8%
Area of a circle
Find the area of a circle with a radius of 8.
Either enter an exact answer in terms of me or use
3.14 for n and enter your answer as a decimal.
units

The correct statement regarding the transformation is given as follows:

Dilation bu a scale factor of 0.5 about the origin. Then reflect over the x-axis.

The true statements about the dilation are given as follows:

A dilation can be defined as a transformation that multiplies the distance between every point in an object and a fixed point, called the center of dilation, by a constant factor called the scale factor.

For this problem, the coordinates of the dilated line segment are half the coordinates of the original line segment, hence the scale factor is given as follows:

k = 0.5.

The y-coordinate then has the signal exchange, hence the figure is also reflected over the x-axis.

More can be learned about dilation at brainly.com/question/3457976

#SPJ1

Answer:

9 trucks/hour

Step-by-step explanation:

If he loaded 9 trucks in one hour, his loading speed is 9 trucks per hour.

Answer:

Where is the diagram?

Step-by-step explanation:

Answer:

OC and OE are apposite rays so the Answer is yes

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.

Answer:

S = 8

Each side of a face is 8 units.

Step-by-step explanation:

The surface area of the cube is 384 units.

One face of the cube has an area of s^2

A cube has 6 faces

6s^2 = 384                                 Divide by 6

s^2 = 384 / 6

s^2 = 64                                     Take the square root of both sides

sqrt(s^2) = sqrt(64)

s = 8

Answer:

8 units

Step-by-step explanation:

Area of 1 side = 384 ÷ 6 = 64 sq units

Length of 1 side = sq.rt. (64) = 8 units Answer

Answer:

Group the like terms together:

4x²y + 6x²y + 12z² - 2z

Simplify:

10x²y + 12z² - 2z

The simplified expression is 10x²y + 12z² - 2z.

Step-by-step explanation:

Answer:

The simplified expression is 10x²y + 12z² - 2z

Step-by-step explanation:

To simplify the expression, we combine like terms, which are terms that have the same variables raised to the same powers. In this case, we have two terms with the variable 4x²y and two terms with the variable -2z. We can combine these like terms by adding their coefficients:

4x²y + 6x²y = 10x²y

-2z + (-2z) = -4z

So the expression simplifies to:

10x²y + 12z² - 4z

We can further simplify this expression by combining the terms with the variable z:

12z² - 4z = 4z(3z - 1)

Therefore, the final simplified expression is:

10x²y + 4z(3z - 1)

We can also write this expression as:

10x²y + 12z² - 2z

which is the answer provided.

Answer:

13/6

Step-by-step explanation:

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

Answer:

7.4 < h

Step-by-step explanation:

89 < 12h

Divided both sides by 12

7.4 < h

The answer is:

Work/explanation:

The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.

So I divide each side by 12

\(\bf{7.417 < h}\)

The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

Learn more about linear equations here: https://brainly.com/question/28732353

#SPJ1

A view which Felix can use to construct the same figure include the following: A. a bottom row of 6 cubes, second row of 3 cubes, and top row of 1 cube.

In Mathematics and Geometry, an isometric sketch is sometimes referred to as an isometric drawing and it can be defined as a graphical (pictorial) representation of a physical object or geometric shape in technical and engineering drawings, especially by drawing all its three dimensions (3D) at full scale;

In this context, we can reasonably infer and logically deduce that the front view is a view which Felix can use to construct the same three-dimensional figure because its orientation influences the other views.

Read more on front view and dimensions here: https://brainly.com/question/29242295

#SPJ1

The net area of the paper needed is 4.125 square feet.

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.

Therefore the total surface area is,

= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).

= 2(0.75 + 1.125 + 0.375).

= 2(2.25).

= 4.5 square feet.

Now, She left one of the bases uncovered which have an area of 0.375 square feet.

Therefore, the net amount of paper needed is = 4.5 - 0.375.

= 4.125 square feet.

learn more about cuboids here :

https://brainly.com/question/29568631

#SPJ1

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

Answer:

The answer is C

Step-by-step explanation:

c.  8√(2^4 )

given 2^(4/8)  can be written as 2^(4×1/8)  

eg: 2^(1/2) is √2 hence same rule we can apply here and since 2^(1/8) we can write as 8√2 and given 2^4

further knowledge: so if asked to expand more we can write it as 8√16 simplifying this further we get 2^(1/2) which is actually √2

for more on square roots: https://brainly.com/question/29286039

Answer:

-by-step explanation:

The result:

1. 1 3/4 = 7/

4

= 1 3/

4

= 1.75

2. is 4

Answer:

-0.33333333333 in other word it o.3 with line over 3

Step-by-step explanation:

The statement is false, as it is possible for three vectors to not span Rn but still lie on the same plane, such as the three vectors (1,1,1), (2,2,2), and (3,3,3), which all lie on a plane that passes through the origin.

(a) In order for three vectors un, U2, U3 to span Rn, all possible values of n must be 3 or greater. This is because three vectors can only span a 3-dimensional space or higher. Therefore, any n greater than or equal to 3 will work.

(b) Since {u, uy, u3} is a spanning set for Rn, then {u, u, + u2, u, -u3} is also a spanning set for Rn. This is because adding or subtracting any of the vectors in the original set will still form a set of three vectors that span Rn.

(c) This statement is always true. If three vectors ui, uy, u3 are linearly independent, then any linear combination of those three vectors (such as u,, u, + u2, u, -u3) will also be linearly independent.

(d) This statement is also always true. If three vectors ui, uy, u3 are linearly independent, then any linear combination of those three vectors (such as u,, u, + u2, u, -u3) will also be linearly independent.

(e) This statement is false. It is possible for three vectors ui, uy, u3 to not span Rn but still lie on the same plane. For example, the three vectors (1,1,1), (2,2,2), and (3,3,3) do not span R3, but they all lie on the same plane that passes through the origin (x+y+z=0).

The statement is false, as it is possible for three vectors to not span Rn but still lie on the same plane, such as the three vectors (1,1,1), (2,2,2), and (3,3,3), which all lie on a plane that passes through the origin.

Learn more about linear combination here:

https://brainly.com/question/26584782

#SPJ4

The true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.

It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.

To get to the current positioning, a rotation might not be sufficient.

It could be required to include a fictitious translation known as the object's location (or position, or linear position).

Together, the position and orientation completely explain where the object is situated in space.

Therefore, the true statements are:

(B) Both figures are congurent.

(C) The two figures have the same orientation but different positions.

(E) Corresponding angles and sides have the same measures.

Know more about orientation here:

https://brainly.com/question/3520971

#SPJ1

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

for such more questions on rational

https://brainly.com/question/30339525

#SPJ8

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

For more such questions on empty set

https://brainly.com/question/1363314

#SPJ8

Answer:

Step-by-step explanation:

Write the number as \(abc\) and use the divisibility rules for 10 and 3. From the rule for 10, we know that the last digit of \(abc+cba\) is \(o\), hence \(a+c=10\). Thus the options are \(a=1\) & \(c=9\), \(a=2\), & \(c=8\), etc.

From the rule for 3, namely that the digit sum must be divisible by 3, we find that \(2a+2b+2c=20+2b\)  is divisible by \(3\). By hand it's easy to check that \(b=2,5,8\) are the only options that work.

So there are 9 choices for \(a\) and \(c\) and \(3\) for \(b\) , giving 27 total.

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

To know more about line, visit:

https://brainly.com/question/30003330

#SPJ1

Answer:

C) y = -4x - 1

Step-by-step explanation:

C is the answer because the slope is -4 and the y-intercept is -1

Answer:

X Z Y

Step-by-step explanation:

The first Question is X

The second Question is Z

The third question is Y

Answer:

Q1: X

Q2: Z

Q3: Y

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. j

2. k

3. L

4. Lj

5. kL

6. jk

Answer:

\(m = \frac{13.0 - 11.2}{14 - 4} = \frac{1.8}{10} = \frac{9}{50} \)

\(13 = \frac{9}{50} (14) + b\)

\( \frac{650}{50} = \frac{126}{50} + b\)

\(b = \frac{524}{50} \)

\(y = \frac{9}{50} x + \frac{524}{50} \)