A piece of duct measures 48 inches. When pieces are fitted together, 1 72 inches is lost connecting each successive length of duct. On the job 7 and 12 pieces of ducting are used. What, in inches is the total length of the finished duct?

Answers

Answer 1

Answer:

A piece of duct measures 48 inches.

In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)

Then:

If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)

So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:

L = 7*48in - 5*1.72in = 327.4 inches.

for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:

L = 12*48in - 10*1.72in = 558.8 in

Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:

L =  558.8 in +  327.4 in - 1.72in = 884.48 in


Related Questions

explain the triangle angle sum property

Answers

Answer: explanation below

Explanation: The triangle sum property states that a triangle’s angles always add up to 180 degrees. Whether or not the triangle is acute, obtuse, or right, all of its three angles always add up to 180 degrees.

Answer:

The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.

Step-by-step explanation:

What's the largest eight-digit base 2 integer? Express your answer in base 10.

Answers

Answer:

[tex]11111111_{2} =255_{10}[/tex]

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111.

[tex]\begin{array}{rcr}1\times 2^{7} & = & 128\\1\times 2^{6} & = & 64\\1\times 2^{5} & = & 32\\1\times 2^{4} & = & 16\\1\times 2^{3} & = & 8\\1\times 2^{2} & = & 4\\1\times 2^{1} & = & 2\\1\times 2^{0} & = & 1\\\mathbf{11111111_{2}} & = & \mathbf{255_{10}}\\\end{array}[/tex]

Answer:1111111

Step-by-step explanation:

The largest eight-digit base 2 integer is 11111111

In "The Gift of the Magi," O. Henry most likely uses the irony of the couple’s gifts to express the theme thatWhat number should be added to both sides of the equation to complete the square? x2 – 10x = 7

Answers

Answer:

Step-by-step explanation:

To complete the square, divide that 10 in the 10x by 2, then square that answer.

10/2 = 5

5^2 = 25

Add 25 to both sides

PLEASE HELP! ITS DUE TODAAY!

Answers

Answer:

center

Step-by-step explanation:

Can I have a thanks, 5 star, brainliest and tell me if right?

Answer:

The answer is option b

Center.

(: Please answer both questions :)
First person gets 50 points!

Answers

Answer:

1. 1350

2.2700

Step-by-step explanation:

A small container and its lid are shown below.
A rectangular prism has a length of 4 centimeters, width of 8 centimeters, and height of 5 centimeters. A rectangular pyramid has a base of 4 centimeters by 8 centimeters and a height of 2 centimeters.

Which correctly describes the dimensions of the figures that make up the container and its lid?
a rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm
a rectangular prism measuring 2 cm by 4 cm by 8 cm and a rectangular pyramid with the dimensions of 4 cm by 5 cm by 8 cm
a rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 5 cm by 8 cm
a rectangular prism measuring 2 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 4 cm by 5 cm by 8 cm

Answers

Answer:

A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer

Answer:

A rectangular prism measuring 4 cm by 5 cm by 8 cm and a rectangular pyramid with the dimensions of 2 cm by 4 cm by 8 cm ⇒ 1st answer

Step-by-step explanation:

* Lets explain how to solve the problem

- The container is shaped a rectangular prism

- Its base is a rectangle of dimensions 4 cm by 8 cm

- Its height is 5 cm

- The lid of the container is shaped a rectangular pyramid

- Its base is a rectangle with the same dimension of the base of the

container 4 cm by 8 cm

- Its height is 2 cm

* Lets solve the problem

∵ The container is shaped rectangular prism

∵ The base of the container is a rectangle with dimensions 4 cm

 by 8 cm

∵ The height of the container is 5 cm

∵ The led of the container is shaped a rectangular pyramid

∵ The base of the lid of the container is a rectangle with dimensions

 4 cm by 8 cm

∵ The height of the lid is 2

∴ A rectangular prism measuring 4 cm by 5 cm by 8 cm and a

 rectangular pyramid with the dimensions of 2 cm by 4 cm by

 8 cm is the correctly describes the dimensions of the figures

  that make up the container and its lid

question in attachment

Answers

Answer:

