Match each equation with its graph

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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The supplement of BIE equals the supplement of GMD is a false assertion if lines BG and CF are parallel.

Angles with a supplementary sum are those whose sum is 180 degrees. For instance, the total of angle 130° and angle 50° is 180°, hence they are supplementary angles.

Lines BG and CF are parallel, as shown in the figure.

If BIE = X, then its supplement of BIE will be 180 - X;

similarly, if GMD = Y, then its supplement of GMD will be 180 - Y.

Since BG and CF are parallel, the supplements of BIE and GMD are interior angles on the same side ( as shown in figure)

and for parallel line the interior angle on the same side is 180

so 180 - X and 180 -Y there sum should be 180

They cannot be equal

line BG and CF are parallel, then the supplement of BIE = the supplement of GMD are not equal.

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The equation that can be represented by the fraction expression ? * 1/8 = 3 is; How many 1/8's are in 3.

In word problems on fraction, what we will seek to do is to solve different types of problems on multiplication of fractional numbers and division of fractional numbers.

For example, 3/7 of a number is 84. Find the number.

Solution:

3/7 of a number = 84

Number = 84 × 7/3

What we have done is to multiply 84 by the reciprocal of 3/7

In this question, we want to know the equation that can be represented by; ? * 1/8 = 3

To get the question mark, we will just divide 3 by 1/8.

This expressed in word problem is;

How many 1/8's are in 3?

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The amount of the last payment that Elroy will make is $710, which includes the $200 monthly payment and a balance of $510.

The last payment amount is the result of the mathematical operations of subtraction and multiplication.

The first mathematical operation was the subtraction of the down payment from the total cost of the video game system.

Using multiplication, the monthly payments are determined to be $3,400 for 17 months.  This is subtracted from the remaining balance to obtain the last payment amount.

The cost of a custom video game/virtual sound system = $4,210

Down payment = $100

The remaining balance for monthly payment = $4,110 ($4,210 - $100)

Payment period = 18 months (1¹/₂ years)

Monthly payments = $200

Payment for the first 17 months = $3,400 (17 x 200)

Last payment = $710 ($4,110 - $3,400)

Thus, if Elroy makes the minimum monthly payment of $200 till the last payment, then he will pay $710 to settle the account.

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He made a $100 down payment and agreed to pay the entire purchase off in 1 1/2 years The minimum monthly payment is $200 if he makes the minimum monthly payment up until the last payment what will be the amount of his last payment?

el hombre tenía 50 acciones.

La pregunta es, ¿cuántas acciones poseía el hombre si declararon un dividendo del 6% pagadero en acciones y tenía 50 acciones con un valor de $30 cada una?Para calcular cuántas acciones tenía el hombre,

se puede utilizar la siguiente fórmula:Dividendos = Número de acciones * Precio por acción * Tasa de dividendosDe esta fórmula,

podemos despejar el número de acciones. Así, tenemos:Número de acciones = Dividendos / (Precio por acción * Tasa de dividendos)De los datos del problema, se sabe que el hombre tenía 50 acciones con un valor de $30 cada una.

Además, la corporación declaró un dividendo del 6% pagadero en acciones. Por lo tanto, la tasa de dividendos es del 6%.Para resolver el problema, primero debemos calcular el valor del dividendo que se pagará en acciones.

Para ello, se debe multiplicar el valor de las acciones del hombre por la tasa de dividendos.

Así, tenemos:Valor del dividendo = 50 acciones * $30 * 0.06 = $90El valor del dividendo es de $90. Ahora, podemos sustituir este valor en la fórmula para calcular el número de acciones que tenía el hombre.

Así, tenemos:Número de acciones = $90 / ($30 * 0.06) = 50 accionesPor lo tanto,

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Answer:

rate goes up every 50 dollars for eatch number of deposits

The distance between the line and the point is 2 units

A perpendicular line will give the shortest distance between a point and a line.

