A, E and B lie on a straight line segment.
C, D and B lie on a straight line segment.
BD = 3m, CD = 15m and AB = 21m.
Work out the length of BE.
Give your answer as a decimal.
Answers
The length of line BE on the given line segment is 3.5 m.
The given parameters:
Length BD = 3 mLength CD = 15 mLength AB = 21 mThe sketch of the given line segments is presented in the diagram uploaded.
The length of BE is determined by applying similar triangle theorem as follows;
[tex]\frac{CB}{AB} = \frac{BD}{EB} \\\\\frac{15 + 3}{21} = \frac{3}{EB} \\\\18EB = 63 \\\\EB = \frac{63}{18} \\\\EB = 3.5 \ m[/tex]
Thus, the length of line BE on the given line segment is 3.5 m.
Learn more about similar triangle here: https://brainly.com/question/11899908
Related Questions
Solve for y. 4/7 y + 2/7 = 6
A) y = 20
B) y = -10
C) y = 10
Answers
Answer:
C) y = 10
Step-by-step explanation:
Subtract 2/7 from each side
4/7y = 40/7
Divide both sides by 4/7 (Multiply by 7/4)
y = 10
Answer:
C) y=10
Step-by-step explanation:
4/7y+2/7=6
7(4/7y+2/7)=7(6)
4y+2=42
4y=42-2
4y=40
y=40/4
y=10
which ordered pair is not in the solution set of y>-1/2x+5 and y_<3x-2
1 (5,3)
2 (4,3)
3 (3,4)
4 (4,4)
Answers
===========================================================
Explanation:
Lets go through the points one by one
So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality
[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]
We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.
[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]
That's also true. Therefore, the point (5,3) is a solution to the system overall.
Your teacher wants you to find a non-solution, so we must cross choice A off the list.
---------------------
Let's now try choice B. We have x = 4 and y = 3
[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]
That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.
I NEED HELP ASAP
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover. 5 liters of paint can cover a wall with an area of 75 square feet.
a) What is the constant of proportionality? Tell how you found it.
b) Write an equation relating V and A.
c) How much paint would be needed to cover an area of 180 square feet? Show your work.
Whoever answers me correctly first will get extra points after this!
Answers
Hey! I believe this is the answer you're looking for:
https://brainly.com/question/16663256
Step-by-step explanation:
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.
This is written as:
\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}
(a)5 liters of paint can cover a wall with an area of 75 square feet.
V=5 liters, A=75 square feet.
Substitution into V=kA
5=75k
k=5/75
\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151
(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA
The equation relating V and A is:
V=\frac{1}{15}AV=151A
(c)If A=180 Square feet
Volume of paint needed,
\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}
I WILL GIVE 30 POINTS TO THOSE WHO FILL IN THE BLANK CORRECTLY
Answers
Which of the following tables represents a function?
X 66
77
y 2 -2 3-3
x 2-2 3-3
y 55
77
x 3 -3 3-3
y 6 7
89
X 4 4 5 5
y 1 2 3 4
Answers
Answer:
x 2-2 3-3
y 5 5 7 7
Step-by-step explanation:
Each domain, or x value, can only be matched with one y value, so given this, the third one is the answer since every domain is only matched with one range, or in other words, there are no repeating domains in on the x row of the table.
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
A function can have many to one but a function can not have one to many.
So,
From the table,
x 2 -2 4 -4
y 8 8 12 12
This is a many-to-one function.
All the other tables are one-to-many functions.
Thus,
The table that represents a function is
x 2 -2 4 -4
y 8 8 12 12
Learn more about functions here:
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Thanks so very much!!
Answers
Answer:
yw
Step-by-step explanation:
Realiza los desplazamientos de las figuras como se indican y contesta
Answers
Para desplazar o trasladar una figura siempre mueva la figura de acuerdo al ángulo o distancia indicado sin modificar el tamaño o características de la figura.
¿Qué significa desplazar una figura?El desplazamiento o traslación de una figura implica el desplazamiento de la figura de acuerdo a un ángulo determinado o distancia.
Este desplazamiento generalmente cambia la posición de la figura pero nunca debe cambiar:
El tamaño de la figura.Los ángulos o lados de la figura.Las características de la figura.¿Cómo trasladar una figura?Determine la dirección, ángulo o distancia en la que tiene que mover la figura, por ejemplo, trasladar la figura 5 cm hacia la derecha.Dibuje la figura en la nueva posición asegurándose con el uso de una regla u otras herramientas que la figura no cambie.Nota: Esta pregunta esta incompleta porque no hay información sobre las figuras que se deben trasladar ni las preguntas a responder, por está razón respondí la pregunta basado en conocimiento general.
Aprenda más sobre figuras en: https://brainly.com/question/14982752
Solve for x
−4x+60<72 OR 14x+11<-31
Answers
Answer for 2 I did 14x+11-31 not sure it what u meant but answer is = 14x-20,
Answer:
x ≠ -3
Step-by-step explanation:
Adding 4x-72 to the first inequality gives ...
-12 < 4x
-3 < x . . . . . divide by 4
Adding -11 to the second inequality gives ...
14x < -42
x < -3 . . . . divide by 14
Now we have ...
x < -3 or x > -3
The solution is x ≠ -3.
_____
The graph of the solution set is the entire number line with a "hole" at -3. The number -3 is the only value not part of the solution set.
Translate this sentence into a equation. 70 is the product of Delilah‘s age and 5. use the variables d to represents Delilah’s age
Answers
Answer:
Step-by-step explanation:
i dont know.
start a conversation with me and you get 100 points :D
Answers
Answer:
lol hi :D
Step-by-step explanation:
Answer:
Hey what's up?
Step-by-step explanation:
How's life
Area of rectangle and triangles!! HELP ASAPPP
Answers
Answer:
13. 15
14. 7.25
15. 18.7
16. 40.515
17. 9.6
18. 12.95
19. 20.4
20. 16.2
21. 24
22. 25.65
Plz help ToT I'm horrible at math
Answers
Answer: 126
Step-by-step explanation:
A=2(wl+hl+hw)
Please help on both. I’m not sure of my answrs before I submit. Thank u :)
Answers
Answer:
ok so first you got to wait All the faith he had had had had no effect on the outcome of his life. ...
2 One morning I shot an elephant in my pajamas. ...
3 The complex houses married and single soldiers and their families. ...
4 The man the professor the student has studies Rome.
Step-by-step explanation:
Find the measure of the missing angle
Please help me, I’ll give you points
Answers
Answer:
a = 28°
Step-by-step explanation:
62°+a° = 90°
a = 90 - 62
a = 28°
Answer:
∠A = 28°Step-by-step explanation:
Since we know that 62 + ∠A must equal 90°, we can find the missing angle by isolating the variable.
=> 62 + ∠A = 90°=> ∠A = 90 - 62=> ∠A = 28°Conclusion:
Therefore, the measure of the missing angle is 28°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
A pump moves 360 gallons in 1 hour. How many gallons can be moved in 1 minute?
Answers
Explanation: there is 60 mins in an hour so divide 360 by 60 and you will receive the answer of 6 gallons per min
CAN SOMEONE HELP ME PLEASE ASAP!?
Answers
Answer:
$8.00
Step-by-step explanation:
20% of 44.85=8.97
thats the closest to 8.00
Answer:
the answer is 9 dollars cuz the real answer is $8.97 and round to the nearest whole the answer is 9
Step-by-step explanation:
From the observation deck of a skyscraper, Jamal measures a 51° angle of depression
to a ship in the harbor below. If the observation deck is 1123 feet high, what is the
horizontal distance from the base of the skyscraper out to the ship? Round your
answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
Your answer is 909.39 feet
Step-by-step explanation:
What are the coordinates of C if translated 5 units upward?
Answers
(6, 11)
hope this helps!
Write an equation for the graph.
Answers
Answer: y=5/3x+3
Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation
three african elephants can weigh a total of 13,500 pounds. at this rate, how many do 2 african elephants weigh?
Answers
Answer:
Step-by-step explanation:
13500/3 = 4500
4500 x 2 = 9000
Evalute the expression X=6 y=-4 -3y+x
Answers
Answer:
y= 1/2
Step-by-step explanation:
y=-4 -3y+x
<=> y + 3y = -4 + x
<=> 4y = -4 + 6
<=> 4y = 2
<=> y = 1/2
Find the length of side x to the nearest tenth.
300
x
1
60°
Answers
Answer:
x=65
Step-by-step explanation:
find three consecutive numbers if their sum is 3n
Answers
Answer:
n-1,n,n+1
Step-by-step explanation:
let the numbers be x,x+1,x+2
x+x+1+x+2=3n
3x+3=3n
3x=3n-3
x=1/3 (3n-3)=n-1
so mumbers are n-1,n,n+1
The three consecutive numbers are n-1, n, and n+1.
We have to determine, the three consecutive numbers if their sum is 3n.
According to the question,
The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.
Let, the three consecutive numbers be x, x+1, and x+2.
The sum of three consecutive numbers is equal to 33.