The range within 1 standard deviation :155.12 ,328.38

Step-by-step explanation:

Data: 338+160+210+180+166+272+128+409+240+250+160+300+340+200+194+132+202+180+420+380+325+185+233+198

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}[/tex]

[tex]Mean =\frac{338+160+210+180+166+272+.........+233+198}{24}[/tex]

Mean =241.75

[tex]\text{Standard deviation} = \sqrt{\frac{\sum(x-\bar{x})^2}{n-1}}[/tex]

Standard deviation = [tex]\sqrt{\frac{(338-241.75)^{2}+(160-241.75)^{2}+......+(185-241.75)^{2}+(233-241.75)^{2}+(198-241.75)^{2}}{24-1}}[/tex]

Standard deviation =86.63

Range within 1 standard deviation :[tex](\mu-\sigma,\mu+\sigma)[/tex]

Range within 1 standard deviation :(241.75-86.63,241.75+86.63)

Range within 1 standard deviation :155.12 ,328.38

Hence The range within 1 standard deviation :155.12 ,328.38

A pair of equations is shown below: y = 6x − 4 y = 5x − 3 Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points) Part B: What is the solution to the pair of equations? (4 points)

Answers

Answer:

see below

Step-by-step explanation:

A  Since both equations are in slope intercept form, we can plot  the y intercept for each equation and the use the slope to draw lines.  The see where the lines intersect.

y = 6x − 4  slope is 6 , y intercept is (0,-4)

y = 5x − 3   slope is 5  y intercept is (0,-3)

They intersect at (1,2)

Answer:

Part A: solve by graphing the 2 equations and finding the places they intersect, those points will be the solutions. The slope for the first equation is 6 and the slope of the second equation is 5.

Part B: The solution is x=1, or (1, 2)

Step-by-step explanation:

Part A: The solution of a pair of equations can be found graphically by graphing them and finding the intersection point, because that is when they are equal.

To find the slope, it is the coefficient of the x in the equation, so 6 and 5.

Part B: Set the equations equal to each other

(6x-4)=(5x-3)

x-4= -3

x=1

Solve by taking the square foot of both sides.
3(x+3)2 - - 81 = 0
x=-3-3-3 or – 3+3 / 3
b x = -3- 613 01-3+63
a.
c. x = 3-3301 3+33
d x-3-3-301-3+3.3

Answers

Answer:

x = - 12, x = 6

Step-by-step explanation:

Given

(x + 3)² - 81 = 0 ( add 81 to both sides )

(x + 3)² = 81 ( take the square root of both sides )

x + 3 = ± [tex]\sqrt{81}[/tex] = ± 9 ( subtract 3 from both sides )

x = - 3 ± 9

Thus

x = - 3 - 9 = - 12

x = - 3 + 9 = 6

Graph the image of the figure after a dilation with a scale factor of 3 centered at (2, −7). Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

Answers

Answer:

Here's what I get.

Step-by-step explanation:

Assume the figure is like Image 1  below.

We must dilate each point by a scale factor of 3 centred at (2, −7).

1. Determine the transformation rules

Each point moves to three times its original distance from the centre.

Let P = a point on the figure and

let O = the centre of dilation

and L = the distance from the point to the centre. Then

L = P - O

Three times that distance is  

3L = 3P - 3O

We want to find the point P' that is 3L from O, so we add this distance to the coordinates of O.

P' = 3L + O = 3P - 3O + O = 3P + 2O

If P is at (x,y) and O is at (h,k), the transformation rule is

(x,y) ⟶ (3x - 2h, 3y - 2k)

2. Make a table of the new coordinates

[tex]\begin{array}{cclc}\textbf{Point} & \mathbf{(x,y)} &\textbf{Image Coordinates } \mathbf{(3x - 2h, 3y - 2k)}&\mathbf{(x',y')} \\A & (-2,-7) & (-6,-21) -2(2,-7) = (-6 - 4, -21 + 14) & (-10,-7) \\B & (0,-4) & (0,-12) -2(2,-7) = (0 - 4, -12 + 14)& (-4,2) \\C & (3,-3) & (9,-9) -2(2,-7) = (9 - 4, -9 + 14) & (5,5) \\D & (4,-5) & (12,-15) -2(2,-7) = (12 - 4, -15 +14) & (8,-1) \\\end{array}[/tex]

3. Graph the new shape

You should get a graph like Fig. 2.

The rays from Point O pass through corresponding points in the two shapes, so this is a dilation about O.

Point B is two units left of O and three units up.

Also, B' is six units left and nine units up, so the scale factor is three.

 

Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?

Answers

Answer:

Step-by-step explanation:

Starting off we have this information:

Gus has $75 (g = 75).

He can withdraw up to 200 dollars more than he has.

This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.

Anyway, every time he purchases while in overdraft, he loses another $35.

He spends a total of $127 before overdraft fees.

He then gains $25 dollars.

So, for the first interpretation:

75-100-(27+35)+25 = $-62

For the second interpretation:

75-(100+35)-(27+35)+25 = $-97

Hope this helped.

find the slope of the line that passses thruogh 6,10 and 4,5

Answers

Answer:

2.5

Step-by-step explanation:

In the pic below

quesnon
11. What's the circumference of a circle with a radius of 7 in? Round your answer to the nearest inch.
id
O A. 41 in.
B. 14 in.
C. 44 in.
D. 21 in.

Answers

Answer:

C. 44 in.

Step-by-step explanation:

[tex] = 2 \times \pi \times r \\ = 2 \times \frac{22}{7} \times 7 \\ = 44 \: in[/tex]

x^3/x^1/6=x^a value of a in simplest form?

Answers

Answer: a = 17/6

Step-by-step explanation:

I will use two laws of indices to solve this question

1. x^a / x^b = x^(a-b)

2. x^a = x^b, => a = b

Using both laws

x³/x^1/6 = x^a

x^(3-1/6) = x^a

3 - 1/6 = a

a = 3 - 1/6

a = (18 - 1)/6 using LCM

a = 17/6

Which pair of numbers is relatively prime?

Answers

Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

13. Nine less than a number is no more than 8 and is no less than 3.

Answers

Step-by-step explanation:

I think we can choose the number 5 so

9 - 5 = 4 no more than 8 and less than 3

Answer:

[tex]&#x \in [12, 17][/tex]

Step-by-step explanation:

[tex]3 \leq x-9 \leq 8 \\ \\&#3 \leq x-9 \\
3+9 \leq x \\&#12 \leq x[/tex]

[tex]&#x-9 \leq 8 \\&#x \leq 8+9 \\&#x \leq 17 \\&#12 \leq x \leq 17[/tex]

[tex]&#x \in [12, 17][/tex]

Why are some right triangles considered special?

Answers

Special right triangles. A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form a simple ratio, such as 45-45-90. This is called an "angle based" right triangle.

Are these rates equivalent?
25 minutes for 3$
1 hour for 6$

Answers

Answer:

no

Step-by-step explanation:

25 minutes for $3 ends up being $7.20 for 1 hour which is greater than 6.

Answer:

no

Step-by-step explanation:

We can use ratios to see if they are equivalent

25 minutes        60 minutes

---------------- = -------------------

3 dollars           6 dollars

Using cross products

25*6 = 3 * 60

150 = 180

This is not true so they are not equivalent

-5/6+2/6=
What is the answer to this?

Answers

Step-by-step explanation:

Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.

Answer:

-1/2

Step-by-step explanation:

2/6-5/6=

(-(5-2))/6=

-3/6:

-3/3=-1

6/3=2

-3/6=-1/2

A carnival ride is in the shape of a wheel with the radius of 30 feet. The wheel has 30 cars attached to the center of the wheel. What is the central angle, arc length, and area of sector between any two cars? Round answers to the nearest hundredth if applicable. You must show all work and calculations to receive full credit.

