#12
The length of a line segment is 5 inches.
Enter a number in each box to correctly complete each sentence.

If the line segment is reflected across a line, the length of the image will be

#12The Length Of A Line Segment Is 5 Inches. Enter A Number In Each Box To Correctly Complete Each Sentence.If

Answers

Answer 1

If the line segment is reflected across a line, the length of the image will be 5 inches.

If the line segment is translated 2 inches to the right, the length of the image will be 5 inches.

If the line segment is rotated 90° around one of the endpoints, the length of the image will be 5 inches.

What is a transformation?

In Mathematics and Geometry, a transformation refers to the movement of an end point from its initial position (pre-image) to a new location (image). This ultimately implies that, when a geometric figure or object is transformed, all of its points would also be transformed.

Generally speaking, there are three (3) main types of rigid transformation and these include the following:

TranslationsReflectionsRotations.

In conclusion, rigid transformations are movement of geometric figures where the size (length or dimensions) and shape does not change because they are preserved and have congruent preimages and images.

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Related Questions

IS ANYONE ABLE TO HELP ME PLEASE ASAP

Answers

Answer:

36

Step-by-step explanation:

To answer this question, we need to first understand the notation (f · x)(-2). This is a composite function, and another way to write this is f(g(-2)). This means that we have to find g(-2) and apply the function f to whatever this value is. Let's start by finding g(-2):

[tex]g(x)=x-2\\g(-2)=-2-2\\g(-2)=-4[/tex]

Now that we know g(-2) is -4, we can apply this to f:

[tex]f(x)=x^2-4x+4\\f(-4)=(-4)^2-4(-4)+4\\f(-4)=16-(-16)+4\\f(-4)=16+16+4\\f(-4)=36[/tex]

Therefore, our answer is 36

A shipment of 60 highly sensitive accelerometers is to be accepted or rejected based on the testing of 5 chosen randomly from the lot. The shipment will be rejected if more than 1 of the 5 fail. It is known that 10% of the shipment does not meet the specifications. Let X denote the number of units that fail.

Answers

The value of X that number of unit fails are 1/12.

According to the statement

we have a given that the there is a shipment of 60 highly sensitive accelerometer. And there is a testing of randomly 5 accelerometers.

And we have to find that the how much units that fails in the specifications.

So,

We find the value of X by use of Probability.

The probability that unit fails = number of units that chosen randomly / total units.

So, substitute the values in it then

The probability that unit fails = 5 / 60

The probability that unit fails = 1 / 12.

The probability that unit fails from 60 accelemoters  is 1 / 12.

So, The value of X that number of unit fails are 1/12.

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Solve the congruence 3x=2(mod4)

Answers

Answer:

Step-by-step explanation:

jello :

3x=2(mod4)

multiply by ; 5

5×3x=5×2(mod4)

15x=10(mod4)

but : 15= -1 (mod4)   and 10= 2 (mod4)

-x=2 (mod4)

now multiply by ; -1 you have :  x= -2 (mod4)

-2=2(mod4)

conclusion : x=2 (mod4)  means : x=4k+2   k in Z

Find the volume of the prism. Round to the nearest tenth if necessary.

Answers

Answer:

27.2

Step-by-step explanation:

V = (1/2)(2.6)(5.1)(4.1), which is 27.2 to the nearest tenth

HELP! 10 POINTS+Braniest

Answers

When the son is 8, the father is five times that so 8*5 = 40, difference between their ages is 32

twice as old 32*2 = 64

The father will be 64.

Write the following inverse proportion: y is inversely proportional to x, when y = 5 and x = 8.

Answers

The inverse proportionality expression is y =40/x

Inverse proportion

If the variable y is inversely proportional to x, this is expressed as;

y = k/x

where

k is the constant of proportionality

If y = 5 and x = 8. then;

5 = k/8

k = 5 * 8

k = 40

Determine the inverse proportionality

Recall that y = k/x

y = 40/x

Hence the inverse proportionality expression is y =40/x

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Can someone help me with these problems having trouble and show work please !!

Answers

Answer:

(2x-5)(2x-5), 81 meters

Step-by-step explanation:

All of the sides of a square are equal, so to find the area we need to multiply 2x-5 by 2x-5: (2x-5)(2x-5)

Using this equation we can plug in 7 for x:

(2(7)-5)(2(7)-5) =

(14-5)(14-5) =

9*9 = 81

Consider the three functions:

f(x) = Three-halves(4)x g(x) = Three-halves(4)–x h(x) = –Three-halves(4)x

Which statements are true about the domain and range of f(x), g(x), and h(x)? Check all that apply.

f(x) has a domain of all real numbers.
g(x) has a range of y < 0.
h(x) has a range of y > 0.
g(x) has a domain of all real numbers.
h(x) has a domain of x > 0.

