What is the circumference of a circle with a diameter of 4 feet? Use 3.14 for TT.
d=4ft

A rectangular piece of cardbord has 3D dimensions.

Rectangles are enclosed 2-D shapes with four sides, four corners, and four right angles.Equal and parallel opposite sides make up a rectangle.

The rectangle's properties are listed below:

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The angle congruence property illustrated is given as follows:

Symmetric Property of Angle Congruence.

The symmetric property of angle congruence states that if if one geometric shape is congruent to a second shape, than the second shape is also congruent to the first.

The shapes in this problem are given as follows:

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Turning 180° counterclockwise is essentially the same thing as a horizontal flip about the y axis.

That means C will find itself on the opposite side of the x axis, with negative inputs. However, it is still above the x axis, so it will have a positive y coordinate.

Your answer should be (-3,1)

The correct option is SE is 0.04. In statistics, a sample proportion is a statistic that represents the proportion of individuals in a sample who have a particular characteristic or belong to a certain category.

The standard error of the sample proportion can be calculated as follows:

SE = sqrt(p * (1 - p) / n)

Where p is the sample proportion and n is the sample size. In this case, the sample proportion is 0.2, and the sample size is 200. So, plugging these values into the formula, we get:

SE = sqrt(0.2 * (1 - 0.2) / 200)

SE = sqrt(0.16 / 200)

SE = 0.04

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Answer:

102.4 square feet

Step-by-step explanation:

1. divide 32 by 5 to find how much square feet one bag of mulch covers

2. multiply that number (6.4) by 16 to find how many square feet 16 bags of mulch would cover

Answer:102.4 ft

Step-by-step explanation: do the math 32/5 = 6.4 6.4x16=102.4 ft

In a case whereby the distance between Dallas and Houston is about 364 kilometers the approximately measurement is closest to the number of miles between these two towns is A 227.5 miles.

The concept that will be used here is unit conversion. It should be noted that 1 Mile = 1.609344 kilometres.

Then                                 Xmile  = 364 kilometers

We can cross multiply to have

 Xmile  =364 kilometers/1.609344 kilometres.

=226.179

Hence the  closest to the number of miles is A 227.5 miles

Therefore, option A is correct.

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The number when divided by 15, 20, and 30 and the remainder is always 8 will be 68.

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

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The number which is divisible by 15, 20, or 30 will be given as,

LCM of the numbers 15, 20, and 30 will be given as,

2  |    15,       20,       30

2  |    15,        10,       15

3  |    15,         5,       15

5  |     5,          1,        5

          1,          1,         1

LCM = 2 x 2 x 3 x 5

LCM = 60

The number whose remainder is always 8 is given as,

⇒ 60 + 8

⇒ 68

The number when divided by 15, 20, and 30 and the remainder is always 8 will be 68.

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The system is consistent.

A system of equations is said to be consistent when they have atleast one solution in common.

A system of equations has one line with a positive slope and one line with a negative slope

The system has 1 line with a positive slope, so a line that has a positive slope is going to be rising from left to right.

The second line that has a negative slope. So just a line ,it is decreasing. Now a negative slope means the line, falls from left to right or is downward sloping.

If 1 line has a positive slope and 1 line has a negative slope, then at some point those lines are going to intersect, which will be the solution to the system.

Hence, the system is consistent.

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Two paintings in an art display have shapes that are similar figures. the similarity ratio is 9:7 and the perimeter of the smaller painting is 6 meters therefore the perimeter of the larger painting to the nearest tenth is 7.7 meters.

This is referred to as the total distance around a two-dimensional shape.

Perimeter of the smaller painting is 6 meters and similarity ratio is 9:7

9 = x

7 = 6

7x = 54

x = 54/7 = 7.7 meters.

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Answer:

85.71% chance of randomly selecting a student who owns at least one laptop or one desktop

Step-by-step explanation:

Out of a total of 70 students, only 10 own neither a laptop nor a desktop. This means that the probability of selecting a student with at least one of the two is [tex]\frac{60}{70}[/tex] or [tex]\frac{6}{7}[/tex].

If we convert this fraction into a percentage and round to the nearest hundredth, it equals:

85.71%

After solving for the line with slope as -2 and point (3,-2) , the y intercept is  (0,4)  .