Answers

Answer:

α = 12°

L = 6.28 ft

[tex]A = 94.25 ft^2[/tex]

Step-by-step explanation:

The wheel contains 30 cars attached to it.

The wheel is in the shape of a circle and a circle has 360°.

Therefore, the angle between any two cars will be:

360 / 30 = 12°

The length of the arc between two cars is given as:

[tex]L = \frac{\alpha }{360} * 2\pi R[/tex]

where α = central angle of sector

R = radius of circle

Given that the radius of the wheel is 30 feet, the length of the arc is:

[tex]L = \frac{12}{360} * 2 * \pi * 30\\\\L = 6.28 ft[/tex]

The area of a sector is given by:

[tex]A = \frac{\alpha }{360} * \pi R^2[/tex]

Therefore, the area of the sector between any two cars is:

[tex]A = \frac{12}{360} * \pi * 30^2\\\\A = 94.25 ft^2[/tex]

D= 90* AC=17 cm AD=10 cm CD=?cm

please in need help in this

Answers

Answer:

Step-by-step explanation:Idon't say u must have ro mark my ans as brainliest but if u think it has really helped u plz don't forget to thank me....

Answer:

CD=

[tex] \sqrt{189} [/tex]

Step-by-step explanation:

using phaythagorous theorem

CD^2+10^2=17^2

CD^2= 17^2-10^2

CD^2=289-100

CD^2=189

CD=

[tex] \sqrt{189} [/tex]

Find the area of the polygon

Answers

Answer:

154 square units

Step-by-step explanation:

To find the area of a trapezoid, we need to:  [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!

Find the value of x in the triangle shown below.

Answers

Answer:

58

Step-by-step explanation:

since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)

then just use 180 minus the two angles and you will get x

HELP PLEASE
Question 1
The probability that an event will occur is 100%. Which of these best describes the likelihood of the event occurring?

Likely
Certain
Unlikely
Impossible

Question 2
A class has 15 boys and 16 girls. What is the probability that a boy's name is drawn at random?

15 over 31
16 over 31
15 over 16
16 over 15

Question 3
A spinner is divided into sections of equal size, of which some are red, some are blue, and the remaining are green. The probability of the arrow landing on a section colored red is 50%. The probability of the arrow landing on a section colored blue is 10%. What is the probability of the arrow landing on a section colored green?

10%
40%
50%
60%

Question 4
The probability that an event will occur is fraction 1 over 8. Which of these best describes the likelihood of the event occurring?

Likely
Certain
Unlikely
Impossible

Answers

Answer:

1. certain

2.15/31

3.40%

4.unlikely

Carrie and Kenny both play soccer. Kenny scored 3 times as many goals as Carrie. Together they scored 12 goals. Could Carrie have scored 2 goals? Why or why not? Yes, because 2 goals is less than the total number of goals scored. No, because 3(2) + 2 ≠ 12. Yes, because 2 goals is less than the number of goals Kenny scored. No, because 3(2) ≠ 12.

Answers

Answer:

no

Step-by-step explanation:

Answer:     I thinks its D if im wrong sorry

Step-by-step explanation:

Does (3, –8) make the equation y = –x + –5 true?

Answers

Answer:

true

Step-by-step explanation:

y = –x + –5

Substitute the point into the equation

-8 = -3 + -5

-8 = -8

This is true so the point is a solution to the equation

The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?

Answers

Answer: After 9 years, the ticket will be $13.79

Answer:

$13.79

Step-by-step explanation:

FV = PV(1+r/100)^9

A =7.50 (1+ [7/100]) ^9

A = $13.79 per ticket

Please help me with 3 more questions ill give good ratings please!

Answers

Answer:

(- 5, - 25 )

Step-by-step explanation:

Since the dilatation is centred at the origin, multiply the original coordinates by the scale factor, that is

(- 1, - 5 ) → (5(- 1), 5(- 5)) → (- 5, - 25 )

Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?