[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]
Therefore,
The first consecutive number is,
[tex]\rm x = n-1[/tex]
The second consecutive number is,
[tex]\rm x+1 = n-1+1 = n\\[/tex]
The third consecutive number is,
[tex]\rm x+2= n-1+2 = n+1\\[/tex]
Hence, The three consecutive numbers are n-1, n, and n+1.
For more details refer to the link given below.
https://brainly.com/question/16048559
Answer the following.
1 Bharat borrows a certain sum of money at
5% pa. If he pays 2000 as simple interest
at the end of the first year, find the sum he
borrowed
Answers
Answer:
40000
Step-by-step explanation:
Simple interest (I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the amount borrowed , R is the interest and T the time in years
Here I = 2000 , R = 5 and T = 1 with P to be found , then
2000 = [tex]\frac{P(5)(1)}{100}[/tex] ( multiply both sides by 100 )
5P = 200000 ( divide both sides by 5 )
P = 40000
Answer:
The sum (Principal) is Rs.4000.
Step-by-step explanation:
Given :
Simple interest = Rs.2000Time = 5% per annum Time = 1 yearTo Find :
PrincipleUsing Formula :
[tex]\star\small{\underline{ \boxed{\sf{\red{S.I = \dfrac{P \times R \times T}{100}}}}}}[/tex]
S.I = Simple Interest P = Principle R = Rate T = TimeSolution :
Substituting all the given values in the formula to find the Simple Interest :
[tex]{\dashrightarrow{\small{\sf{S.I = \dfrac{P \times R \times T}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5 \times 1}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{P \times 5}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{2000= \dfrac{5P}{100}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \dfrac{100}{5}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times \cancel{\dfrac{100}{5}}}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P = 2000 \times 20}}}}[/tex]
[tex]{\dashrightarrow{\small{\sf{P =Rs.40000}}}}[/tex]
[tex]\star\small{\underline{ \boxed{\sf{\red{P = Rs.40000}}}}}[/tex]
Hence, the sum Bharat borrowed is Rs.40000.
[tex] \rule{190}1[/tex]
The height and age of
a child.
Student Recording Sheet
Is it positive correlation, No correlation , or negative correlation ?
Answers
Answer: positive correlation
Step-by-step explanation:
sorry if im wrong
frEE po ints
Lets say you own a ferret store and you have 20,female ferrets worth $400 and 2, male ferrets worth 350 dollar ferrets. you sell 1male ferret and 8 female ferrets how much money do you get from the sellings?
pt.b
your store gets robbed and you loose 800 dollars worth of female ferrets and 350bucks worth of male ferrets how many ferrets do you have in still have in toatal?
Answers
Answer:
Part A, 3550$
Part B, Ten female ferrets left
Step-by-step explanation:
A dog's leash is tied to a pole while the owners go into a restaurant to get the dog
some water. If the leash is 7 feet long and the dog can walk 180 degrees in a semi-
circle, how many feet can he walk if he extends the leash as far as it can go? Round
your answer to the nearest foot, and enter the number only.
Answers
Answer:
22 feet.
Step-by-step explanation:
Arc Length= Ø / 360 degrees * 2pir
(2pir = 2 * pi * radius)
Given: r = 7 feet
Ø = 180 so the fraction of the circle we seek is 180/360 = 1/2
Arc length: 1/2*2pi*7 = 21.99 ft
22 ft when rounded!
The length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
What is the length of the arc of the circle?The arc length formula for a circle is times the radius of a circle. Arc length ( Angle x radius ) is a way to express the arc length formula in radians.
Given that a dog's leash is tied to a pole while the owners go into a restaurant to get the dog some water. The leash is 7 feet long and the dog can walk 180 degrees in a semi-circle.
The length of the arc will be calculated as below:-
Arc Length= Ø / 360 degrees * 2pir
(2πr = 2x π x radius)
r = 7 feet and Ø = 180 the fraction of the circle we seek is 180/360 = 1/2
Arc length = 1/2 x 2 π x 7 = 21.99 ft
Therefore, the length of feet he can walk if he extends the leash as far as it can go will be 22 feet.
To know more about the length of the arc of the circle follow
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Which point is located at (Negative 1, 1 and one-fourth)? A B C D
Answers
Answer:
Point A
Step-by-step explanation:
Look along the x axis (horizontal) and find -1. Then look on the y axis and find 1 and 1/4. Finally, find where the two coordinates meet and that's your point - A.
Hope this helps!
PLS HELPPPPPPPPPPPPPPPPPPPPPPP
Answers
easy problem nice about of points
Answers
Answer:
1
Step-by-step explanation: i am not sure