If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .
Answer:
The area of this circle is [tex](\frac{\pi}{2} )[/tex] the area of the square.
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
Step-by-step explanation:
Area of the circle is given by;
[tex]A_c = \frac{\pi d^2}{4}[/tex]
Area of the square is given by;
[tex]A_s = L^2[/tex]
relationship between the edge length of the square, d, and length of its side, L,
[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]
But area of the square , [tex]A_s = L^2[/tex]
[tex]d = \sqrt{2A_s}[/tex]
Then, the area of the square in terms of the edge length is given by;
[tex]A_s = \frac{d^2}{2}[/tex]
Area of the circle in terms of area of the square is given by;
[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]
For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.
Ф = E.A
Flux through the surface of the circle is given by;
[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]
Flux through the surface of the square is given by;
[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]
Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square
The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Φsquare is [tex]\dfrac{2}{\pi}[/tex] ϕcircle
Given
If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square
For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.
Therefore, Φsquare is ________ ϕcircle .
1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.
The area of the circle is;
[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]
The area of the square is;
[tex]\rm Area \ of \ square = a^2[/tex]
The relationship between the edge length of the square, d, and length of its side a is;
[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;
[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]
If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.
2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.
Ф = E.A
3. Flux through the surface of the circle is given by;
[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]
To know more about Flux click the link given below.
https://brainly.com/question/5932170
Solve using the distributive property 5(3 + 0.5)
Answer:
17.5
Step-by-step explanation:
15 plus 2.5
17.5
hope this helps
is 1/4 a repeating decimal
Answer:
Yes
Step-by-step explanation:
someone help me on 2 and 3 plssssss
Answer:
<MSDBEF
Step-by-step explanation:
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A cylinder has a height of 20 inches and a diameter of 18 inches.
Find the surface area in terms of straight pi
Answer:
1639.91
Step-by-step explanation:
to work out surface area of a cylinder u do
A=2πrh+2πr2
hope this helps :)
A furniture manufacturer makes two types of furniture: chairs and sofas. The production of the sofas and chairs requires three operations: carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The prfit per chair is $90 and the profit per sofa is $75. The manufacturer wants to know how many chairs and how many sofas should be produced each day to maximize the profit.
Formulate a linear programming (LP)problem you would use to find a solution.
Step-by-step explanation:
let chairs be C and sofas be S
The objective function is
Maximize
90C+75S=P
The constraints are
carpentry
3C+2S=66------1
finishing
9C+4S=180-----2
upholstery
2C+10S=200-----3
C>0, S>0
The linear programming is
3C+2S=66
9C+4S=180
2C+10S=200
Robert bought a 6 pack of cans of iced tea for $2.70. About how much is the unit cost for each can of iced tea?
Answer:
.45$
Step-by-step explanation:
2.70 ÷ 6
Answer:
$0.45
Step-by-step explanation:
If 6 cans of iced tea costs $2.70,
1 can would cost ($2.70 ÷ 6)
Graph the line that passes through the coordinates below and determine which statement is true.
(2,3) (3,4.5) (4,6) (6,9)
A.
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B.
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D.
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
Answer:
the correct answer is: C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Step-by-step explanation:
A straight line passing through the points (1, 2), (3, 4), (5, 6) and (7, 8) does not pass through the origin, as shown on the graph below.
Therefore, the line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
Answer:
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin--the correct answer is B.
Step-by-step explanation:
You first graph the coordinates shown, then you repeat the same pattern until the answer is revealed which is shown in the column above. Also, a reminder to all a proportional line is a line that goes through the origin ((0,0)).
PlSSSSSS HELP multiple choice
What is the slope of the line that passes through the coordinate points: (0,3)
and (5, 96)?
Answer:
93/5
Step-by-step explanation:
Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p
Complete Question
Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.
Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.
Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p
Answer:
The statements that are true regarding Valerie's situation:
A: p + 0.5b + 2d < 10
C: d < 2b
D: b > 3p
Step-by-step explanation:
Lets represent
The number of protein bars as p.
The number of bananas as b.
The number of sports drinks that Valerie buys as d.
From the question:
We are told
Protein bars are $1
Bananas are $0.50
Sports drinks are $2.
She will spend no more than twice as much on sports drinks as bananas
d ≤ 2b = d < 2b
At least three times as much on bananas as protein bars.
b ≥ 3p = b > 3p
We are also told that:
Valerie has $10 to spend.
Hence:
$1 × p + $0.50 × b + $2 × d < $10
= p + 0.5b + 2d < 10
Therefore, the statements that are true regarding Valerie's situation:
A: p + 0.5b + 2d < 10
C: d < 2b
D: b > 3p
After the first week of registration, 92 children had enrolled for the second
session of summer camp. If this represents 80% of the available slots, what
is the maximum number of children the camp can enroll for the second
session?
Answer:
115 children
Step-by-step explanation:
Please see the attached picture for the full solution.
find the value of x
PLEASE HELP!!!
can anyone help with the vertical angles
Answer:
a
Step-by-step explanation:
do the ones that are congruent and right in front of eachother
[tex]\angle JLK \ \ \& \ \ \angle MLN\\\\\angle JLM \ \ \& \ \ \angle KLN[/tex]
See the diagram below. I've marked the angles in question using different colors. Angles JLK and MLN are in red. Angles JLM and KLN are in blue.
Vertical angles are opposite one another when we have an X shape like this. Vertical angles are always congruent.
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?
In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.
part A. According to the question, the unit rate is to be expressed in which units?
Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.
Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.
Part D. Rewr
Complete question :
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Length of trail = 3/4 of a mile.
Time taken = 1/6 of an hour
A) unit rate will be expressed in:
Length of trail = miles
Time taken. = hour
= miles per hour (mph)
B) Jogging rate :
Length of trail / time taken
3/4 miles ÷ 1/6 hour
3/4 * 6/1
18/4 = 4 2/4 = 4 1/2
Answer:
3/4/3/6 miles per hour
Thanks ninofhghvhghvhv
Answer:
ok
Step-by-step explanation:
❤️
Answer:
okay jekwkwkwisjwjqkwkjskwwwkwkwkwk s wowowi
Mackenzie has one candy bar to share equally with her best friend. What portion of the candy bar does Mackenzie give to her best friend.
Answer:1/2
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation: if each of you get part of the candy bar and you need to share it equally, both of you get 1/2 of it.
Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110
Answer:15x+35=110
Step-by-step explanation:
1. How many numbers less than 10,000 are there which are divisible
by 21, 35 and 63?
Answer:
31
Step-by-step explanation:
To solve this problem, we must find the lowest common multiple of 21, 35 and 63
Find the prime factors of the number;
Prime factors of 21 = 3 x 7
35 = 3 x 5
63 = 3 x 3 x 7
The lcm = 3 x 3 x 5 x 7 = 315
The numbers between 1 and 10, 000 divided by these three numbers;
First number = 315
Last number = 9765
Now the total number:
= [tex]\frac{first number - last number }{315} + 1[/tex]
= [tex]\frac{9765 - 315}{315}[/tex] + 1
= 30 + 1
= 31
4. A model of a skyscraper is made so that 1 inch represents 75 feet. What is the height of the actual building if the height of the model is 18 3/5 inches?
5. The portrait company that takes little league baseball team photos is offering an option where a portrait of your baseball pose can be enlarged to be used as a wall decal (sticker). Your height in the portrait measures 3 1/2 inches. If the company uses a scale where 1 inch on the portrait represents 20 inches on the wall decal, find the height on the wall decal. Your actual height is 55 inches. If you stand next to the wall decal, will it be larger or smaller than you?
6. The sponsor of a 5K run/walk for charity wishes to create a stamp of its billboard to commemorate the event. If the sponsor uses a scale where 1 inch represents 4 feet, and the billboard is a rectangle with a width of 14 feet and a length of 48 feet, what will be the shape and size of the stamp?
7. Danielle is creating a scale drawing of her room. The rectangular room measures 20 1/2 ft. by 25 ft. If her drawing uses the scale where 1 inch represents 2 feet of the actual room, will her drawing fit on an 8 1/2 in. by 11 in. piece of paper?
.
I am going to have to go with answer A
If a1=2 and an=an-1+5 then whats the value of a5
Answer:
a5=10
Step-by-step explanation:
a1=2 a2=4 a3=6 a4=8 a5=10
The value of the 5th term of the arithmetic sequence will be 22.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
The value of the first term is 2. Then the value of the 5th term is calculated as,
a₂ = a₁ + 5
a₂ = 2 + 5
a₂ = 7
a₃ = a₂ + 5
a₃ = 7 + 5
a₃ = 12
a₄ = a₃ + 5
a₄ = 12 + 5
a₄ = 17
a₅ = a₄ + 5
a₅ = 17 + 5
a₅ = 22
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ2
A 40-foot powerboat is for sale by the owner. How long is the boat to
the nearest yard?
Calculate a point estimate of the mean pull-off force of all connectors in the population (Round the answer to four decimal places (e.g. 90.2353).) g
Answer:
The answer is "75.627"
Step-by-step explanation:
Please find the correct question in the attached file.
The mean displacement force among all connectors throughout the population calculates the point estimation.
[tex]\bold{ \bar x= \frac{\text{Sum of observation}}{\text{Amount of observations}}}[/tex]
[tex]= \frac{1966.88}{26}\\\\=75.627[/tex]
-3(x + 2) = 16 - x
I need helpppp ASAP
Answer:
x = -11
Step-by-step explanation:
-3(x + 2) = 16 - x
-3x - 6 = 16 - x
-22 = 2x
Divide
-22/2 = x
-11 = x
HELP WILL MARK BRAINLIEST
Answer:
(-3,-1)
Step-by-step explanation:
You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.
solve for the x variable .
Answer:
x=15
Step-by-step explanation:
plz mark as brainliest
hope it helped u
Answer:
ok the question is 2x is equals to 15 + x so we will collect the like terms so that we have 2 x minus x is equals to 15 and x is equals to 15
40,984 rounded to the nearest ten thousand
Hi friend! Hope this helps!
40,000.
Which representation has a constant of variation of –2.5?
A
x
–2
–3
–4
–5
y
–5
–7.5
–10
–12.5
B
5 x + 2 y = 0
C
y = negative 2.5 x + 1
D
On a coordinate plane, a line goes through points (negative 1, 0) and (0, negative 2).
A
B
C
D
Answer:
ez b no doubt
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Anyone good with matrixes and matrices? please help me i need help with 10 questions and I need to raise my grade ASAP please
Answer:
what questions need to be done? We need to know the problems before we answer them. :/
Is a 70 a bad grade on a math test?
Answer: in my opinion is better than an F
Step-by-step explanation: