The resistance, R (in ohms), of a wire varies
directly with the length, L (in cm), of the
wire, and inversely with the cross-sectional
area, A (in cm2). A 500 cm piece of wire with
a radius of 0.2 cm has a resistance of 0.025
ohm. Find an equation that relates these
variables.

Answers

Answer 1

Answer:

The equation is: [tex]R = \frac{L}{A}[/tex]

Step-by-step explanation:

The resistance, R (in ohms), of a wire varies directly with the length, L (in cm), of the wire, and inversely with the cross-sectional area, A (in cm2).

This means that we want to find an equation for R, which is a fraction.

Since it varies directly with the length L, L is the numerator.

Since it varies inversely with the cross-sectional area, A is the denominator.

So the equation is:

[tex]R = \frac{L}{A}[/tex]

Answer 2

Answer:

R ∝ L/ A

R = K L/ A

0.025= 500K/0.126

the constant, K=6.3 X 10^-6

Step-by-step explanation:

Step 1

The resistance, R (in ohms), of a wire varies directly with the length, L (in cm), of the wire, and inversely with the cross-sectional

area, A (in cm2)  is written mathematically as

R ∝ L/ A

Introducing the constant of proportionality,K,  we have

R = K L/ A

So given that s  500 cm piece of wire with  a radius of 0.2 cm has a resistance of 0.025 ohm.

We would First find area , since radius was given

Area = πr²

= 3.142 x 0.2²= 0.126cm²

Step 2

With our equation , R = K L/ A, puting all the necessary variables, we have

R = K L/ A

0.025= 500K/0.126

Solving for K

0.025= 500K/ 0.126

(0.025 X 0.126)/500 = K

K=6.3 X 10^-6


Related Questions

Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to
5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is
$2,461, determine the amount in her account after 25 years. Round to the nearest cent
a$339,804.33
$354,452.86
$344,941.24
d. $347.269.59
b
C

Answers

Answer:

A: $339,804.33

Step-by-step explanation:

YOU HAVE THE ANSWER BE  HAPPY!!  /( 0 v 0 )"/

Answer:

a

Step-by-step explanation:

An apple is cut into 6 equal slices. Nancy eats 2 of the slices. What fraction of the apple is left? ​

Answers

Answer:

Fraction of apple pieces left = 4/6 = 2/3

Answer:

4/6.

Step-by-step explanation:

Nancy first ate 6, which equals 6/6. then she ate 2, which is 4/6.

Mark agreed to babysit his younger cousin every Wednesday for the same hourly rate. Last Wednesday, Mark made $38 for babysitting for 4 hours. What
equation can be used to determine how much money, Mark will make for every hour, he babysits, so long as the hourly rate stays the same each time?

Answers

Answer:

38 divided by 4

Step-by-step explanation:

9. What is 3/8x3/8x3/8 written as a power?

Answers

Answer:

3^3/8^3

Step-by-step explanation:

because since there are 3 three's in 3/8, it will have to be 3^3 and since there are 8 three's, it will be 8^3. so the answer will be 3^3/8^3

The representation of the expression (3/8)x.(3/8)x.(3/8)x in terms of power is  [(3/8)x]³.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression (3/8)x.(3/8)x.(3/8)x.

= (3/8)×(3/8)×(3/8)×x×x×x.

= (3/8)³×x³.

= [(3/8)x]³.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ5

What is the difference of 54.567 and 361.02

Answers

Answer:

-306.453

Step-by-step explanation:

306.453

(i just used a calculator hsfgkhd)

Twice the quantity of 4d increased by 9 is 33.

Answers

play with my melons and drool my girl part

Step-by-step explanation:

it would feel so good and after i can make you com it will make you feel better

Give the least common
multiple:
3a, 15

Answers

Answer:

3

Step-by-step explanation:

3 goes into 3a once and 15 5 times

Which inequality is true

Answers

The second one would be correct

which is larger 3/4 or 0.73

Answers

Answer:

3/4

Step-by-step explanation:

3/4 as a decimal is .75

.75>.73

Answer:

3/4 is larger

Step-by-step explanation:

3/4=0.75

0.75 is 0.02 larger than 0.73.

Hope this helps! :)

Francesca must buy over $55 worth of art supplies to qualify for free shipping

Answers

Answer

the question isn't complete

Step-by-step explanation

cool

−3−3/4(c−4)=5/4

anser for c

offering brainlyest in the next ten minutes

Answers

Answer:

okay so it is −

3

1

3

4

(

4

)

=

5

4

3

3

4

(

4

)

=

5

4

Step-by-step explanation:

The student council started with 50 cans of food for the food drive and then
collected 5 per student.

Answers

10 students is that what your looking for

Multiply: (3x + 6)(5x+2)

Answers

Answer:

Hi! The correct answer is 15x^2 + 36x + 12!

Step-by-step explanation:

~Expand the polynominal using the FOIL method~

Answer:

1 5 [tex]x^{2}[/tex] + 3 6 + 1 2

Step-by-step explanation:

Find the perimeter and area of the rectangle.
6.9 in
2.4 in

Answers

Answer:The perimeter = 18.6 , The area= 16.56

Step-by-step explanation: The perimeter is all sides added together and there are four sides and two sides are even , so there are two ways to find it. {1} 6.9x2=13.8 , 2.4x2=4.8; 13.8+4.8=18.6…{2} 6.9+6.9+2.4+2.4=18.6.