We use the Point Slope form of a linear equation to write the equation of a line given its slope and a point on the line.

So , the point slope form is ⇒ y - y₁ = m(x - x₁)  ;

Where m = slope , and (x₁, y₁) = point on line .

So , by using the slope (m = -2) and point (x₁, y₁) = (3, -2),

Substituting  these values and simplifying further ,

We get ; ⇒ y -(-2) = (-2)×(x - 3)  ;

⇒ y + 2 = (-2)×(x) + (-2)×(-3) ;

Subtracting 2 from both sides,

we have ;

⇒ y = -2x + 4

The y intercept of line is value of "y" when x = 0.

So , we substitute x = 0 in the equation of line y = -2x + 4  ;

that means ⇒  y = -2(0) + 4 ;

⇒  y = 4 .

Therefore, the y intercept of the line with slope "-2" and passing through the point (3, -2) is (0, 4).

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You solve it using your brain.

The length of BD in the triangle is 24 units.

The triangles are similar by angle bisector theorem. The angle bisector theorem states that the angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.

Therefore, let's find BD.

Hence, using the proportion,

12  / 20 = x / x + 6

cross multiply

12(x + 6) = 20x

12x + 72 = 20x

72 = 20x - 12x

72 = 8x

divide both sides by 8

x = 72  /8

x = 9

Therefore,

BD = x + x + 6 = 2x + 6

BD = 2(9) + 6

BD = 18 + 6

BD = 24 units

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Answer:

18 cm

Step-by-step explanation:

Let's assume that the length of the stick is x cm.

Then, the lengths of pieces A, B and C would be 2x/10 cm, 3x/10 cm, and 5x/10 cm respectively.

Since C is longer than B by 8 cm, the length of C is 3x/10 + 8 cm, and the length of B is 3x/10 cm.

Therefore, the total length of the stick would be:

x = 2x/10 + 3x/10 + (3x/10 + 8)

x = 10x/10 + 8

x = 10 + 8

x = 18 cm

So, the length of the stick is 18 cm.

Answer: 20 cm

Step-by-step explanation:

create an equation.

2x : 3x : 5x

We are also told C is longer than B by 8 cm. So,

A : x : x+8

If 5x = x+8, solve for this: 4x = 8 so x =2.

Now, we can plug back in the original values.

2(2) + 3(2) + 5(2) = 20.

the stick is 20 centimeters long.

Rectangle A is similar to Rectangle B. The solution has been obtained by using concept of similar quadrilaterals.

What are similar quadrilaterals?

When all three matching angles are the same (the fourth angle automatically becomes the same because the internal angle sum equals 360 degrees) and two neighboring sides have the same ratio, two quadrilaterals are said to be similar.

We are given four rectangles with different dimensions.

First considering Rectangle A and Rectangle B

The dimensions of Rectangle A are 2 × 3 and that of Rectangle B are

8 × 12.

For the triangles to be similar, ratio of sides must be equal.

In this, the ratio is equal as the dimensions of Rectangle B are 4 times the dimensions of Rectangle A.

So, the rectangles are similar.

There is no other pair of rectangle which is similar.

Hence, Rectangle A is similar to Rectangle B.

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Answer: 5/2x-3

Step-by-step explanation: you would subtract 6 from both sides.

5x = 2y + 6

-6            -6

6-6=0 so they would cross out. and you can't subtract 5x from 6 because they aren't like terms. Your new equation would look like 5x-6 = 2y.

Now you need to get the y alone. To do that you need to divide everything by 2 so that the 2y crosses out. 5x-6 = 2y

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

                                                                             2    2    2

I'm trying to visually show it sorry if it looks weird. one you divide everything. (5/2) (-6/2) (2/2) you'll need to clean everything up.

Since you can't simply 5/2 leave it as a fraction. Which makes your answer: 5/2x - 3 = y or y = 5/2x - 3

The height of the tree before it got broken  is given as 72.43 feet

we have

the angle made at 45 degrees

The top touched the ground from 30 feet

we have tan 45 = x / 30

1 = x /30

x = 30

cos 45 = 1 / √2

1 / √2 = 30 / y

y = 30√2

the height = x + y

= 30 + 42.43

= 72.43

The height of the tree before it was broken is 72.43 ft

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The relations that are functions are 2, 3, 4, 5, 6, and 7.