Answers

The statements that are true about the domain and range of the functions f(x), g(x), and h(x) include:

f(x) has a domain of all real numbers.g(x) has a domain of all real numbers.

What is a function?

It should be noted that a function simply means a relation between a set of inputs to a set of possible outputs.

In this case, f(x) has a domain of all real numbers as well as g(x) which also has a domain of all real numbers.

In conclusion, the correct options are A and D.

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Answer:

A and D

Step-by-step explanation:

Edge 2022

a triangle has two sides of length 2 and 5 and that the angle between these two sides is 60 degrees, what is the length of the third side of the triangle

Answers

The length of the third side of the triangle is 4. 33

How to determine the side

We have the length of the two sides to be;

2 and 5

If the angle between them is 60 degrees, then the third side is the opposite side

To find the opposite side, we use the sin ratio, which is

sin 60 = opposite/hypotenuse

sin 60 = x/ 5

Cross multiply

sin 60 × 5 = x

x = 0. 8660 × 5

x = 4. 33

Thus, the length of the third side of the triangle is 4. 33

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Circle S is shown. Line segment R T is a diameter. The length of S T is 4. Sector R S T is shaded.

The measure of central angle RST is radians.

What is the area of the shaded sector?
4Pi units squared
8Pi units squared
16Pi units squared
20Pi units squared

Answers

The area of the sector in radians is calculated as: B. 8π units squared.

What is the Area of a Shaded Sector?

The area of a sector where the central angle of the sector that is shaded in a circle is given in radians is calculated using the formula that is expressed as:

Area of sector = (1/2) × r²θ; where we have:

θ = the angle subtended at the center/central angle measure in radians

r = the radius of the circle

Given the following:

The shaded area is half of the circle. Its measure would be 180 degrees which when expressed in radians would be π.

Central angle measure in radians (θ) = π

Radius (r) = 4 units

Plug in the values into the area of sector formula

Area of sector = (1/2) × r²θ = (1/2) × (4²)(π)

Area of sector = (1/2) × (16)(π)

Area of sector = (1 × 16 × π)(2)

Area of sector = (16π)(2)

Area of sector = 8π units squared

In conclusion, the area of the shaded sector in the image given below is calculated as: B. 8π units squared.

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9. shyam travelled 8 km 52 m by bus, 2 km 265 m by car. how much distance did he travel in all

Answers

Shyam travel total  [tex]10km 317m[/tex]  distance ,when he travelled  [tex]8 km 52 m[/tex]  by bus and [tex]2 km 265 m[/tex]  by car .

How to find the total distance travel by Shyam ?

Shyam travelled distance by bus [tex]=8 km 52 m[/tex]

Shyam travelled distance by car [tex]=2 km 265 m[/tex]

Total distance travelled by shyam is

Total distance= distance travelled by car + distance travelled by bus

Total distance

[tex]=2 km 265 m+8 km 52 m\\=(2+8)km(265+52)m\\=10km317m[/tex]

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the accompanying diagram shows a kit that has been secured to skate in the ground with a 20-foot string. the kit is located 12 feet from the ground, directly over point X. what is the distance, in feet, between the skate and point X.

Answers

The distance between the skate and point X is 16 feet

Given that the distance between point X and kite is 12 feet

and the distance between stake and kite is 20 feet

We need to find the distance between the stake and point X

Here,

Perpendicular = 12 feet

Hypotenuse = 20 feet

Base = ?

According to Pythagoras Theorem

(Hypotenuse)² =  (Perpendicular)²+(Base)²

(20)² = (12)² + (Base)²

∴ (Base)² = 400 - 144

∴ (Base)² = 256

∴ Base = 16 feet

Hence the distance between the Point X and the stake is 16 feet

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Estimate the product 5.25 × 8.89.

Answers

Answer:

47.25

Step-by-step explanation:

8.89 is about 9.

So, we have 9(5.25)=9(5)+9(0.25)=45+2.25=47.25

Fill in the coefficients for the polynomial with degree 3, roots: x = 2, X =
-1, and x = 3, and with a leading coefficient of 1

Answers

The coefficients for the polynomial with degree 3, roots: x = 2, x =

-1, and x = 3, and with a leading coefficient of 1 is given as -4 and 6. Hence, the polynomial turns out as x³ + (-4)x² + x + 6.

It is given that the polynomial is of degree 3 and its roots are,

x = 2

x = -1

x = 3

Thus, the factors of the polynomial would be,

(x - 2), (x + 1), and (x - 3)

The polynomial an be written in terms of its factors, with a leading coefficient of 1, as follows,

(x - 2)(x + 1)(x - 3)

= (x² -2x + x -2)(x - 3)

= (x² -x -2)(x - 3)

= x³ - 3x² - x² + 3x - 2x + 6

= x³ - 4x² + x + 6

= x³ + (-4)x² + x + 6

Hence, the required coefficients of the polynomial are, (-4) and 6.

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Im one paragraph, summarize the purpose of the graphic and its key findings

Answers

The purpose of the graphic is to show the relationship between different educational qualifications and unemployment rate.

What is Unemployment?

This is a situation in which employable individuals look for jobs and are unable to find one.

The key findings in this graphic is that the higher the level of education, the lesser the unemployment rate.

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Machine A produces 300 bolts less than three times the number machine B produces. If
machine A produces 4,800 bolts, then how many does machine B produce?

Answers

Step-by-step explanation:

what is the best definition of luminous

12. The average bowling score of the 5-member in Regional High School bowling team is 128. If all the members of the team get the same score except for one, who bowls a 160, what is the score of the rest of the players? (A) 32 (B) 96 (C) 120 (D) 144​

Answers

Answer:

C

Step-by-step explanation:

The average is the total of the scores divided by 5.  

128 x 5 Gives us the total scores of 640.  I know that one bowler had a score of 160.  I will subtract that from the total of 640.  640-160 = 480.  Since the 4 bowlers left, all had the same score, I will divide 480 by 4 to get 120

If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x − 14 B. g(x) = -3x − 14 C. g(x) = 3x + 14 D. g(x) = -3x + 14If function g is defined by the equation y − 3x = -14, which equation represents the function in function notation? A. g(x) = 3x − 14 B. g(x) = -3x − 14 C. g(x) = 3x + 14 D. g(x) = -3x + 14

Answers

The following equation represents the function g in function notation,

g(x) = 3x - 14 [Option (A)]

Definition of a Function

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. A function, in general, represents the idealized relationship between two changing quantities.

Given equation is,

y -3x = -14

⇒ y = -14 + 3x

or y = 3x - 14

Here, y stands for or represents the function g(x) which is a function of independent variable x.

Thus, the correct function notation is as follows,

g(x) = 3x - 14

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Questions, are all in picture, please solve

Answers

The function represents a cosine graph with axis at y = - 1, period of 6, and amplitude of 2.5.

How to analyze sinusoidal functions

In this question we have a sinusoidal function, of which we are supposed to find the following variables based on given picture:

Equation of the axis - Horizontal that represents the mean of the bounds of the function.Period - Horizontal distance needed between two maxima or two minima.Amplitude - Mean of the difference of the bounds of the function.Type of sinusoidal function - The function represents either a sine or a cosine if and only if trigonometric function is continuous and bounded between - 1 and 1.

Then, we have the following results:

Equation of the axis: y = - 1Period: 6Amplitude: 2.5The graph may be represented by a cosine with no angular phase and a sine with angular phase, based on the following trigonometric expression:

cos θ = sin (θ + π/2)

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The side lengths of a triangle are 9, 12, and 15. Is this a right triang
O A. Yes, because 9² + 12² > 15².
O B. No, because 9 + 12 ‡ 15.
OC. Yes, because 9² + 12² = 15².
OD. No, because 9² + 12² # 15².

Answers

The side lengths of a triangle are 9, 12, and 15. Is this a right triang
O A. Yes, because 9² + 12² > 15².
O B. No, because 9 + 12 ‡ 15.
OC. Yes, because 9² + 12² = 15².
OD. No, because 9² + 12² # 15².

Answer is the A

If the hypotenuse of a right triangle is 2 [tex]\sqrt{3}[/tex] units long and one of the legs is [tex]\sqrt{3}[/tex] units long, then how long is the other leg?


[tex]\sqrt{3}[/tex]

2[tex]\sqrt{3}[/tex]

3

Answers

Answer:

3

Step-by-step explanation:

a = the other leg:

[tex]a^{2} =(2\sqrt{3} )^{2} -(\sqrt{3}) ^{2} =(4)(3)-3=12-3[/tex]

[tex]a^{2} =9[/tex]

[tex]a=\sqrt{9}[/tex]

[tex]a=3[/tex]

Hope this helps

How does the volume of a cylinder with a radius of 4 units and a height of 12 units compare to the volume of a rectangular prism with dimensions 8 units x 8 units x 6 units

Answers

Answer:

The volume of the cylinder is smaller than the rectangular prism.

Step-by-step explanation:

The minimum point on the graph of the equation y=f(x) is (−1,−3). What is the minimum point on the graph of the equation y=f(x−5)? A. (4,−3) B. (−1,−8) C. (−1,−3) D. (−7,−3)

Answers

Answer:

(4, -3)

Step-by-step explanation:

y = f(x -5) means y = f(x) shifted 5 units to the right. So the minimum point would shift 5 units to the right as well.

Can someone help me with these problems please!

Answers

Answer:

I have just wrote answers

If 5/6 is 180, what is 1/6?
(please explain as well)

Answers

Divide your numerator by your denominator to get your answer

Answer: 36

Step-by-step explanation:

If 5/6 = 180

lets find what 1/6 equals

To do this lets divide 180 by 5 to find 1/6

[tex]\frac{180}{5} =36[/tex]

Therefore, 1/6 = 36


We know 180/5 will give us the answer because 180 is already 5/6 of the total; dividing by 5 will give us 1/6 of the total. Ex: if we had 4/6 of the total, we would divide by 4 to find 1/6.

Anyways, we can check our answer by doing:

36*5 = 216 then taking 5/6 of 216, which should equal 180

[tex]216*\frac{5}{6} =180[/tex]

Therefore, we know 36 is the correct answer

What is the slope of the line that passes through the points ( 8 , − 6 ) (8,−6) and ( 8 , − 9 ) (8,−9)? Write your answer in simplest form

Answers

As slope is undefined, then the slope of the line is parallel to the x axis.

How to determine the slope of a line

In this problem we have a line that passes through two points, the slope is determined by definition of secant line:

m = [- 9 - (- 6)]/(8 - 8)

m = - 3/0

As slope is undefined, then the slope of the line is parallel to the x axis.

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The volume of a certain right circular cone is 30 cubic inches. What is the volume, in cubic inches, of a second right circular cone with half the radius and twice the height of the first cone

Answers

Answer:

V = 15 in.³

Step-by-step explanation:

The original cylinder has radius r and height h.

V = πr²h

Its volume is 30 in.³, so

πr²h = 30 in.³

The new cylinder has radius (1/2)r and height 2h.

Its volume is

V = π(r/2)²(2h)

V = πr² × 2h/4

V = πr²h/2

πr²h is the volume of the original cylinder, and it is 30 in.³.

V = 30 in.³/2

V = 15 in.³

If im trying to get 20 million dollars and i get 300$ per second how long will it take to reach my goal

Answers

Answer:

66666.66 seconds, or 1111.12 minutes

Step-by-step explanation:

Since you are earning 300 dollars per second, and you want to earn 20 million, or 20000000 dollars, you can divide 20 million by 300 to get the time it takes to reach your goal in terms of seconds:

[tex]\frac{20000000}{300}=66666.66[/tex] seconds

It will take you approximately 66667 seconds to reach your goal. If we divide by 60 to get this in terms of minutes, we get that it takes about 1111.12 minutes

Answer:

66.666.6 seconds

1,111.11 minutes

18.518518518499999 hours

Step-by-step explanation:

20,000,000÷300

=66,666.6666666

Change in minutes= 66,666.6666666÷60 =1,111.1111111

Change in hours= 1,111.11111111÷60=18.518518518499999

A prism with a heart-shaped base is sliced parallel to the base. What shape is formed?

Answers

The shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be heart-shaped.

A prism is a polyhedron made up of n parallelogram faces that connect the n-sided polygon base, the second base, which is a translated duplicate of the first base, and the n faces. The bases are translated into all cross-sections that are parallel to them.

In the question, we are informed that a prism with a heart-shaped base is sliced parallel to the base.

We are asked what shape is formed.

From the above discussion, we know that the bases are translated into all cross-sections that are parallel to them, that is, all cross-sections parallel to the base, will be congruent to the base.

Thus, the shape formed, when a prism with a heart-shaped base is sliced parallel to the base, will be congruent to its base. Hence, it will also be heart-shaped.

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Answer:

Step-by-step explanation:

Heart Shaped

Circadian rhythms are biological processes that oscillate with a period of approximately 24 hours. That is, a circadian rhythm is an internal daily biological clock. Blood pressure appears to follow such a rhythm. For a certain individual the average resting blood pressure varies from a maximum of 100 mmHg at 2:00 P.M. to a minimum of 80 mmHg at 2:00 A.M.
Find a sine function of the form f(t) = a sin(ω(t − c)) + b
that models the blood pressure at time t, measured in hours from midnight.

Answers

The equation becomes of the pressure is   P = 90 + 10 sin(π/36(t +4 ))

By observation the sine function should be of form P=  90 + 10 sin(ω(t − c)) as it oscillates about 90 and with a factor of 10. Let time be represented by the variable t in hours from 12.00 AM.

At 2:00 P.M. that is t= 14 hours the pressure is 100 mmHg

Substituting it in the equation we get,

100 = 90 + 10 sin(ω(t − c))

10 = 10  sin(ω(14 − c))

1 = sin(ω(14 − c))

ω(14 − c) = π/2                           -1)

At 2:00 A.M. that is t= 2 hours the pressure is 80 mmHg

80 = 90 + 10 sin(ω(t − c))

-10 = 10 sin(ω(2 − c))

3π/2 = ω(2 − c)                           -2)

dividing 2) with 1) we get

3 = (14 − c) /(2 − c)  

6 - 3c = 14 - c

2c = -8

c = - 4

Substituting the value of c in 1) we get,

ω(14 − (-4)) = π/2

ω18 =  π/2

ω = π/36

Thus the equation becomes  P = 90 + 10 sin(π/36(t +4 ))

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Solomon Ski Company manufactures snow skis. During the most recent accounting period, the companys finishing department transferred 4,150 sets of skis to finished goods. At the end of the accounting period, 480 sets of skis were estimated to be 50 percent complete. Total product costs for the finishing department amounted to $285,350.RequiredDetermine the cost per equivalent.Determine the cost of the goods transferred out of the finishing department.Determine the cost of the finishing departments ending work in process inventory. If the speed of a fluid in a pipe of a Cross-sectional area 100 cm is 30ms, what will be it's speed in a pipe of radius 10cm connected to the other end. Air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below. In this function, Po is the air pressure at the surface of the Earth, and h is the height above the surface of the Earth, measured in meters. Which expression best represents the air pressure at an altitude of 3,000 meters above the surface of the Earth A rectangle has a width of 2.45 feet and a length of 6.5 feet. how will the area of the rectangle change if each side is increased by a factor of 5? the area will be one-fifth the original. the area will be startfraction 1 over 25 endfraction the original. the area will be 25 times the original. the area will be 5 times the original. 13) The principal and secretary........... highly impressed with overall progress of the students. a) were c) are b) was d) is how lack of planning can affect getting the job done as a hospitality supervisor? Your 5-year-old niece loves to pretend she is a scientist. she also enjoys pretending she is a horse trainer. these pretend games allow children to:________. Which of these rights from the First Amendment guarantees the right of individuals to become a part of interest groups Please look at the picture, I need help ASAP. Write the trig form of the complex number 18i Determine a limit for a piecewise function Lines b and c are parallel. What is the measure of angle 6 When passing a trolley, you must pass from what side? the left side the right side either side you cannot pass a trolley Can you help with this question? I'm not sure if the black highlighted choice is right PLEASE HELP IM SERIOUSLY STUCK ON THIS Exposing plants to light, heat, and wind caused the rate of transpiration to increase when compared to normal lab conditions because __________ Answer the following questions using a minimum of one complete sentence per question. Include academic thought in your response.What are the elements of enlightenment What are the elements of Romanticism?What are the elements of Transcendentalism? What are the elements of Dark Romanticism?What is your impression of the poem The Raven by Edgar Allen Poe? How does a dog fulfill the three points of the cell theory? PBS The Amazing Human Body: Survive Viewing Guide Answer the following questions as you watch the video. 1. What is the body's number one priority in maintaining homeostasis? 2. The body needs to be at a constant temperature. What are some ways the body does this? 3. Draw the feedback loop that happens when the muscles produce CO2. 4. Describe how infection is a threat to homeostasis. 5. How does the body react to infection? 6. What are some defenses the body has to keep invaders out? 7. Draw infection as a feedback loop. 8. Can we manage pain and if so, how? 9. What is the pain study about? 10. What is the benefit of fear? When do we become fearful in human development? Which industry are entrepreneurs drawn to because the industry offers the highest return on time invested and appeals to the talent and innovation that many small enterprises typify?