Answers

Yes, Kevin is correct

Somebody please help me thank

Answers

Answer:

Step-by-step explanation:

[tex]5.003*10^{9}=5,003,000,000[/tex]

5.003* 10⁹ < 5,083,000,000

5.003 x10^9 < 5,083,000,000 x10^-1
Other Questions
Convert from standard form to scientific notation:0.00000013 A)1.3 x 10-7B)13 x 108C)1.3 x 107D)13 x 10-8 Constructive interference occurs when the compression of one wave meetsup with the compression of a second wave.A. TrueB. False A newly hired nurse is being given orientation and training in the hospital by a senior member of the nursing staff. Assigned to a medical -surgical unit the nurse receives instructions on procedures. The nurse is instructed to "push Heparin IV" through a tube in the person's arm. The nurse when being trained in nursing program was instructed not to do so such a thing as it could have serious consequences. When the newly hired questioned the procedure that nurse was told by the senior nurse: "Look that is how we do it here, missy. We are understaffed and do not have the time to do it intravenously. If you want to work here that is how you will do it too." What should the response of the new nurse be to this situation? Why? How would someone respond to this situation using the ethical principles of: (Respond using the principles of the ethical tradition for your group Your group is assigned according the letter that starts your last name) H-L 1. an egoist M-Q 2. a rule utilitarian R- T 3. a Kantian U-Z 4. a Natural Law theorist A-G 5. a Rawlsian? Identify the terms and like terms in the expression.z + 8 - 4z 5, Construct Arguments May bought 12hats. What solid figure do the hats looklike? What attributes help you decide? ASAP ASAP ASAP The successes of the civil rights movement of the 1950s largely left out ASAP!!!!!!! State your view on an ELSI issue, and develop a logical argument to support your view. If you expand and simplify. -(y+2)(y-8) What are the next two numbers in the pattern of numbers; 45, 15, 44, 17, 40, 20, 31, 25, ... David couldnt wait to get off work, for he had an exciting weekend planned. He and his seven-year-old son, Landon, were going on a camping trip. As David drove toward the Greenville suburb where Landon lived with his mother, the guilt gnawed at him. He hated that since the divorce nearly a year ago he had not spent the quality time with Landon that he now wished he had. The two-hour drive to Landons new home only complicated the wish for more frequent visits. David decided he was not going to dwell on the past but instead look to the future. This weekend camping trip was just what they needed.2 When David arrived, Landon met him at the door, grinning like someone whod just won the lottery. An hour later they were setting up camp. Before long, they headed to the creek bank with fishing poles in hand. As they each sat on a five-gallon bucket, few words were spoken, but David knew that old wounds were healing. As Landon reeled in a tiny bream, he looked over at his dad and said, "You know what, Dad? This is the most fun Ive ever had." Even though his throat was tightening in an effort to hold back tears, David managed to say, "Me too, Son. Me, too."From which point of view is the story told?A) Landons B) a friend of David's C) a third-person narrator's D) Landons moms find the constant of proportionality: 84 miles per 4 hours minus A plus 6 a ncert solution class 9 15. Select the graph which correctly displays the function f(x) = |x + 2| 3. Brainliest ? For which inequality is (0,0) a solution? You have a suction cup that creates a circular region of low pressure with a 30 mm diameter. It holds the pressure to 85 % of atmospheric pressure. What "holding force" does the suction cup generate in N Classify the following as an element, compound, homogeneous mixture, or heterogeneous mixture: salt water A. Element B. Compound C. Homogeneous mixtureD. Heterogenous mixture The 6.3 percent, semi-annual coupon bonds of PE Engineers mature in 13 years and have a price quote of 99.2. These bonds have a current yield of ________ percent, a yield to maturity of ________ percent, and an effective annual yield of ________ percent. An employee wants to invest $50,000 in a pension plan. One investment offers 6% compounded quarterly. Another offers 5.75% compounded continuously.(a) Which investment will ear more interest in 5 yr?(b) How much more will the better plan earn? *I WILL MARK YOU BRAINLIEST!!!!* PLEASE HELP ME ITS VERY URGENT