What is the equation of the line that passes through the point (3,2) and has a slope of -2?

The area of the circle with a radius of 10 meters is given as follows:

314.16 m².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr².

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle, on a segment that passes through the center. Hence, the diameter’s length is twice the radius length.

Considering the above concept, the measure of the radius for the circle in this problem is given as follows:

r = 10m.

Thus the area of the circle is given as follows:

A = π x 10²

A = 314.16 m².

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Answer:

3 and 1/2  minus 2/3  minus 1/3 =

7/2 minus 2/3 minus 1/3 =

21/6 minus 4/6 minus 2/6 =

17/6 - 2/6 =

15/6 =    5/2 = 2 and 1/2

Optionally, you can think of it this way:

He used 2/3 yards for the pillow and 1/3 yard for the scarf.

So he used 1 yard

3 and 1/2 minus 1 = 2 and 1/2 = 5/2

Step-by-step explanation:

Answer:

To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.

375 / 125 = 3

So 375 is 3 times 125. Multiplying 3 by 100, we get:

3 * 100 = 300%

So the correct answer is C) 300%.

Succes!

Answer:

C) 300%

Step-by-step explanation:

Percent of 125 means the value of x/125.

Where x is the value 375.

375/125 = 3

3 * 1 =

3 * 100% = 300%

It can be mistaken as 33.33% since 125 is 33.33% of 375.

^^ This question is asking 125 is what percent of 375.

But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.

The proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places.

To find the proportion of Arts majors who have not found a job, we first need to calculate the total number of students who have not found a job.

The total number of students who have not found a job would be 1500 - 1380 = 120.

To calculate the proportion of students who have not found a job, we can divide the number of students who have not found a job by the total sample size:

The proportion of students who have not found a job = 120 / 1500 = 0.08 or 8%.

Therefore, the proportion of Arts majors who have not found a job is 8%, rounded off to two decimal places. This suggests that a majority of the graduating Arts majors from the University of Western Cape have found employment before their graduation.

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The measure of YZ = 27

WY = 27√2

RX = 27/2 √2

and <XYZ = <ZWY = < WRZ= 90°

A square is a quadrilateral with all the sides and angle equal. This are some of the properties of a square;

1. All four interior angles are equal to 90°

2. All four sides of the square are congruent or equal to each other.

3. The opposite sides of the square are parallel to each other.

4. The diagonals of the square bisect each other at 90°

5. The two diagonals of the square are equal to each other.

since a sides are equal,

YZ = 27

using Pythagoras

WY² = 27²+27²

WY = √1458

WY = 27√2

RX = WY/2

RX = 27/2 √2

and

XYZ = <ZWY = < WRZ= 90°

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Answer:

B

Step-by-step explanation:

Answer:

a=30  b=30 c= 75

Step-by-step explanation:

By inferring that all triangles are the same measurments, you can easily knock out A and B since it is the same angle that is labeled 30 degrees.

Now to find C you need to know that all angles of a triangle add up to 180 degrees. You also need to know that both bottom angles are the same angle measurement, indicated by the little circle in the angle.

So, For the middle triangle you can create an equation. 30(which was b) + 2c = 180

Subtract 30 from both sides and you are left with:

2c = 150

Divide by 2 on each side:

c= 75

Answer:

.5

Step-by-step explanation:

2/4  2 goes into 2 1 time and 2 goes into 4 2 times so therefore 2/4 is = 1/2

1/2= .5

9514 1404 393

Answer:

Step-by-step explanation:

The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:

  1. reflection across the origin

  2. rotation 180° about the origin

  3. reflection across both x- and y-axes, in either order

__

The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...

  4. reflection across the x-axis and translation 6 units right, in either order

Answer:

perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

$.09 per inch

Step-by-step explanation:

1 foot = 12 inches

Multiply each side by 7

7 ft = 12*7 = 84 inches

Take the cost and divide by the number of inches

$7.56 / 84 inches

$.09 per inch

Answer: 0.09 per inch  because multiply that by 12 and thats a foot and multiply that by 7 and you'll get 7.56

Step-by-step explanation:

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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Answ

Step-by-step explanation:wirugf4

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

To find the quotient of the expression (-15b^5 + 18b^3) divided by 3b, we can perform the division by simplifying each term separately.