From the equation of the line y = x+1. Therefore the slope is 1

using the equation (y-y1) = m(x-x1)

equation of the line joining the point and the line

= y-(-6) = -1(x - (-5)

= y+6 = -x-5

y = -x-11

x-1 = -x-11

2x = -10

x = -5

y = -5+1

y = -4

(x,y) = (-5,-4)

d = √ -5-(-5)²+ -4-(-6)²

d = √ 0+ 4

d = √4

d = 2 unit

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Solution

For this case we have the following dimensions:

x = 3 3/4 = 15/4

y= 3 1/3 = 10/3

z= 2 1/2 = 5/2

Then we can find the volume with the following formula:

Then we can convert to cm^3 like this:

As Tan A=Perpendicular/Base, x has the value of 21.56. Tan 54 = x/32, or x = 21.56, in this case.

When two lines cross at a 90-degree angle, they are said to be perpendicular. The definition of a parallel line is a line with constant spacing. being perfectly vertical or upright: making a straight angle with one another or another given line or plane. Adverbial phrase meaning "perpendicularly"

As a result of two lines meeting at a right angle, the word "perpendicular" denotes "at right angles." Including up and down, across, and side to side, perpendicular lines can face in any direction. Additionally, they don't need to be standing straight up from the bottom or side of the page.

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Answer:

Step-by-step explanation:

One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.

One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence

Answer:

paper left = 168.56 units²

Step-by-step explanation:

first, figure the area of the square:

area of square = 28x28 = 784 units²

second, figure the area of the circle:

radius = 1/2of 28 = 14

area of circle = Pi x Radius² = (3.14)(14)² = 615.44 units²

subtract area of circle from area of square:

784 - 615.44 = 168.56 units²

\(4(x-3)+3(2x-5)\\\\=4x -12 + 6x -15\\\\=10x - 27\)

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

To determine the total number of color-wheel size combinations for the kickboard scooter, we need to multiply the number of color options by the number of wheel size options.

Given that there are 4 color options (silver, red, blue, and purple) and 2 wheel size options (125mm and 180mm), we can use the multiplication principle to find the total number of combinations:

Total combinations = Number of color options × Number of wheel size options

Total combinations = 4 colors × 2 wheel sizes

Total combinations = 8

There are a total of 8 color-wheel size combinations for the kickboard scooter. This means that customers have 8 different options to choose from when selecting the color and wheel size for their scooter.

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The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.

To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.

Given:

Radius rate of change: dr/dt = 3 mm/min

Height: h = 20 mm

Radius: r = 10 mm

Volume of the cylinder (V) = \(r^2h\)

Differentiating with respect to time (t), we have:

dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)

Since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dV/dt = 2(10)(20)(3) + (10^2)(0)

dV/dt = 600 + 0

dV/dt = 600 mm^3/min

Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.

Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)

Differentiating with respect to time (t), we have:

dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)

Again, since the height of the cylinder is constant, dh/dt = 0.

Substituting the given values:

dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)

dSA/dt = 0 + 120π + 120π

dSA/dt = 240π mm^2/min

Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.

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Answer:

Roughly 2.

Step-by-step explanation:

12x5=60. So he'll need about 2 whole packages of paper. He'll have 40 more papers left.

I do not understand what do you mean

Answer:

a) yes

The point ( 1,-3) lie on the given line y = 5x-8

b) No

 The point ( -2,-7) does not lie on the given line y = -3 x +1        

Step-by-step explanation:

Step(i):-

a)   Given line  y = 5 x - 8 ...(i)

   Point ( 1, -3 )

 substitute  ( 1,-3 ) in equation (i)

           -3 = 5(1) - 8

         -3 = 5 -8

         -3 = -3

∴ The point ( 1,-3) lie on the given line y = 5x-8

b)

Given line  y = -3 x +1 ...(i)

   Point ( -2, -7 )

 substitute  (-2, -7 ) in equation (i)

           -7 = -3(-2) +1

         -7 ≠ 7

 The point ( -2,-7) does not lie on the given line y = -3 x +1        

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) One way you can try to identify the pattern is to look for the differences between the images shown, then divide those differences by 2. For example, the total number of vertical dots is 2, then 4 in patterns 2 and 4. This suggests the total number of vertical dots is equal to the pattern number..

The total number of horizontal dots is 4, then 6 in patterns 2 and 4. This suggests that the number of horizontal dots increases by 1 in each pattern. This would mean pattern 1 would have 3 total horizontal dots and 1 total vertical dot. It will look like one row of 3 dots.

Pattern 3 will have 5 total horizontal dots and 3 total vertical dots. The sequence of patterns will look like the attachment.

__

b) The total number of dots in each pattern is 2×(pattern number) +1. Then the number of dots in Pattern 7 will be 2×7 +1 = 15 dots.

Answer: I’m

Step-by-step explanation: I’d not knkw

Answer:

Step-by-step explanation:

To find the function that represents the total flight times, we need to add the functions f(x) and g(x) together:

f(x) = 0.003x - 1.2

g(x) = 0.0015x + 0.8

Adding these two functions, we get:

h(x) = f(x) + g(x)

= (0.003x - 1.2) + (0.0015x + 0.8)

Simplifying the expression:

h(x) = 0.003x - 1.2 + 0.0015x + 0.8

= (0.003x + 0.0015x) + (-1.2 + 0.8)

= 0.0045x - 0.4

Therefore, the function that represents the total flight times is:

h(x) = 0.0045x - 0.4

Answer:

h(x) = 0.0045x - 0.4

Step-by-step explanation:

The dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

Given that:

Total surface area of the rectangular box or cuboid = 100 cm²

A rectangular box with largest volume is a cube.

The total surface area of a cube = 6 times square of one edge length.

Let the edge length = given dimensions; x, y, z

So,

x = y = z

6x^2 = 100

x^2 = 100 / 6

x = √ 100 / 6

x = 10 / √ 6 cm

x = 2.449 cm

Hence, dimensions of the rectangular box with largest volume if the total surface area is given as 100 cm2: x = y = z = 2.449 cm.

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The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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The equation that shows the point-slope form of the line passing through (3, 2) with a slope of (1/2) is:

y - 2 = (1/2)(x - 3)

In the point-slope form of a linear equation, the formula is y - y1 = m(x - x1), where (x1, y1) represents a point on the line, and m represents the slope of the line. By substituting the given values into the formula, we can determine the correct equation.

In this case, the given point is (3, 2) and the slope is (1/2). Plugging these values into the formula, we get:

y - 2 = (1/2)(x - 3)

This equation represents the line passing through the point (3, 2) with a slope of (1/2). It is in the point-slope form, which allows us to easily determine the equation of a line based on a given point and slope.

Therefore, the correct equation is y - 2 = (1/2)(x - 3).

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Answer: B

Step-by-step explanation:

Answer:

132.

Step-by-step explanation:

That would be the number of permutations of 2 from 12.

12P2 = 12! / (12-2)!

= 132.

Step-by-step explanation:

area of a circle is r x r x pi

so one quarter of it us r x r x pi /4

Answer:

1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1,  914/2,  1371/3

Step-by-step explanation:

3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156  

4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get

38/45

5/8 - 2/9  can be simplified to 45/72 - 16/72. Subtract this and you get

29/45

3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24

113/24 or about 4.7

Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example

1x457 = 457/1

2x457 = 914/2

And finally 3x457 = 1371/3

Answer:

48.43552415324934

Step-by-step explanation:

61.73²-38.27² = 2346

\(\sqrt{2346}\) = 48.43552415324934

SOLUTION

We want to find the area of the rectangle with the given side lengths as indicated in the question.

The area of a rectangle is given as

So, this means to get the area, we will multiply the side lengths, we have

Solving the fraction, we have

Hence the area in fraction in the simplest form is