A company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 3 cm and segment BE = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? Round your answer to the nearest hundredth.

Answers

Answer 1

Answer: 3.66 cm

Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.

The area A of a rectangle is length multiply by width.

Where length L = 3.5 cm and

width W = 3 cm

Area A = 3.5 × 3 = 10.5 cm^2

The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.

But area A = 10.5. Substitute the values for the area of the cylinder

10.5 = πr^2

10.5 = 3.143 × r^2

Make r^2 the subject of formula

r^2 = 10.5/3.143

r = sqrt ( 3.34225 )

r = 1.828

Diameter = 2 × radius

Diameter = 2 × 1.829

Diameter = 3.656 cm

Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.

Answer 2

Answer:

4.24 cm

Step-by-step explanation:

pythagorean theorem

a^2+b^2=C^2

3^2+3^2=18

square root of 18 =4.24

hope this helped :)


Related Questions

PLEASE HELP IM BEHIND AND SCHOOL IS OUT IN 2 DAYS

Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.

Answers

Answer: #1 his school is out

Step-by-step explanation: #2 bcuz all sides equal to 66cm.

Please mark me brainlest.✌✌

Answer:

Yes, they are equilateral because all of the sides have the same length of 5

Step-by-step explanation:

The Triangle has 3 sides and each side measures up to be 5 so its an equilateral triangle

-98 + -5 - 89 + 5 + 7

Answers

Answer:

-180 is your answer.

Step-by-step explanation:

Answer: -180

Step-by-step explanation: I uh, used the calculator app on my phone.

Hitting the baseball over the lights
Meanwhile, at the ballpark, Juan was practicing his hitting while talking to the girls
standing around watching. He started telling them how he hit the ball over the 50 foot
light tower yesterday. The girls were unsure that he really did that.
The formula for this hit is: H(x)=-16x^2+60x+4 where h is the height of the ball and x is the number of seconds the ball is in the air.
How long did the ball actually hang in the air?

Answers

Answer:

Approximately 3.8 seconds

Step-by-step explanation:

H(x)=-16x^2+60x+4

We want to find when the ball hits the ground, or where the zeros are

0 =-16x^2+60x+4

Using the quadratic formula

-b ±sqrt(b^2 -4ac)

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

   2a

-60 ±sqrt(60^2 -4*-16*4)

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

   2(-16)

-60 ±sqrt(3600+256)

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

   -32

-60 ±sqrt(3856)

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

-32

We want the positive value for time

-60-62.09669879

---------------------------    

  -32

3.815521837

Approximately 3.8 seconds

How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x. Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x. Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x. Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Answers

Answer:

D- Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x.

Step-by-step explanation: I did the test. Stay safe and have a good one!

Answer:

what the first person said "D"

Step-by-step explanation:

At what distance did Maria and James run the same amount of time

Answers

The distance was 5MPH

what is the measure of DAB

Answers

Answer: 126

Explanation:
61+65=126
180-126=54
180-54=126
Therefore DAB=126

It's known as exterior angle theorem...The sum of angleB + angle C is equal to angle DAB....

That means 65+61 = 126...

Angle DAB =126

Kayla has $45 and wants to buy three shirts that are originally priced at $18 each. They are on sale for 20% off. After applying 5% tax, does Kayla have enough money to purchase the three shirts

Answers

Answer: No, as the total cost of the 3 shirts w/ sales tax is $45.36 and she only has $45.

Step-by-step explanation:

Start by finding the price of one shirt on sale.

[tex]18*0.2[/tex]

This equals 3.6 which is how much will be deducted from the original price.

One shirt costs [tex]18-3.6\\[/tex] when its 20% off.

This is equal to $14.40.

Since she wants to buy 3 of them we just multiply the $14.40 by 3.

[tex]14.4*3=\\[/tex]

This equals $43.2 but this is without a 5% sales tax which is normally added to the total end price.

To add a sales tax you take the sales tax percent plus 1 and multiply it to the $43.2.

[tex]43.2*1.05=\\[/tex]

This means the total price of Kayla's purchase will be $45.36.

This is over her $45 she has so she can not buy it.

Answer: she does not and is over $45.36 (.36) cents over

Step-by-step explanation:

Help asap plz, dhdbhdhf

Answers

Hi there!

The angle measure of 3 is 140 degrees.

4 and 3 may not be in congruent spots but 4 and 2 are. Remember two of these angles next to each other equal 180 degrees. If 2 is also 40 degrees than 180 - 40 = 140. Alternate angles are equal meaning 3 is 140 degrees.

Hope this helps !

Fill in the blank with the equations for each interval of 5 units listed beside it. Then answer the questions

Answers

Answer:

1) f(-10)

f(x) = x²

f(-10) = (-10)²

f(-10) = 100

2) f(-7)

f(x) = x²

f(-7) = (-7)²

f(-7) = 49

3) f(-5)

f(x) = x³

f(-5) = (-5)³

f(-5) = -125

4) f(-3)

f(x) = x³

f(-3) = (-3)³

f(-3) = -27

5) f(0)

f(x) = √x

f(0) = √0

f(0) = 0

6) f(2)

f(x) = √x

f(2) = √2

f(2) = 1.414

7) f(5)

f(x) = 1/x

f(5) = 1/5

f(5) = 0.2

8) f(7)

f(x) = 1/x

f(7) = 1/7

f(7) = 0.143

9) f(10)

FUNCTION NOT GIVEN. SOLVE LIKE THE ABOVE IF YOU KNOW THE FUNCTION

2 - V19-(-2-4)
[-5-(-7)]2

Answers

Answer:

7

Step-by-step explanation:

1 Simplify  -2-4−2−4  to  -6−6.

2-19-(-6)\times (-5-(-7))\times 22−19−(−6)×(−5−(−7))×2

2 Remove parentheses.

2-19-(-6)\times (-5+7)\times 22−19−(−6)×(−5+7)×2

3 Simplify  -5+7−5+7  to  22.

2-19-(-6)\times 2\times 22−19−(−6)×2×2

4 Simplify  (-6)\times 2\times 2(−6)×2×2  to  -24−24.

2-19-(-24)2−19−(−24)

5 Remove parentheses.

2-19+242−19+24

6 Simplify  2-192−19  to  -17−17.

-17+24−17+24

7 Simplify.

7

Please help!



Finding slope using tables


No need to show ur workk :D


just pls help me and give me a proper answer and u will get brainliest and lots of points im in desparate need plsssssssssssssssss helppppppppppppp

Answers

Answer:

The slope is 4

Step-by-step explanation:

Everytime x goes up by 1, y goes up by 4.

4/1=1

The slope of line is 4.

Therefore,the table represents the slop relationship between the lines....

please see the attached picture for full solution

hope it helps

Event A: lands on yellow.
Event B: lands on green.

Events A and B are a0 events.

Answers

Answer:

1/16

Events A+B are written (P) yellow : 1/4 * (P) green : 1/4

Ao event = (P) 1/4 * 1/4 = 1/16

Step-by-step explanation:

The probability of event A and event B is 1/16.

We have given that,

Event A: lands on yellow.

Event B: lands on green

Events A+B are written  

yellow(P) = 1/4 * (P) green= 1/4

What is the meaning of probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Ao event (P)=1/4 * 1/4

Event = 1/16

Therefore the probability of event A and event B is 1/16.

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

how do i calculate the first quartile and the third quartile???
!!!please help!!!

Answers

Answer: The Median: 78, The First Quartile: 63, and The Third Quartile: 99

Step-by-step explanation: Ok, so let's put the data set from least to greatest....

(63, 63, 76,) (77, 79,) (84, 99, 99)

First Quartile              Third Quartile

First, let's find the median, since you made a little mistake...

77 + 79 = 156

156 ÷ 2 = 78

The median is 78!

Now, let's determine the first quartile and the third quartile.

For the the first quartile/third quartile it'll be the middle number, if it's even we'll do the same extra step just like we'll do for the median. In this case it's not even therefore...

First Quartile: 63

Third Quartile: 99

I hope this helps!

Plz help ASAP will give brainliest!!!

Answers

Answer:

20

Step-by-step explanation:

1.75 x 6 = 10.5

10.5 + 9.5 = 20

Answer:

20 is the answer im 100% sure ask me for a picture if u want my work shown

Step-by-step explanation:

HELP!!!
Solve for x given that CE = 36.
Show your work

Answers

Answer:

x=7

Step-by-step explanation:

CE = 36

CE = 9+(3x+6) = 9+6+3x = 15+3x

36= 15+3x

36-15 = 15-15+3x (removing 15 from left side also means removing 15 from right side)

21 = 3x

x= 21/3 = 7

Answer:

x=7

Step-by-step explanation:

First, I wrote down the equation.