First, let's divide -15b^5 by 3b:

(-15b^5) / (3b) = -15/3 * b^5/b = -5 * b^(5-1) = -5b^4

Next, let's divide 18b^3 by 3b:

(18b^3) / (3b) = 18/3 * b^3/b = 6 * b^(3-1) = 6b^2

Now, we have simplified each term individually. The resulting expression is:

-5b^4 + 6b^2

This is the quotient of (-15b^5 + 18b^3) divided by 3b. The expression simplifies to -5b^4 + 6b^2.

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Answer:

1:7

Step-by-step explanation:

There was originally 28 students. Since 4 of them are gone. There are 24 students.
the ratio of students to markers is now:

24:168

Now you have to simplify it by finding the lowest common denominator:

24 and 168 both share 1 so:

24/24 = 1, 168/24 = 7

1:7

Therefore, for every student on that day, there is 7 markers

7 markers per student

Answer:

it's 24 ...................

The number of tiles represents the area of the rectangle.

The dimensions of the rectangles are:

We have:

\(Area = 48\) --- see attachment

Rectangle A

\(Length = 1\)

The area of a rectangle is:

\(Area = Length \times Width\)

So, we have:

\(48 = 1\times Width\)

\(48 = Width\)

\(Width = 48\)

Hence, the dimension is: 1 by 48

Rectangle B

\(Length = 2\)

The area of a rectangle is:

\(Area = Length \times Width\)

So, we have:

\(48 = 2\times Width\)

Divide by 2

\(24 = Width\)

\(Width = 24\)

Hence, the dimension is: 2 by 24

Rectangle C

\(Length = 4\)

The area of a rectangle is:

\(Area = Length \times Width\)

So, we have:

\(48 = 4\times Width\)

Divide by 4

\(12 = Width\)

\(Width = 12\)

Hence, the dimension is: 4 by 12

Rectangle D

\(Length = 8\)

The area of a rectangle is:

\(Area = Length \times Width\)

So, we have:

\(48 = 8\times Width\)

Divide by 8

\(6 = Width\)

\(Width = 8\)

Hence, the dimension is: 8 by 6

Rectangle E

\(Length = 16\)

The area of a rectangle is:

\(Area = Length \times Width\)

So, we have:

\(48 = 16\times Width\)

Divide by 16

\(3 = Width\)

\(Width = 3\)

Hence, the dimension is: 3 by 16

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The area of the shaded part is 640.56 m²

The area of a shape is the space occupied by the boundary of a plane figures like circles, rectangles, and triangles.

The figure is a concentric circle, i.e a circle Ina circle. Therefore to calculate the area of the shaded part,

Area of shaded part = area of big circle - area of small circle

area of big circle = 3.14 × 20²

= 1256

area of small circle = 3.14 × 14²

= 615.44

Area of shaded part = 1256 - 615.44

= 640.56m²

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The differential equation (y^2 cos(x−y) −x^2 sin(x−y)) dx+(2xycos(x−y) +x^2 sin(x−y)) dy =0 is not exact, because it cannot be written in the form F(x,y)dx + G(x,y)dy = 0 for some functions F and G.

b. The differential equation (2x+12y^2)dx+(12x+2y)dy=0 is exact, because it can be written in the form F(x,y)dx + G(x,y)dy = 0 for F(x,y) = 2x + 12y^2 and G(x,y) = 12x + 2y.

To find a general solution in an implicit form, we can integrate both sides:

∫ (2x + 12y^2) dx + ∫ (12x + 2y)dy = C

x^2 + 6y^2 + 12xy = C

c. The differential equation (12x^2 + 2y) dx+(2x + 12y^2)dy=0 is not exact, because it cannot be written in the form F(x,y)dx + G(x,y)dy = 0 for some functions F and G.

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The expression of the statement that is given above can be written as follows: 262144y³ + 27.

To determine how to express the given statement the following should be carried out.

When a number is said to be cubed, it means that the number should be times by itself three consecutive times.

That is (64y + 3)³. This means that various components should be multiplied by itself three times. That is,

= 64×64×64(y)³ + 3×3×3

= 262144y³ + 27.

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a. the man received GH¢26062.23 in interest at the end of 7 years.

b. the man received a total of GH¢40162.23 at the end of 7 years.