The ones that aren't functions are 1 and 8.

A relationship maps elements from one set (the domain) into elements from another set (the range), and a relation is a function only if each element of the domain is mapped into only one value of tha range.

For example, if you look at the relation 8, you can see that the input x = 1 is mapped into two different outputs, then this is not a function.

With that in mind, the options that are functions are:

2, 3, 4, 5, 6, and 7.

The ones that aren't functions are 1 and 2.

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The length of the hypotenuse is 11.31 cm

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

A right, isosceles triangle has its legs to be 8cm

Represen the length of the hypotenuse of the isosceles right triangle  with x

Using the above definition as a guide, we have the following:

x = Leg√2

substitute the known values in the above equation, so, we have the following representation

x = 8 * √2

This gives

x = 11.31

HEnce, the hypotenuse is 11.31 cm

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Answer:

Step-by-step explanation:

ICA 2023

It takes 1 hour, 20 mins for it to be safe to eat.

How to determine this

If a dish needs to remain at 185°F

And come out at 425°F

So, the difference = 425°F - 185°F

=240°F

If it decreases at 15°F for 5 minutes = 240/15

= 16°F for 5 minutes

= 16 * 5

= 80 minutes

And when converted to hour,

1 hour, 20 mins

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The simplest fraction form of an expression, (- 2/3) - (-1/2) is equals to the -1/6.

A fraction is a number that represents a part of whole. It is expressed as quoitent, in which numerator is divided by denominator. For ex : 3/4 is a fraction, where 3 is numerator and 4 is denominator. We have an expression, (- 2/3) - (-1/2). This expression is substraction of two rational number and both are negative rational numbers. Using sign law of multiplication: - × - = + , i.e., multiplation of two negative numbers result positive number.

=> - 2/3 + 1/2

Both fraction has different denominators. Write as least common multiple of 2 and 3, i.e., LCM(2,3)= 6

=> ( -2 × 2 + 3 )/6

Simplify the expression as possible

=> (- 4 + 3 )/6

=> - 1/6

This is the needed simplified fraction. Hence, The solution in simplest fraction is -1/6.

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The graph showing the line of best fit for the function y = 3x + 1 is attached below

The line of best fit is a line that is used to represent the relationship between two variables in a scatterplot. It is a line that passes through the center of the data points in the scatterplot in such a way that the total distance between the line and the data points is minimized. The line of best fit can be used to make predictions about the value of one variable based on the value of another variable. There are several methods to obtain the line of best fit, including the method of least squares, which finds the line that minimizes the sum of the squares of the differences between the observed values and the values predicted by the line.

In the problem given, the line of best fit the line of best fit can be plotted on a graph using a graphing calculator.

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Answer:

1 -

12 - ?

4 - square root of 16

64 -

16 -

2.828 - square root of 8

Step-by-step explanation:"
I need more terms to match them.

The height is 9 units

V = 763.407015 m

Using the concept of arrangements, 720 days must pass before the class must repeat a seating arrangement

The class has 6 students and 6 desks and students change the seating arrangement each day. We are asked to calculate the number of days that must pass before the class must repeat a seating arrangement.

The number of days that must pass before the class must repeat a seating arrangement is equal to the total number of seating arrangements.

Person one has 6 positions to choose from, person 2 has 5 positions to choose from and so on.

Total number of seating arrangements = 6 × 5 × 4 × 3 × 2 × 1

                                                                 = 720

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Answer: Width = 45 feet; Length = 15 feet;

Step-by-step explanation: Start by substituting 3w for the length because it says that in the problem. We know that 2(L+W) equals the perimeter. Since we substituted 3w for length we get 8w for the perimeter. Divide 120 by 8 to find that the width is 15 feet and plug it into 3w to get the length of 45 feet.

Answer:

45 feet and 15 feet are the length and width

Step-by-step explanation:

P = 120 feet

a (length) = 3 * b (width)

P = 2 * (a + b)

P = 2 * (3b + b)

P = 2 * 4b

P = 8 * b

                           => 8b = 120 feet

P = 120 feet

b = 120 / 8

b = 15 feet

a = 3 * b

a = 3 * 15

a = 45 feet

Answer:

1)10abc^2+6a^2bc

2)6.6x^2yz-2.8xy^2z+0.5xyz^2

Step-by-step explanation: