4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

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

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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Tan P expressed as a fraction in simplest terms is 15/29

Trigonometric Identities are defined as equalities involving trigonometry functions and also holds true for all the values of variables given in the equation.

There are five types of trigonometric identities;

From the information given, we have that;

Opposite side = 15

Adjacent side = 29

But the tangent trigonometric identity is;

Tan P = opposite/adjacent

Substitute the value

Tan P = 15/29

Hence, the value is 15/29

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Answer:

how did you stub your toe lol you str8?

Step-by-step explanation:

Answer:

$525.13

Step-by-step explanation:

cost per month = total expenses /  months in a year

total expenses = fixed cost + variable cost

$2,125.10 + $4,176.43 = $6,301.53

cost per month = $6,301.53/ 12 = $525.13

The value of the number is x = 34.

Let's break down the problem and solve it step by step.

1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.

2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).

According to the problem statement, the two expressions are equal. We can set up the equation as follows:

2x - 5 = 3 * (x/2 + 4)

Now, let's solve the equation:

2x - 5 = 3 * (x/2 + 4)

Distribute the 3 to both terms inside the parentheses:

2x - 5 = (3/2)x + 12

Multiply through by 2 to eliminate the fraction:

2(2x - 5) = 2((3/2)x + 12)

4x - 10 = 3x + 24

Next, let's isolate the x term by moving the constant terms to the other side of the equation:

4x - 3x = 24 + 10

Simplify:

x = 34

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Answer:

LOL

Step-by-step explanation:

└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘└(^o^)┘

Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)

Hexagons are polygons with six sides and six angles.

Six equilateral triangles make up a regular hexagon, which has six equal sides and six angles. Whether you're dealing with an irregular hexagon or a standard hexagon, there are numerous approaches to figure out the area of a hexagon.

The area of hexagon formula can be calculated in a number of different ways. The various techniques primarily depend on the hexagon's spitting motion.

It can be split into two triangles and one rectangle, or six equilateral triangles. We shall examine numerous approaches to calculating the hexagon's surface area in this post.

According to the given information

Area of Hexagon having six sides = \(\frac{3\sqrt{3}s^{2} }{2}\)

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Answer

$4500

Step-by-step explanation:

Since for every 6 workers it's $1800, we're gonna divide 1800 by 6 to find out how much it's for one worker.

1800 divided by 600 is 300

If you multiply $300 x 15 it is equal to 4500

A proportional relation is the one that can be expressed using an equation with the following structure:

Where k is a constant of proportionality (it has to be equal for every value in the relationship).

1. Graph 1 shows a proportional relationship, this is because all values are ruled by the same constant of proportionality, we can observe it because the slope of the line is always the same.

2. Graph 2 does not show a proportional relationship, this is because although the graph has the same slope, it does not passes through the origin, which means that it does not follow the rule y=kx.

3. Graph 3 does not show a proportional relationship because it has more than one constant of proportionality, we can see it because the graph has two slopes.

Answer:

\(3(4*8) + 2(3\frac{1}{2} * 4)\)

Step-by-step explanation:

Since there are 3 4 yd by 8 yd rectangles, you can find the area of one of then then mutliply that by 3 and since there is 2 4 yd by 3 1/2 yd triangles, find the area of one of them and multiply that by 2.The equation that best fits is:

\(3(4*8) + 2(3\frac{1}{2} * 4)\)

The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

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Answer:

1/36

Step-by-step explanation:

(1/6)(1/6)

Answer:

12 units^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 ( 6 ) * 4

A = 1/2 (24)

    = 12 units^2

Answer:

1875

Step-by-step explanation:

1500 x .25 is 375 add them together

Answer:

Area of the rectangular park = 2/3 square mile

Let us assume the width of the rectangular park = x

Then

The length of the rectangular park = 2 2/3 * x mile

                                                      = 8x/3 mile

Then

Area of the rectangular park = Length * Width

2/3 = (8x/3) * x

2/3 = 8x^2/3

(2 * 3)/3 = 8x^2

2 = 8x^2

x^2 = 2/8

x^2 = 1/4

x^2 = (1/2)^2

x = 1/2

So the width of the park is 1/2 feet.

Step-by-step explanation:

Brainliest would be nice

Answer:

2/3

Step-by-step explanation:

The equations that could be used to solve for the number of male runners (m) in the race are (m+75)/m = 3 / 2 and 150 + 2m = 3m. The correct options are A and B.

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.

Given that at a running race, the ratio of female runners to male runners is 3 to 2. There are 75 more female runners than male runners.

The ratio is written as,

f/ m = 3 / 2

There are 75 more female runners than male runners.

f = m + 75

The equation can be written as,

f / m = 3 / 2

( m + 75 ) / m = 3 / 2

Or

150 + 2m = 3m

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Answer:

10^2

Step-by-step explanation:

10*10 =100

The quotient of dividing (3x⁴ - 2x³ + 7x² - 4) by (x - 3) is 3x³ + 7x² + 28x + 84 and the remainder is 248

The division expression is given as:

(3x⁴ - 2x³ + 7x² - 4) / (x - 3)

Set the divisor to 0

x - 3 = 0

Solve for x

x = 3

Substitute x = 3 in 3x⁴ - 2x³ + 7x² - 4

3x⁴ - 2x³ + 7x² - 4 = 3(3)⁴ - 2(3)³ + 7(3)² - 4

Evaluate

3x⁴ - 2x³ + 7x² - 4 = 248

This means that the remainder is 248

Recall that:

Dividend = Divisor * Quotient + Remainder

So, we have:

3x⁴ - 2x³ + 7x² - 4 = x - 3 * Q + 248

Subtract 248 from both sides

3x⁴ - 2x³ + 7x² - 252 = x - 3 * Q

Divide both sides by x - 3

Q = (3x⁴ - 2x³ + 7x² - 252)/(x - 3)

Factorize the numerator

Q = (x - 3)(3x³ + 7x² + 28x + 84)/(x - 3)

Cancel out the common factors

Q = 3x³ + 7x² + 28x + 84

Hence, the quotient is 3x³ + 7x² + 28x + 84 and the remainder is 248

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Slope is the change in Y over the change in x.

Use 2 points on the graph(x,y) to use to solev6.

(2,3) and (0,-7)

Slope = (-7 -3) / (0-2)

Slope = -10/-2

Slope = 5

Answer: A the slope is 5

The measure of the central angle θ in degrees and then multiply by 1/(2π). Then that result by πr²

We will use the following points to find the area of the sector;

First of all, the angle that is formed in a full rotation is 2π.

The area of a circle is given by the formula; A = πr²

The central angle is given by the angle symbol θ. Thus, we have to multiply the area of the circle by a factor θ/2π

Thus, the area of a sector is given by the formula;

A = (θ/2π) * πr²

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Answer:

3 types of polynomials. They are monomial, binomial and trinomial.

-------------->

There can be rational, irrational and imaginary solutions. Irrational and imaginary solutions will always come in pairs. This is due to the fact that to find these types of solutions, you must use the Quadratic Formula and the \begin{align*}\pm\end{align*} sign will give two solutions.

Step-by-step explanation:

Answer:

0.3

Step-by-step explanation:

Answer:

6 divided by 20 is 0.3

(your welcome)

Answer:

We can use the formula to find the length of a circular arc given the measure of the central angle and the radius:

Length of arc = (central angle measure / 360) x 2πr

where r is the radius of the circle.

Given that the central angle measure is 40° and the length of the arc is 6 cm, we can set up the equation:

6 = (40/360) x 2πr

Simplifying the fraction and solving for r, we get:

6 = (1/9) x 2πr

r = 9 x 6 / 2π

r = 27/π

So the radius of the circle is 8.59 cm (rounded to two decimal places).

Answer:

G(-1) = -2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify

G(x) = 5x + 3

Step 2: Evaluate

Answer:

G = -2

Step-by-step explanation:

Plug in -1 for x.

5(-1) + 3

-5 + 3

-2

G = -2

From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.

As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

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From the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

Who is Helen Keller?

Hellen Keller was one of the educators in America. Her influence was of importance because she was both blind and deaf. Thus, her memoir chronicles the details of the challenges that one faces when trying to educate a physically challenged child.

As such, we can see from the passage that Helen was blind thus she was unable to see water and could only know it via a sensation on her hands.

The value of the missing length to the nearest tenth are;

a. x = 7.5

b. x = 7.8

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

Therefore ;

c² = a²+b²

a. x² = 9²-5²

x² = 81-25

x² = 56

x = √56

x = 7.5 ( nearest tenth)

b. using Pythagoras theorem also!

x² = 6²+5²

x² = 36+25

x² = 61

x = √61

x = 7.8( nearest tenth).

Therefore the value of the missing values are 7.5 and 7.8

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The answer is [-1/2-1/2]

The range of the function f(x) is [-1/2, 1/2].

The range is the set of possible output values, which are shown on the y-axis. The range of a function, f is the set of all values f(x) , such that x is in the domain of f. Graphically speaking, the range is the set of all y such that (x,y) is a point on the graph of f.

For the given situation,

The function f(x) = 1/2sin(2x-π)

The graph below shows the range of the function f(x) = 1/2sin(2x-π) graphically.

As the range of sinx function is [-1, 1], the range of sin2x is also [-1, 1].

Let us consider \(\theta = 2x-\pi\)

⇒ Then, \(sin \theta\) lies in the range \([-1,1]\)

⇒ \(-1\leq sin(2x-\pi )\leq 1\)

⇒ \((\frac{1}{2} )(-1)\leq sin(2x-\pi )\leq( 1)(\frac{1}{2} )\)

⇒ \(\frac{-1}{2} \leq sin(2x-\pi )\leq\frac{1}{2}\)

Hence we can conclude that the range of the function f(x) is [-1/2, 1/2].

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The possible price for the items if the store sells $600 is (c) $40

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

The supply-demand graph

If the store sells $600, then there is a supply worth of $600

The equation of the supply line is calculated as

y = mx + c

Where

c = y = 0

i.e. c = 100

So, we have

y = mx + 100

Using another point on the graph, we have

30m + 10 = 400

So, we have

m = 13

This means that

y = 13x + 100

For a supply of 600, we have

13x + 100 = 600

So, we have

13x = 500

Divide by 13

x = 38.4

Approximate

x = 40

Hence, the possible price for the items is (c) $40

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Answer:

it will rotate 7.5 degrees

Step-by-step explanation: