triangle ABC = 1/2 x 5 x 12 = 30 square units.

A{ΔABC} = 30 square units

{5} -

Ratio of area of triangle ABC to triangle XYZ = (30)/(15 x 36) = 1/18

A{ΔABC}/A{ΔXYZ} = 1/18

Therefore, the answers to each part context to similar triangles is given above.

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If to display charts and other educational material, your teacher has requested that two rows of strips be placed around the entire room. the total length of strips is: 4L + 4W.

To find the total length of strips required, we need to know the dimensions of the room. Let's assume that the room has a length of L and a width of W.

If we place two rows of strips around the entire room, one at the top and one at the bottom, the length of each strip will be equal to the perimeter of the room.

The perimeter of the room can be calculated as:

P = 2L + 2W

So, the length of strips required for one row around the room will be:

L1 = P = 2L + 2W

Since we need two rows of strips, the total length of strips required will be:

L2 = 2L1 = 2(2L + 2W) = 4L + 4W

Therefore, the total length is 4 times the length of the room plus 4 times the width of the room.

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The number of apples after the increase will be 18.

Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign that is used to represent percentage is %.  In order to change a number to a percentage, multiply by 100.

After the apples are increased, the new number of apples would be half more than the initial number of apples.

The formula that can be used to determine the new number of apples is: New number of apples = original number of apples x (1 + increase/100)

= 12 x (1 + 50/100)

= 12 x (1 + 0.5)

= 12 x 1.5 = 18

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Therefore, Lisa will need 52 square inches of purple paint to paint all sides of her letter L.

Surface area is the measure of the total area that the surface of a three-dimensional object occupies. It is the sum of the areas of all the faces, including the base(s) and any lateral faces, that make up the object. Surface area is usually expressed in square units, such as square centimeters, square meters, square inches, or square feet, depending on the unit of measurement used. The surface area of an object is an important factor in many physical and mathematical calculations, such as calculating the amount of material needed to cover an object, the rate of heat transfer, and the amount of friction between surfaces.

by the question.

To find the total surface area that Lisa will need to paint purple, we need to first calculate the surface area of each piece of wood and then add them together.

The longer piece of wood has a surface area of:

2 x 7 = 14 square inches on one side

2 x 2 = 4 square inches on the other side

2 x 5 = 10 square inches on the third side

So, the total surface area of the longer piece is 14 + 4 + 10 = 28 square inches.

The shorter piece of wood has a surface area of:

5 x 2 = 10 square inches on one side

2 x 2 = 4 square inches on the second side

5 x 2 = 10 square inches on the third side

So, the total surface area of the shorter piece is 10 + 4 + 10 = 24 square inches.

To get the total surface area of the letter L, we add the surface areas of the two pieces of wood together:

28 + 24 = 52 square inches.

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In response to the supplied query, we may state that there is a proportionality  statistically significant difference between the two population proportions because the interval comprises 0.

Relationships are regarded to as proportional when they continuously have the same ratio. For instance, the number of trees in an orchard and the number of apples in a harvest of apples depend on the average number of apples produced by each tree. A linear relationship between two numbers or variables is referred to as being proportional in mathematics.

The following is the point estimate for the variance between the two sample proportions:

ME is equal to z/2 * [p1(1 - p1) / n1 + p2(1 - p2) / n2]

where:

The z-score that corresponds to the required degree of confidence, in this case 90%, is z/2, or 1.645.

The proportions of the sample are p1 and p2.

These are the sample sizes, n1 and n2.

When we enter the values, we obtain:

ME = 1.645 * √[(0.9512)(1 - 0.9512) / 820 + (0.9891)(1 - 0.9891) / 804]

ME = 0.0528

-0.0379 ± 0.0528

or

-0.0907 to 0.0149

As a result, we have 90% confidence that the actual change in population proportions is between -0.0907 and 0.0149. We cannot infer that there is a statistically significant difference between the two population proportions because the interval comprises 0.

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The formula used to find any term of the geometric sequence is found as: an = 2(2)ⁿ⁻¹.

The geometric sequence equations has the general form an=a1rⁿ⁻¹, where r denotes the common ratio, a1 denotes the first term, and n denotes the term's position in the sequence.

sequence: 2, 4, 8, 16, 32, …

a1 = 2

r = 4/2 = 2

So,

an = 2(2)ⁿ⁻¹

Thus, the formula used to find any term of the geometric sequence is found as: an = 2(2)ⁿ⁻¹.

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As a result, for purchases of $9500, the salesperson gets a royalty of $285.

Commission, also known as a sales bonus, is paid to employees in accordance with the amount of sales they make. Statement generation is offered without charge by SumUp Bills. Frequently, a fee is calculated as a percentage of the sale's value.

To find the commission that the salesperson receives for $9500 in sales, we can use the formula:

commission = rate x sales

where rate is the commission rate as a decimal, and sales is the amount of sales.

In this case, the rate is 3% or 0.03, and the sales is $9500.When these numbers are added to the algorithm, we obtain:

commission = 0.03 x $9500

Simplifying this expression, we get:

commission = $285

Therefore, the salesperson receives a commission of $285 for $9500 in sales.

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The amount of ice cream in a properly filled cone is approximately 167.46 cubic cm.

The volumes of a cone and a cylinder with the same base and height are proportionate to one another. A cone's volume is specifically one-third that of a cylinder with the same base and height.

The volume of a cone, which is given by:

V = (1/3)πr²h

Substituting the values of radius and height we have:

V = 1/3π(4)²(10)

V = 167.46 cubic cm.

Hence, the amount of ice cream in a properly filled cone is approximately 167.46 cubic cm.

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Answer:

11%

Step-by-step explanation:

110 divided by 10 is 11% or 11 times 10 is 110

Answer:

10% of 110 is 11

Step-by-step explanation:

Finding the fraction of a number is the same as multiplying a fraction with the number

10/100 of 110 = 10/100 x 110

so the answer is 11

The sections of each course it should offer are 3 finite maths, 2 applied calculus and 2 computer methods

Let's use the following variables to represent the unknowns:

From the problem, we can write the following system of equations:

x + y + z = 7 (total number of sections)

40x + 40y + 10z = 220 (total number of students)

40000x + 60000y + 29000z = 298000 (total revenue)

Simplify

x + y + z = 7

4x + 4y + z = 220

40x + 60y + 29z = 298

We can solve this system of equations using substitution

So, we have

x = 7 - y - z

By substitution, we have

4(7 - y - z) + 4y + z = 22

This gives

28 - 4y - 4z + 4y + z = 22

So, we have

28 - 3z = 22

This gives

3z = 6

Divide

z = 2

Recall that

40x + 60y + 29z = 298

So, we have

40x + 60y + 29*2 = 298

40x + 60y + 58 = 298

This gives

40x + 60y = 240

Divide by 20

2x + 3y = 12

Also, recall that x = 7 - y - z

So, we have

2(7 - y - z) + 3y = 12

This gives

2(7 - y - 2) + 3y = 12

2(5 - y) + 3y = 12

Open brackets

10 - 2y + 3y = 12

Evaluating the like terms, we have

y = 2

Lastly. we have

x = 7 - y - z

x = 7 - 2 - 2

x = 3

Hence, the number of sections of Finite Math is 3

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Therefore , the solution of the given problem of function comes out to be  height is 64 feet .

What is meant by the word function?

The study of mathematics includes histology, architecture, and both actual and fictitious geographic locations, as well as arithmetic, numerals, and their divisions. A function explains the relationships between different components, each of which has a corresponding result. A function is made up of a variety of components that, when put together, produce specific outputs for each input.

Here,

The highest spot on the ball's trajectory, which is at the vertex of the parabolic path, must be identified in order to calculate the maximum height the ball has ever attained.

The following equation describes the height of the projectile as a function of time:

s = -16t² + 64t

We can apply the following method to determine the parabola's vertex:

t = -b/2a

where b = 64 and a = -16.

By replacing these numbers, we obtain:

t = -64/(2*(-16)) = 2

Thus, after two seconds, the utmost height is reached.

We can enter t = 2 into the calculation to get the height at this point:

s = -16(2)² + 64(2) = 64 feet

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Answer:

33.02 centimeters of cloth

Step-by-step explanation:

Since 1 inch is equal to 2.54 cemtimeters then all you need to do is multiply 13x2.54 and you have your answer of 33.02

The surface area of the shape is 110 square units.

The area of a two-dimensional figure is the area enclosed by its perimeter. The area of a closed figure is the number of unit squares that cover its surface. Area is measured in square units such as cm2 and m2. The area of a shape is measured in two dimensions.

