draw seg PQ of the length 9.4 and bisect it​

Answer:

Hi how are you doing today Jasmine

Answer:\(8.75\ m^2\)

Step-by-step explanation:

Given

Area of circle is \(A=45\ m^2\)

Arc measure \(\theta =70^{\circ}\)

and area of sector is given by

\(\Rightarrow \frac{\theta }{360^{\circ}}\times \text{Area of circle}\)

\(\Rightarrow \frac{70}{360}\times 45\)

\(\Rightarrow 0.194\times 45\)

\(\Rightarrow 8.75\ m^2\)

So, area of sector is \(8.75\ m^2\)

Answer:

The area of triangle APB is 240 m².

Step-by-step explanation:

We are told that PA and PB are equal in length. Therefore, triangle APB is an isosceles triangle with base AB.

As PQ is perpendicular to the base (signified by the right angle symbol), point Q is the midpoint of AB. This means that:

As triangle PQB is a right triangle, use Pythagoras Theorem to find the length of QB:

\(\implies PQ^2+QB^2=PB^2\)

\(\implies 24^2+QB^2=26^2\)

\(\implies 576+QB^2=676\)

\(\implies 576+QB^2-576=676-576\)

\(\implies QB^2=100\)

\(\implies \sqrt{QB^2}=\sqrt{100}\)

\(\implies QB=10\)

As AQ = QB, and QB is 10 m, then AQ is also 10 m.

Therefore, we can calculate the length of the base AB:

\(\begin{aligned}\implies AB &= AQ + QB\\&=10 + 10 \\&= 20\; \sf m\end{aligned}\)

Now we have the length of the base of the triangle and the height of the triangle, we can calculate the area of triangle APB:

\(\begin{aligned}\textsf{Area of triangle $APB$}&=\dfrac{1}{2} \cdot \sf base \cdot height\\\\&=\dfrac{1}{2} \cdot AB \cdot PQ\\\\&=\dfrac{1}{2} \cdot 20 \cdot 24\\\\&=10 \cdot 24\\\\&=240\; \sf m^2\end{aligned}\)

Therefore, the area of triangle APB is 240 m².

Answer:

-2x² - 10xy + 2y²

Step-by-step explanation:

4x² - 9xy - 4y² - 6x² - xy + 6y² =

= 4x² - 6x² - 9xy - xy - 4y² + 6y²

= -2x² - 10xy + 2y²

Answer:

1/2²m²

Step-by-step explanation:

Answer:

\(A = \left[\begin{array}{ccc}-3&3&2\\-25&-13&0\end{array}\right]\)

Step-by-step explanation:

Given the matrix

\(A = \left[\begin{array}{ccc}-3&3&2\\8&-1&3\end{array}\right] \\R1 = -3, 5, 2\\R2 = 8, -1, 3\\\\\)

Before we can get the resulting matrix after the elementary operation, we need to get the new second row using the formula −2R2+3R1?

when R1= -3, R2 = 8

−2R2+3R1? = −2(8)+3(-3)

−2(8)+3(-3) = -16-9

−2(8)+3(-3) = -25

R1= 5, R2 = -1

−2R2+3R1? = −2(-1)+3(5)

−2(-1)+3(5) = 2-15

−2(-1)+3(5) = -13

when R1= 2, R2 = 3

−2R2+3R1? = −2(3)+3(2)

−2(3)+3(2) = -6-6

−2(3)+3(2) = 0

Hence the new R2 are -25, -13, 0

The resulting matrix will be:

\(A = \left[\begin{array}{ccc}-3&3&2\\-25&-13&0\end{array}\right]\)

Answer:

-25 17 0

 8  -1   3

Step-by-step explanation:

Answer:

Step-by-step explanation:

how many did he sell in the first place

Answer:

15, 14, 13, 12, 11 and so on

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

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\( \frac{12}{16} = \frac{x}{13} \)

\(16x = 12 \times 13\)

\(x = \frac{12 \times 13}{16} \)

\(x = \frac{156}{16} = 9.75\)

The cost of a Token from the question is; $7.2

We are told that Jane and Jim spend the same amount of money today.

Now, Jim spent 5.25 dollars on food and rode the train 3 times, and Jane spent 12.45 dollars on food and rode the roller coaster twice.

Assuming cost of a token is T, the the algebraic expression formed is;

5.25 + 3T = 12.45 + 2T.

3T - 2T = 12.45 - 5.25

T = $7.2

Thus, we conclude that the cost of a Token is; $7.2

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Answer:

The correct answer is C. Alternate Interior Angles Theorem.

Step-by-step explanation:

The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent. In the proof, we are given that l∥m and t is a transversal that cuts l and m. We are also given that ∠1≅∠3. By the Alternate Interior Angles Theorem, we can conclude that ∠2≅∠4.

The other three options are not valid reasons for the third line of the proof. The Consecutive Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the consecutive interior angles are supplementary. The Consecutive Interior Angles Converse states that if two lines are cut by a transversal and the consecutive interior angles are supplementary, then the lines are parallel. The Alternate Interior Angles Converse states that if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.

The valid reason for the third line of the proof is the Alternate Interior Angles Theorem.

According to the Alternate Interior Angles Theorem, if a transversal overlaps two parallel lines, the alternate interior angles are congruent. Line an is parallel to line b in the given proof, while line c is parallel to line d. Line 13 is the transversal. Angles 213 and 132 are congruent because they are alternate internal angles. As a result, 213 = 132.

The other possibilities are not valid justifications for the proof's third line. According to the successive Interior Angles Theorem, if a transversal overlaps two lines, the successive interior angles are additional. Angles 213 and 132, on the other hand, are not successive internal angles.

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The population of US is 330 million approx.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." The number "%" is used to symbolize it.

Given

population of new york = 2.727272% population of US

population of new york = 9 million

population of US = 1/2.727272% of new york

population of US =  36.6666 x 90,00,000

population of US = 33,00,00,087.9 = 330 million approx

Hence population of US is approx 330 million.

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The equation of the shifted circle is (x-3)² + (y-3)² = 36.

Shifting a circle with equation (x-3)² + (y-5)² = 36 down 2 units means that we need to subtract 2 from the y-coordinate of the center of the circle. Since the center of the circle is (3, 5), the new center will be (3, 3) after the shift.

To find the equation of the shifted circle, we can simply replace the y-coordinate of the center with the shifted value in the original equation:

(x-3)² + (y-3)² = 36

This is the equation of a circle with center (3, 3) and radius 6, which is the result of shifting the original circle down 2 units.

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The layout of the fast-food restaurant of dimensions 6 by 8 5 feet squares is presented in the attached table created with Sheets.

The dimensions of the facility are;

Horizontal = 6 squares

Vertical = 8 squares

The side length of each square = 5 feet

Therefore;

Area of each square = 5² ft.² = 25 ft.²

Number of squares, n, required by each dependent are therefore;

CB department, n = 300 ÷ 25 = 12 squares

CF department, n = 200 ÷ 25 = 8 squares

PS department, n = 8 squares

DD department, n = 8 squares

CS department, n = 12 squares

A layout for the fast-food restaurant is therefore;

Please see the attached table layout created using Sheets.

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Answer:

The probability when rolling a regular six-sided dice that the score is an odd number is three-sixths or three out of six. Both three and six are divisible by three. Therefore, this fraction could be simplified to one-half. Three divided by three is equal to one.

Below are some general reasons why a questionnaire might not be suitable:

Poorly constructed questions: If the questions in the questionnaire are not clear, ambiguous, leading, or biased, then the responses obtained may not be accurate or reliable. Poorly constructed questions may also lead to confusion, misunderstandings, and errors.

Lastly Inadequate sampling: If the sampling technique used to select respondents is not representative of the target population, then the results obtained may not be generalizable or applicable to the larger population. The sample size and composition may also affect the validity and reliability of the results.

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Answer:

The answer is 16pi or 50.3cm² to 1 d.p

Step-by-step explanation:

The non shaded=area of shaded

d=8

r=d/2=4

A=pir³

A=p1×4²

A=pi×16

A=16picm² or 50.3cm² to 1d.p

Answer:

3.45 cm (3 s.f.)

Step-by-step explanation:

We have been given a 5-sided regular polygon inside a circumcircle. A circumcircle is a circle that passes through all the vertices of a given polygon. Therefore, the radius of the circumcircle is also the radius of the polygon.

To find the radius of a regular polygon given its side length, we can use this formula:

\(\boxed{\begin{minipage}{6 cm}\underline{Radius of a regular polygon}\\\\$r=\dfrac{s}{2\sin\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

Substitute the given side length, s = 8 cm, and the number of sides of the polygon, n = 5, into the radius formula to find an expression for the radius of the polygon (and circumcircle):

\(\begin{aligned}\implies r&=\dfrac{8}{2\sin\left(\dfrac{180^{\circ}}{5}\right)}\\\\ &=\dfrac{4}{\sin\left(36^{\circ}\right)}\\\\ \end{aligned}\)

The formulas for the area of a regular polygon and the area of a circle given their radii are:

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{nr^2\sin\left(\dfrac{360^{\circ}}{n}\right)}{2}$\\\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\ \phantom{ww}$\bullet$ $n$ is the number of sides.\\\end{minipage}}\)

\(\boxed{\begin{minipage}{6 cm}\underline{Area of a circle}\\\\$A=\pi r^2$\\\\where:\\\phantom{ww}$\bullet$ $A$ is the area.\\\phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}\)

Therefore, the area of the regular pentagon is:

\(\begin{aligned}\textsf{Area of polygon}&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(\dfrac{360^{\circ}}{5}\right)}{2}\\\\&=\dfrac{5 \cdot \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\sin\left(72^{\circ}\right)}{2}\\\\&=\dfrac{\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}}{2}\\\\&=\dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}\\\\&=110.110553...\; \sf cm^2\end{aligned}\)

The area of the circumcircle is:

\(\begin{aligned}\textsf{Area of circumcircle}&=\pi \left(\dfrac{4}{\sin\left(36^{\circ}\right)}\right)^2\\\\&=\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\&=145.489779...\; \sf cm^2\end{aligned}\)

The area of the shaded area is the area of the circumcircle less the area of the regular pentagon plus the area of the small central circle.

The area of the unshaded area is the area of the regular pentagon less the area of the small central circle.

Given the shaded area is equal to the unshaded area:

\(\begin{aligned}\textsf{Shaded area}&=\textsf{Unshaded area}\\\\\sf Area_{circumcircle}-Area_{polygon}+Area_{circle}&=\sf Area_{polygon}-Area_{circle}\\\\\sf 2\cdot Area_{circle}&=\sf 2\cdot Area_{polygon}-Area_{circumcircle}\\\\2\pi r^2&=2 \cdot \dfrac{40\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)}{\sin^2\left(36^{\circ}\right)}-\dfrac{16\pi}{\sin^2\left(36^{\circ}\right)}\\\\\end{aligned}\)

                                                 \(\begin{aligned}2\pi r^2&=\dfrac{80\sin\left(72^{\circ}\right)-16\pi}{\sin^2\left(36^{\circ}\right)}\\\\r^2&=\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}\\\\r&=\sqrt{\dfrac{40\sin\left(72^{\circ}\right)-8\pi}{\pi \sin^2\left(36^{\circ}\right)}}\\\\r&=3.44874763...\sf cm\end{aligned}\)

Therefore, the radius of the small circle is 3.45 cm (3 s.f.).

The combination of tickets that must be sold to have total sales of at least $5000 is  7x + 5y ≥ 5000

The situation forms an inequality. Inequality expression has <, >, ≤ or ≥. Therefore,

let

x = number of adult ticket sold

y = number of students ticket sold

Therefore, the combination of tickets must be sold to have total sales of at least $5000 is as follows:

7x + 5y ≥ 5000

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The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²

What is meant by a perfect square trinomial?

By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.

Given expression y² - 13y + ?

Comparing with the general equation

a = 1

b = -13

For perfect square trinomial

b² = 4ac

(-13)² = 4 * 1 * c

169 = 4c

c = 169/4

So the expression becomes,

y² - 13y + 169/4 = (y - 13/2)²

Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.

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Answer:

i cant see what is says srry

Step-by-step explanation:

Answer:

Extarpolation I think but I'm not sure.

Step-by-step explanation:

The unit rate of discovery of the new species of marine animals are; 2000 per year.

There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.

We have been given about 4000 new species of marine animals were discovered in the last 2 years.

We need to find the unit rate of discovery.

Total = 4000 new species

Time = 2 year.

Unit rate = new species of marine animals/ time period

Unit rate = 4000/ 2

Unit rate = 2000/1

Therefore, the unit rate of discovery of the new species of marine animals are; 2000 per year.

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Answer:

trapezoid --- \(\frac{1}{2} (b_{1} +b_{2})h\)

circle --- \(\pi r^{2}\)

triangle --- \(\frac{1}{2} bh\\\)

parallelogram --- bh

Answer: y-9x+3

Step-by-step explanation:

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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It equals this graph expression. it's a little cropped, but I'm Sure you know about the y & x axis.

Answer:

A= 6n

B= 9n

C= 15n

Step-by-step explanation:

It's just adding.

A= 6n

B= 9n

C= 15n

Answer:

Hey! Your answer should be C. MOP ≈ DAB