Which ordered pair is a solution to the line whose equation is 2y=-3x-2
A.(2, -3) C. (2, -4)
B. (-3, 2) D. (-4, 2)

Answer:

A. 94 degrees

Step-by-step explanation:

Both the angles are similar and can be called parallel angles.

They are equal to each other so:

m∠2 = m∠3

4x - 26 = 3x + 4

4x - 3x = 4 + 26

x = 30°

m∠2 = 4x - 26

        = 4(30) - 26

        = 94°

Answer:

∠ 2 = 94°

Step-by-step explanation:

∠ 2 and ∠ 3 are vertically opposite angles and are congruent, so

4x - 26 = 3x + 4 ( subtract 3x from both sides )

x - 26 = 4 ( add 26 to both sides )

x = 30

Then

∠ 2 = 4x - 26 = 4(30) - 26 = 120 - 26 = 94°

FIFA created a football with a 21 cm circumference out of leather. If 10% of the leather is wasted, the cost of leather with labour is Rs. 25 per square centimetre. All total, Rs. 31,173.90 worth of leather was purchased to produce one football.

The diameter of the leather used to make the football is 21 cm, so its radius is 10.5 cm (half of the diameter).

The formula for calculating a sphere's surface area can be used to determine how much leather is required to produce a football:

Surface area = \(4\pi r^2\)

Surface area = 4π\((10.5)^2\)

Surface area = 1385.44 sq. cm

If 10% of the leather is wasted, then the actual amount of leather used is 90% of the total leather bought. So, we need to calculate the cost of 90% of the leather:

Cost of leather = 90% of the total leather cost

Cost of leather = 0.9 x 1385.44 sq.cm x Rs. 25/sq.cm

Cost of leather = Rs. 31,173.90

Therefore, the total cost of the leather bought to make the football, including the labour cost, is Rs. 31,173.90.

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Answer:

what topic???????????????????

Answer:

  34 square units

Step-by-step explanation:

You want the area of the triangle with vertices X(6, 8), Y(3, 3), and Z(13, -3).

There are several ways the area of a triangle can be calculated from the coordinates of the vertices. One relatively easy method is to find half the absolute value of the sum of the determinants of adjacent pairs of points.

This calculation is shown in the second attachment.

The area of ∆XYZ is 34 square units.

A slope calculation will tell you side XY is perpendicular to side YZ. This means you can find the area from the lengths of these two sides. The distance formula can tell you the lengths.

  XY = √((3 -6)² +(3 -8)²) = √(9 +25) = √34

  YZ = √((13 -3)² +(-3 -3)²) = √(100 +36) = 2√34

 Area = 1/2bh = (1/2)(√34)(2√34) = 34 . . . . square units

Pick's theorem tells you the area of a polygon with vertices on grid points can be found by counting the grid points on the boundary and interior to the boundary.

  A = i + (b/2) -1

This triangle has the three given vertices on grid points, along with point (8, 0), which is the midpoint of YZ. There are 33 interior points, so the area is ...

  A  = 33 +(4/2) -1 = 34 . . . . square units

The length of XZ is ...

  XZ = √((13 -6)² +(-3 -8)²) = √(49 +121) = √170

Heron's formula tells you the area is given by ...

  A = √(s(s -a)(s -b)(s -c)) . . . . . . where s = (a+b+c)/2, the semiperimeter

The third attachment shows this calculation gives an area of 34 square units.

__

Additional comments

The slope calculation tells you the slope of XY is ...

  m = (y2 -y1)/(x2 -x1) = -5/-3 = 5/3

and the slope of YZ is ...

  m = -6/10 = -3/5 . . . . . . . . the opposite reciprocal of the slope of XY

Hence these sides are perpendicular, as we noted above.

We like Pick's theorem for finding the areas of small figures with irrational side lengths (such as this one). It just involves counting, which is often easier than using a bunch of different formulas for slope or length.

The determinant formula is easy to compute, but tedious to enter on a calculator. It is much easier to program a spreadsheet for this. As with Pick's theorem, the method applies to a polygon with any number of vertices.

  \(\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-bc\)

In these 2×2 matrices, the coordinates can be listed in rows or in columns. It makes no difference to the calculation. The key is to work in one direction around the figure. (Here, we went CCW.)

The triangle is drawn in the first attachment. The geometry program that drew it also calculated its area to be 34 square units.

You may have noticed that the "determinant" method and Pick's theorem guarantee that the area of any polygon with integer coordinates will be an integer multiple of 1/2 square unit. That is, it will never be irrational. (You might not see that using Heron's formula.)

#95141404393

In ∆ABC,

As, we have :

So, By angle sum property of triangle :

∠A + ∠B + ∠C = 180°

\( \tt : \implies 60\degree + 60\degree + \angle C = 180\degree\)

\( \tt : \implies 120\degree + \angle C = 180\degree\)

\( \tt : \implies \angle C = 180\degree - 120\degree\)

\( \tt : \implies \angle C = 60\degree\)

Now, we have :

As, all angles are of same length, therefore it is a equilateral triangle.

We know that sides of equilateral triangle are equal.

\( \tt : \implies AB = BC = AC\)

Now, we have BC = 12 units.

Hence, all sides are of 12 units.

Now, we know that area of equilateral triangle is :

\( \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}\)

\( \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}\)

\( \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}\)

\( \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}\)

\( \tt : \implies Area = 36\sqrt{3} units^{2}\)

So, Area of given triangle is 36√3 units².

We count the total number of possibilities for the area codes in the next manner:

1. For the first digit of the codes, we have six options, these are; 3,4,5,6,7,8

2. For the second digit of the codes, three options\; 2,3,4

3. For the third digit of the codes with can put any digit number except 6,7 or 8, that restriction let us the following possibilities:0,1,2,3,4,5,9

We will use the multiplicative rule to count the total number of possible codes with this restrictions, that is we will apply a rule of the form:

In our the specific case

Therefore, we conclude that with these restriction, the total number of codes is 126

Answer:

Y=1/3x

Step-by-step explanation:

Degree follows linear rule

Answer:

\(\frac{23}{7}\)

General Formulas and Concepts:

Pre-Algebra

Statistics

Step-by-step explanation:

Step 1: Define

Total:   2 + 3 + 2 + 3 + 3 + 5 + 5 = 23

Amount:   7 numbers

Step 2: Find mean

And we have our final answer!

Answer:

(-2,0)

Step-by-step explanation:

Herr you go, I hope this helps you.

The coordinates of the vector after rotation is (-2,0)

The given parameters are:

Vector = (0,2)

Rotation = 270°clockwise about the origin

The rule of 270° rotation clockwise about the origin is:

(x,y) = (-y,-x)

So, we have:

(0,2) = (-2,0)

Hence, the coordinates of the vector after rotation is (-2,0)

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The company can produce the amount of 4 million T-shirts and still make the same profit, as the profit formula P=-r+fr+r is directly proportional to the number of T-shirts produced. Therefore, reducing the number of T-shirts produced will not affect the profit.

The profit P (in millions of dollars) for a T-shirt manufacturer can be modeled by P=-r+fr+r, where r is the number in millions of T-shirts produced. As the company produces 4 million T-shirts, the profit is 4 million. This means that the profit is directly proportional to the number of T-shirts produced. Thus, reducing the number of T-shirts produced will not affect the profit; the company can still make the same profit by producing fewer T-shirts. The formula for the profit simplifies to P = 4 - r, so for the company to make the same profit with a lesser number of T-shirts, the value of r must remain 4 million. Therefore, the company can produce 4 million T-shirts and still make the same profit.

P=-r+fr+r

P= 4 - r

Therefore, r = 4 million

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The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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Answer:

2.925

this is the answer

Answer:

2.93

Step-by-step explanation:

This is because when rounding, anything above five is rounded up and the number in the hundredths place will be rounded up a number.

Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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the ladder reach 14.13 feet high up the wall.

Anelys leans a 16-foot ladder against a wall so that it forms an angle of 61° with the ground.

We have to calculate how high up the wall does the ladder reach.

Solution

We have to calculate how high up the wall does the ladder reach.

Let's assume that the height of the wall is h, and the distance between the ladder's foot and the wall is d.

The hypotenuse of the right-angled triangle (the ladder) is 16 feet.

The angle formed by the ladder and the wall is 61°.

We know that sine function of an angle is the ratio of the opposite side to the hypotenuse:

Therefore: Now we can calculate the height of the wall:

We get that the ladder reaches 14.13 feet up the wall (rounded to the nearest hundredth of a foot).

So, the answer is 14.13 feet.

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Answer:

178.6 thank me later

Step-by-step explanation:

To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

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The flow rate of 5 MGD is equivalent to 7.73615 cfs

To convert million gallons per day (MGD) to cubic feet per second (cfs), we need to use the conversion factor between the two units. The conversion factor is 1 MGD = 1.54723 cfs.

Therefore, to convert MGD to cfs, we can multiply the given value of MGD by the conversion factor. For example, if we have a flow rate of 5 MGD, we can convert it to cfs as follows:

5 MGD x 1.54723 cfs/MGD = 7.73615 cfs

So, the flow rate of 5 MGD is equivalent to 7.73615 cfs. Similarly, we can convert any given flow rate in MGD to cfs by using the same conversion factor.

It is important to note that these units are commonly used in the context of water supply and distribution systems, where flow rates are a crucial factor in the design and operation of such systems. Therefore, knowing how to convert between different flow rate units is essential for engineers and technicians working in this field.

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Answer:

To calculate the total amount, first find out how much you contribute and then add the amount your employer contributes.

Your contribution: 10% of $50,000

= ($50,000 * 10) / 100

= $5,000

Employer's contribution: 3% of $50,000

= ($50,000 * 3) / 100

= $1,500

Total contribution:

= Your contribution + Employer's contribution

= $5,000 + $1,500

= $6,500

So, the total amount being put away in your account each year is $6,500.

Step-by-step explanation:

The quotient of the division problem is (x + 1)/(x +2). The result is obtained by determining the factors of the two quadratic equations.

The quadratic equation can be expressed as

ax² + bx + c = 0

Where c is a constant.

To find the factors of a quadratic equation, follow these steps!

Find the quotient of (x² + 2x + 1)/(x² + 3x + 2) = 0!

For quadratic equation x² + 2x + 1:

The common factors: (x + 1)(x + 1)

For quadratic equation x² + 3x + 2:

The common factors: (x + 2)(x + 1)

The quotient of the quadratic equations is

(x² + 2x + 1)/(x² + 3x + 2) = 0

(x + 1)(x + 1)/(x + 2)(x + 1) = 0

(x + 1)/(x + 2) = 0

Hence, the quotient of the quadratic equations is (x + 1)/(x + 2) = 0.

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Answer:

Quadrant 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Answer: 180

Step-by-step explanation:

Answer: D. 180

Step-by-step explanation:

The number of cups of rice the restaurant would need for 20 cups of veggies is 5.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

The recipe calls for 1/4 cup of rice for every 1 cup of veggies.

Now,

1cup veggie = 1/4 cup rice

20cup veggies= 1/4 * 20 cup rice

=5

Therefore, by algebra the count of cups of rice will be 5.

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You will input your desired power (0.85), significance level (0.05), and other necessary information such as effect size and standard deviation, which are dependent on the specific context of your tire experiment.

To determine the number of tires that should be sampled to achieve a power of 0.85 in a hypothesis test at the 5% significance level, you'll need to consider a few factors such as effect size, standard deviation, and critical value.

Power analysis is a crucial step in experimental design and helps to ensure that the test is sensitive enough to detect meaningful differences between groups, while maintaining a low probability of making a Type I error (false positive).

In this context, power is the probability of correctly rejecting the null hypothesis when it is false, and the 5% level indicates the maximum probability of making a Type I error. To achieve a power of 0.85, you will need to perform a power analysis using a statistical software or a power analysis calculator.

You will input your desired power (0.85), significance level (0.05), and other necessary information such as effect size and standard deviation, which are dependent on the specific context of your tire experiment. The output will provide you with the required sample size to achieve the desired power.

Keep in mind that increasing the sample size generally leads to higher power, but also requires more resources and time. It is essential to balance these factors while designing your experiment to ensure meaningful results without unnecessary costs.

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Answer:

Biology

the answer is

c . two .

Answer:

r=-2

Step-by-step explanation:

i looked it up

Answer: 1.4

Step-by-step explanation: Divide 2.1 by 1.5

Have a brilliant day mate-Lily ^_^

Answer:

7/5

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "1.5" was replaced by "(15/10)". 2 more similar replacement(s)

STEP  1 :

                3

Simplify   —

                 2

Equation at the end of step  1 :

  21       3

 —— ÷ —

   10      2

STEP  2 :

                 21

Simplify   ——

                  10

Equation at the end of step  2

 21       3

 —— ÷ —

 10       2

STEP 3

              21          3

Divide  ——  by  —

              10           2

3.1    Dividing fractions

To divide fractions, write the divison as multiplication by the reciprocal of the divisor :

21         3        21       2

——  ÷  —   =   ——  •  —

10         2         10       3

Final result :

 7            

 — = 1.40000  

 5          

Answer:

es 54 espero que esto ayude adiós!

Step-by-step explanation:

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

Un cilindro es una forma tridimensional con dos bases paralelas unidas por una trayectoria curva a una distancia constante.

El volumen de un cilindro es:

Volumen = πr²h

Given that: r = 6 cm; h = 9 cm;

Volumen = πr²h = π(6)²(9) = 1018 cm³

El volumen de un cilindro con un radio de 6 cm y una altura de 9 cm es 1018 cm³

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The number of classes should be an integer and this value will typically be a fraction. The limit needs to be raised in order to take into account all observations when this calculation yields an integer.

The fixed and variable costs can be determined by solving the system of equations if the variable cost is a fixed charge per unit and the fixed costs stay the same. The high-low method can, however, produce more or less accurate findings based on the distribution of values between the highest and lowest monetary values or quantities, therefore it is important to use caution when applying it.

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Answer:

5 pounds

Step-by-step explanation:

$20/$4 = 5 pounds

HOPE IT HELPS!