The interest that is calculated using bοth the principal and the interest that has accrued during the previοus periοd is called cοmpοund interest. It differs frοm simple interest in that the principal is nοt taken intο accοunt when determining the interest fοr the subsequent periοd with simple interest.

a. Tο find the amοunt οf interest the man received at the end οf 7 years, we need tο first calculate the amοunt οf mοney he wοuld have at the end οf 4 years at 8% cοmpοund interest:

\(A = P(1 + r/n)^{(nt)\)

where A is the amount, P is the principal, r is the interest rate, n is the number of times interest is compounded per year, and t is the time in years.

In this case, P = GH¢14100.00, r = 0.08, n = 1 (compounded annually), and t = 4. Plugging these values into the formula, we get:

\(A = GH¢14100.00(1 + 0.08/1)^{(1*4)\)

\(A = GH¢14100.00(1.08)^4\)

A ≈ GH¢19792.11

So at the end of 4 years, the man would have GH¢19792.11. We can now use this as the principal and calculate the amount he would have at the end of 7 years at 12% compound interest:

\(A = P(1 + r/n)^{(nt)\)

where P = GH¢19792.11, r = 0.12, n = 1, and t = 7.

Plugging these values into the formula, we get:

\(A = GH¢19792.11(1 + 0.12/1)^{(1*7)\)

A ≈ GH¢40162.23

So at the end of 7 years, the man would have GH¢40162.23. To find the amount of interest he received, we subtract the original principal of GH¢14100.00:

Interest = GH¢40162.23 - GH¢14100.00

Interest = GH¢26062.23

Therefore, the man received GH¢26062.23 in interest at the end of 7 years.

b. To calculate the total amount the man received at the end of 7 years, we add the interest received to the original principal plus the amount earned from compound interest:

Total amount = GH¢14100.00 + GH¢26062.23

Total amount = GH¢40162.23

Therefore, the man received a total of GH¢40162.23 at the end of 7 years.

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The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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Answer:

Step-by-step explanation:

It's 6n+750= $, so it's A.)

The lateral surface area of the cylinder is 51.22 cm2.

Surface area is a two-dimensional measure that refers to the total area of a surface, such as the area of a two-dimensional shape, a three-dimensional solid, or a combination of both. It is the sum of the areas of all the faces of a solid object. It is also referred to as the area of the boundary of a three-dimensional object. It can be used to calculate the volume of an object, and is also used in other calculations like area of the base of a triangle, area of a circle, and more.

The cylinder shown below has a diameter of 5.2 cm on the base and a height of 7.1 cm. The diameter of the base is referred to as 'd' and the height of the cylinder is referred to as 'h'. The lateral surface area of the cylinder can be found by using the formula LSA = 2πrh, where 'r' is the radius of the base.

The radius of the base of this cylinder is half of the diameter, or 2.6 cm. Therefore, the lateral surface area of the cylinder is: 2π x 2.6 x 7.1 = 51.22 cm2.

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Answer:

The 16 ounce bottle is the cheapest costing only .15 cents per ounces wile the 12 ounce bottle costs .16 cents and ounce.

Step-by-step explanation:

Answer:

\(A=502.4\ \text{inches}^2\)

Step-by-step explanation:

The radius of the ball, r = 2 inches

We need to find how many square inches of plastic does the company  need to make 10 beach balls.

Let A be the area of 1 ball. Balls are in the form of spheres. The area of a sphere is given by :

\(A=4\pi r^2\)

For 10 balls,

\(A=10\times 4\pi r^2\\\\=10\times 4 \times 3.14\times (2)^2\\\\=502.4\ \text{inches}^2\)

Hence, the area of 10 beach balls is \(502.4\ \text{inches}^2\).

Step-by-step explanation:

Because straight lines (that are not the 'same line') can have at most, only one point of intersection...the unique solution.

Answer:

no it not have a unique solution.

The area of the figure is 17 sq. yd.

Any type of figure that can be divided into two or more other figures is said to be a composite figure. Thus its area can be determined as the sum of the areas of the figures produced.

The given figure in the question can be divided into two rectangles, such that;

area of the first rectangle = length * width

                                          = 5*3

                                         = 15 sq. yd.

The area of the second rectangle = length *width

                                               = 2*1

                                              = 2sq. yd.

The area of the figure = 15 + 2

                                    = 17 sq. yd.

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