3x+6=36-9

Then, I simplified it.

3x+6=27

Then, I moved the six from the right to the left.

3x=21

After that, I divided both sides by 3.

x=7

Yay! You got your answer!

wiil mark bianleast
Which describes the translation?


7 units to the right and 2 units down

7 units to the right and 2 units up

2 units to the left and 7 units up

7 units to the left and 2 units down

Answers

Answer:

7 units to the right and 2 units up

Step-by-step explanation:

At the party, Aisha and her friends ate 2 \dfrac{1}{2}2 2 1 ​ 2, start fraction, 1, divided by, 2, end fraction pizzas. After the party, there were 1 \dfrac{1}{8}1 8 1 ​ 1, start fraction, 1, divided by, 8, end fraction pizzas left. How many pizzas were there at the start of the party?

Answers

Answer:

[tex]3\dfrac{5}{8}[/tex] pizzas.

Step-by-step explanation:

It is given that Aisha and her friends ate [tex]2\dfrac{1}{2}[/tex] pizzas.

After the party, the remaining pizza is [tex]1\dfrac{1}{8}[/tex] pizzas.

Now,

[tex]2\dfrac{1}{2}=\dfrac{4+1}{2}=\dfrac{5}{2}[/tex]

[tex]1\dfrac{1}{8}=\dfrac{8+1}{8}=\dfrac{9}{8}[/tex]

Pizzas at the starting = Pizza eaten by Aisha and her friends + Remaining pizza

[tex]=\dfrac{5}{2}+\dfrac{9}{8}[/tex]

[tex]=\dfrac{20+9}{8}[/tex]

[tex]=\dfrac{29}{8}[/tex]

[tex]=3\dfrac{5}{8}[/tex]

Therefore, [tex]3\dfrac{5}{8}[/tex] pizzas were there at the start of the party.

Answer:

3 & 5/8

Step-by-step explanation:

i got it right

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

The data below shows the scores of 9 students on a history test...
84,99,77,63,76,87,64,99,79
identify the minimum:
identify the median:
identify the maximum:
!!!please help!!!

Answers

minimum: 63
maximum: 99
median: 79

hope this helps
Minimum is 63
Maximum is 99
Median is 79


Find x in the following right triangle

Answers

a squared + b squared = c squared

576+100=c squared

676=c squared

c squared = 26

hope it helps

A families weekly shopping bill increases from £120 to £150, what is the percentage increase? PLEASE HELP

Answers

Answer:

20%

Step-by-step explanation:

Divided the two which is 80% so the increase is 20% I'm not good at explaining

Answer:

150-120=30

30/120=0.25

0.25=25%

25% is correct

120 x 0.25 = 30

120+ 30 = 150 so 25% is correct

Step-by-step explanation:

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

To find DC

c²=a²+b² (pythagorean theory)

c²=6²+8²

c²=36+64. c²=100. √100. c=10cm

thus D =10.

AD= 15-6=9

To find AC

c²=a²+b²

c²=15²+8²

c²=225+64. c²=289 √289. c=17

AC=17

perimeter is the distance around a figure thus ADC=9+10+17

=36

What are the coordinates of the center of a circle whose equation is (x+1)^2+y^2=100?

Answers

Answer:

The center is (-1,0) and the radius is 10

Step-by-step explanation:

We can write the equation of a circle as

(x-h)^2 + (y-k)^2 = r^2

where the center is (h,k) and the radius is r

(x+1)^2+y^2=100

(x - -1)^2+(y-0)^2=10^2

The center is (-1,0) and the radius is 10

Answer:

radius = 10

center = (- 1, 0)

Step-by-step explanation:

eqn. of the circle = (x - h)^2 + (y - k)^2 = r^2

= (x + 1)^2 + y^2 = 100

(x - (-1))^2 + (y - 0)^2 =10^2

The center is (- 1, 0) and the radius is 10

Hope this helps!

does anybody know the answer to this equation? // * ANSWER ASAP *

Answers

Answer:

radius

Step-by-step explanation:

AJ is half the distance across the circle (radius).

The answer is c, radius.

A radius is half way through and AJ is half way through the circle. Hope I helped :)

How many different pairs of regular polygons can be made with 16 toothpicks? WILL MARK BRAINLIEST 35 POINTS!

Answers

Answer:

6

Step-by-step explanation:

We can make:

A 3 sided shape and a 13 sided shape (3 + 13 = 16)

A 4 sided shape and a 12 sided shape (4 + 12 = 16)

A 5 sided shape and an 11 sided shape

A 6 sided shape and a 10 sided shape

A 7 sided shape and a 9 sided shape

2 8 sided shapes

Therefore the answer is 6.

the shapes which can be made are :triangle (3 sides)square (4 sides)Pentagon (5 sides )hexagon (6 sides )septagon (7 sides )octagon ( 8 sides )nonagon (9 sidesdecagon (11 sides )endecagon (12 sides)dodecagon (13 sides )triskaidecagon (14 sides )and so on....till the polygon with 16 sidesso we can make 13 sides

hope it helped :-)please mark me as brainliest

Find the unknown side of the triangle below (round to the nearest tenth).

A. 18 cm
B. 22.9 cm
C. 26.9 cm
D. 21.2 cm

Please answer this

Answers

[tex]answer = 22.9 \: cm \\ solution \\ hypotenuse = 25 \: cm \\ perpendicular = x \\ base = 10 \: cm \\ now \\ using \: pythagorus \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {p}^{2} = {h}^{2} - {b}^{2} \\ or \: {x}^{2} = {25}^{2} - {10}^{2} \\ or \: {x}^{2} = 625 - 100 \\ or \: {x}^{2} = 525 \\ or \: {x} = \sqrt{525} \\ or \: x = 22.9 \: cm \\ hope \: it \: helps[/tex]

I need help with this last question

Answers

the statement (l4x-2l = -6) is false (no solution) for any value of x because the absolute value function is always positive or 0

For question 25 please pick 1,2,3 or 4

Answers

Answer:

4.

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Step-by-step explanation:

[tex]18x^2-24x+87=0[/tex]

Using Quadratic Formula

[tex]$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-\left(-24\right)\pm \sqrt{\left(-24\right)^2-4\cdot \:18\cdot \:87}}{2\cdot \:18}$[/tex]

Solving the discriminant:

[tex]\Delta = \left(-24\right)^2-4\cdot \:18\cdot \:87\\\Delta = 576-6264\\ \Delta=-5688[/tex]

[tex]$x= \frac{24 \pm \sqrt{-5688} }{36} $[/tex]

[tex]$x= \frac{24 \pm \sqrt{5688i} }{36} $[/tex]

Once [tex]\sqrt{5688} =\sqrt{2^3\cdot \:3^2\cdot \:79}=6\sqrt{158}[/tex]

[tex]$x=\frac{24\pm6\sqrt{158}i}{36}$[/tex]

Dividing the denominator and numerator by 6

[tex]$x=\frac{4\pm \sqrt{158}i}{6}$[/tex]

Now rewrite it:

[tex]$x=\frac{4}{6} \pm i\frac{\sqrt{158}}{6}$[/tex]

[tex]$x=\frac{2}{3} \pm i \frac{\sqrt{158}}{6}$[/tex]

or

[tex]$x=\frac{2}{3} \pm \frac{1}{6}i \sqrt{158}$[/tex]

Which took place in 1853?
O The US made the Gadsden Purchase.
The US received payment from Mexico for Texas.
Mexico won the Mexican-American War.
Mexico paid the US for the Mexican Cession.

Answers

The first choice is the correct answer.

Answer:

The answer is a

Step-by-step explanation:

I hoped i helped

Willie had a lemonade stand.On one day he sold 117 cups of lemonade. If each cup contains 226 milliliters of beverage, how many liters did he sell in all

Answers

Answer:

26.442 litre

Step-by-step explanation:

total beverage sold= 117*226

= 26442ml

in litres= 26442/1000

= 26.442

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Joy Elles Vegetable Market had the following transactions during 2010: Issued $50,000 of par value common stock for cash. Repaid a 6 year note payable in the amount of $22,000. Acquired land by issuing common stock of par value $100,000. Declared and paid a cash dividend of $2,000. Sold a long-term investment (cost $63,000) for cash of $6,000. Acquired an investment in IBM stock for cash of $12,000. What is the net cash provided by financing activities? HELP NOW 3600 dollars is placed in an account with an annual interest of 9% How much will be in the account after 25 years to the nearest cent !! Suppose you buy a CD for $500 that earns 3% APR and is compounded quarterly. The CD matures in 3 years. Assume that if funds are withdrawn before the CD matures, the early withdrawal fee is 3 months' interest. What is the early withdrawal fee on this account? Complete main() to read dates from input, one date per line. Each date's format must be as follows: March 1, 1990. Any date not following that format is incorrect and should be ignored. Use the substring() method to parse the string and extract the date. The input ends with -1 on a line alone. Output each correct date as: 3/1/1990.Ex: If the input is:March 1, 1990April 2 19957/15/20December 13, 2003-1then the output is:3/1/199012/13/2003Given Code:import java.util.Scanner;public class DateParser { public static int getMonthAsInt(String monthString) { int monthInt; // Java switch/case statement switch (monthString) { case "January": monthInt = 01; break; case "February": monthInt = 02; break; case "March": monthInt = 03; break; case "April": monthInt = 04; break; case "May": monthInt = 05; break; case "June": monthInt = 06; break; case "July": monthInt = 07; break; case "August": monthInt = 8; break; case "September": monthInt = 9; break; case "October": monthInt = 10; break; case "November": monthInt = 11; break; case "December": monthInt = 12; break; default: monthInt = 00; } return monthInt; } public static void main(String[] args) { Scanner scnr = new Scanner(System.in); // TODO: Read dates from input, parse the dates to find the one // in the correct format, and output in mm/dd/yyyy format }} Why did Columbus voyages lead to more exploration Answer plz!Which choices are equivalent to the expression below? Check all that apply. write with fractional exponents. (do not use parentheses)ASAP ASAP IM REALLY BAD AT ALGEBRA ): !!!!! Which one of these grids is shaded red and blue in the ratio 1 : 1/3?AB.CE Which of the following is equivalent to 10000 lb? Which inequality is true?A. 6 - pi > 3B. pi + 3 < 6C. 8 pi > 24D. 12/pi > 4 What makes this an effective conclusion? It synthesizes ideas and has a clear call to action to live up to the standards of a great country. It does not synthesize ideas, but instead introduces new appeals to the audiences logic and emotion. It restates the claim in a clear way, and it also makes no mention of future action on the part of the audience. It has a clear call to action for the audience to practice communalism and to continue focusing on differences. help on this translation, please :) The energy, E, of a body of mass m moving with speed v is given by the formula below. The speed is nonnegative and less than the speed of light, c which is constant. Use lower case letters here. E = mc^2 (1/Squareroot1 - v^2/c^2 - 1) (a) Find E/m = c^2Squareroot1 - v^2/c^2 - c^2/1 - v^2/c^2 what is the sign of this partial? Positive negative (b) Find E/v =? A metal ring 4.60 cm in diameter is placed between the north and south poles of large magnets with the plane of its area perpendicular to the magnetic field. These magnets produce an initial uniform field of 1.12 T between them but are gradually pulled apart, causing this field to remain uniform but decrease steadily at 0.280 T/s.A. What is the magnitude of the electric field induced in the ring?B. In which direction (clockwise or counterclockwise) does the current flow as viewed by someone on the south pole of the magnet?1. Counterclockwise2. Clockwise Find the total cost, rounded to the nearest cent, of 3.9 pounds of corned beef at $5.49 per pound and 4.6 pounds of pastrami at $4.95 per pound. A car of mass 410 kg travels around a flat, circular race track of radius 83.4 m. The coefficient of static friction between the wheels and the track is 0.286. The acceleration of gravity is 9.8 m/s 2 . What is the maximum speed v that the car can go without flying off the track A notice is published stating that RMO 5% convertible preferred stock will be called at $60 per share. The preferred is convertible into 1/2 share of common and is selling in the market at $56 per share. RMO common stock is selling in the market at $110 per share. After the notice appears, the price of the preferred stock will most likely trade in the market at: _________. A cafeteria has a special: one hamburger and one order of fries is $5.49, and one hamburger and two orders of fries is $6.99. Determine the price of the hamburger. A sample of helium has a volume of 325 mL and a pressure of 655 mmHg. What will be the pressure, in mmHg, if the sample of helium is compressed to 125 mL (T, n constant)? (Show calculations.) A piston has an area of 4 m2 and needs 20 N of force to push it down. What is the pressure?P=F/A *A) 5 PaB) 0.2 PaC) 80 PaD) 20 Pabrainliest for the best answer!for besties with scienceeee!! asap plzz