The rectangle's surface area is:

Area = 10 × 9 = 90 unit square

The area of the triangle is:

Area = 0.5 × 10 × 4 = 20 unit square

The figure's area is as follows:

Total = 90 + 20

Total = 110 unit square

Hence, the shape's area is 110 unit square.

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Answer: PP(Percentage) + PP or PP(1.%)

Step-by-step explanation:

Based on the 2009 season, the Texas Rangers have a winning percentage of .533. The probability that the Rangers win 4 of their next 5 games is 18.8%.

We can use the binomial distribution formula to find the probability that the Texas Rangers win exactly 4 of their next 5 games:

P(4 wins) = (5 choose 4) * (.533)^4 * (1-.533)^1

= (5! / (4! * 1!)) * (.533)^4 * (.467)^1

= 5 * 0.533^4 * 0.467^1

= 18.8%

where "choose" is the binomial coefficient, which represents the number of ways to choose a subset of size k from a set of size n, and is given by:

(n choose k) = n! / (k! * (n-k)!)

So the probability that the Rangers win 4 of their next 5 games is 18.8%,.

Therefore, the answer is B.

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Step-by-step explanation:

V = P(1 - r)^t

where V is the value of the car after t years, P is the initial value of the car, r is the annual depreciation rate as a decimal, and t is the number of years.

Plugging in the values given in the problem, we get:

V = 42000(1 - 0.15)^7

V = 42000(0.85)^7

V = 42000(0.327)

V = $13734.00

Therefore, the car will be worth $13,734.00 after 7 years. Rounded to the nearest dollar, the value is $13,734.

Answer:

A) $12,800.00. B) $13,629.44. The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years? C) ...

We can write the addition matrix as -

(I + 2A) →

[- 1  4]

[8  11]  

The identity matrix is the only idempotent matrix with non-zero determinant.

Given is the matrix relation as -

(I + 2A)

We can write the addition of matrix as -

(I + 2A) →

[1  0]

[0  1]  

+

2[-1  2]

2[4  5]

(I + 2A) →

[1  0]

[0  1]  

+

[-2  4]

[8  10]

(I + 2A) →

[- 1  4]

[8  11]  

Therefore, we can write the addition matrix as -

(I + 2A) →

[- 1  4]

[8  11]  

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Answer: C

Step-by-step explanation:

The exact values are;

Sin 2x = 7/8

Cos 2x = 7/4

Tan 2x = 1

Trigonometric ratios are mathematical functions that relate the angles and sides of a right-angled triangle. The three primary trigonometric ratios are:

Sine (sin) - the ratio of the length of the opposite side to the length of the hypotenuse.

Cosine (cos) - the ratio of the length of the adjacent side to the length of the hypotenuse.

Tangent (tan) - the ratio of the length of the opposite side to the length of the adjacent side.

Given that sinx = 7/16

opposite = 7

Hypotenuse = 16

Adjacent is now;

b^2 = 16^2 - 7^2

b = 14

Thus;

Sin 2x = 14/16 = 7/8

Cos 2x = 2(14/16) = 28/16 = 7/4

Tan 2x = 2(7/14) = 14/14 = 1

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The remaining feet long is A. 3 7/12 feet long

How to determine this

Kelsey has a board of 6 1/3 feet long

When he uses 2.75 feet

To calculate the remaining feet

= 6 1/3 - 2.75 feet long

By converting 2.75 to fraction

2.75 = 2 3/4

= 11/4

6 1/3 = 19/3

So, 19/3 - 11/4

= 43/12

= 3 7/12

Therefore, the remaining piece is 3 7/12 feet long

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Answer:

Your blank answer is 4.68

Step-by-step explanation:

Well lets make the missing blank into a variable.

12 - x = 7.32

This way we can solve for x. Simplify.

Add x to both side.

12 = 7.32 + x

Subtract 7.32 to both side leaving you x.

12 - 7.32 = x

x = 4.68

Answer:

12 - 4.68 = 7.32

Step-by-step explanation:

Now we have to,

→ Find the missing number in the equation.

Let us assume that,

→ Missing number = m

Forming the equation,

→ 12 - m = 7.32

Then the value of m will be,

→ 12 - m = 7.32

→ -m = 7.32 - 12

→ -m = -4.68

→ [ m = 4.68 ]

Hence, the answer is 4.68.