The area is two sides multiplied together so, 6.9x2.4=16.56


Blue Sky Jeans Company manufactures jeans.
A machine cuts the fabric pieces and workers sew
them.
One worker can sew the fabric pieces for a 1/2
pair of jeans in 1/8
hours?
How long does it take a worker to sew one pair of
jeans?

Answers

Answer: 1/4

Step-by-step explanation:

Analyze the diagram below and complete the instructions that follow.
Find the value of x.

Answers

Answer:

10

Step-by-step explanation:

since it is a right angle triangle

[tex] {x}^{2} = ({5 \sqrt{2} })^{2} +({5 \sqrt{2} })^{2} [/tex]

[tex] x = \sqrt[2]{(5 \sqrt{2} )^{2} +( 5 \sqrt{2})^{2}} [/tex]

[tex]x = \sqrt{(25 \times 2) + (25 \times 2)} [/tex]

[tex]x = \sqrt{50 + 50} [/tex]

[tex]x = \sqrt{100} [/tex]

[tex]x = 10[/tex]

4(x-7)=2(x+3) solve for x

Answers

Answer:

x=17.... I checked on mathaway and did it myself should be correct

Answer:

x=17

Step-by-step explanation:

2(x-7)=(x+3) divide both sides by two

2x-14 =(x+3) distribute

2x-14-x-3=0 substract x+3  

x-17=0 combine like terms

x=17 add 17 to both sides

complete the missing value in the solution to the equation.^

Answers

Answer:

10

Step-by-step explanation:

subtract 5y from both sides of the equation

Pls answer I need help!!

Answers

Do you still need help?

Which angles form a linear pair? Helppp

Answers

Given:

Pairs of angles in options.

To find:

The angles that form  a linear pair.

Solution:

Linear pair: Two angles are called linear pair if they are lie on the same side of a straight line and their sum is 180 degrees.

In the given figure, we have two straight lines MO and NP.

Linear pairs for line MO are

[tex]\angle MRN[/tex] and [tex]\angle NRO[/tex]

[tex]\angle MRP[/tex] and [tex]\angle ORP[/tex]

[tex]\angle LRM[/tex] and [tex]\angle LRO[/tex]

Linear pairs for line NP are

[tex]\angle ORP[/tex] and [tex]\angle NRO[/tex]

[tex]\angle MRP[/tex] and [tex]\angle MRN[/tex]

[tex]\angle PRL[/tex] and [tex]\angle LRN[/tex]

So, pairs of angles in options A, B and D are not linear because they are not lie on the same side of a straight line.

Therefore, the correct option is C.

what is 4/7÷2/3? please help me with this​

Answers

Answer:

Hi! The correct answer is 8/21!

Step-by-step explanation:

~Simplify the expression~

Answer:

Um 0.09523809523. Yeah

Define least common multiple

Answers

Answer:

another term for lowest common multiple

Step-by-step explanation:

btw I got this from the web hoped I helped:)

Answer:

its similar to least common factor; a number or constant that is the lowest a number can be multiplied to get itself.

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

heyyyy someone help me with this​

Answers

Answer:

1.  1 hour per day

2. sorry i don't know the answer

Step-by-step explanation:

7hours 30minutes - 1hour 30minutes = 6hours

6 divided by 6 = 1hour

Find the slope of the given line, if it is defined.
The line through the origin and (-9,12)
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope equals
(Simplify your answer.)
B. The slope is undefined.

Answers

Answer:  A. The slope is [tex]-\dfrac{4}{3}[/tex].

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

[tex]\text{Slope}=\dfrac{d-b}{c-a}[/tex]

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

[tex]\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}[/tex]

Hence, the slope is [tex]-\dfrac{4}{3}[/tex].

For what values of x and y are the triangles to
the right congruent by HL?

Answers

Answer:

x = 6

y = 2

Step-by-step explanation:

For both triangles to be congruent, their hypotenuse lengths and the corresponding length of the other leg must be equal to each other.

Thus:

x = y + 4 ---› Eqn. 1

x + 2 = 4y ----› Eqn. 2

Substitute x = (y + 4) into equation 2.

(y + 4) + 2 = 4y

y + 4 + 2 = 4y

y + 6 = 4y

y - 4y = -6

-3y = -6

y = 2

Substitute y = 2 into equation 1

x = y + 4 ---› eqn. 1

x = 2 + 4

x = 6

Marco can hit the archery target 3 out of every 15 times he shoots. If he missed 48 times, how many times will he be expected to hit the target?

Answers

Answer: 12

15-3=12 miss ratio

48misses/12 sets of misses= 4 sets of 15 shots

Up to twelve 4*3 twelves accurate shots provided he shot at least 60

Step-by-step explanation:

Find the value of x in the figure below: (Round to the nearest hundredth)

Answers

Answer:

um I think that the value of x is 41 try it but i'm not really sure...

Step-by-step explanation:

classify the triangle that satisfies the following set of conditions: one obtuse angle and no congruent sides. (Check your spelling.) *

Answers

Answer : scalene triangle

Explanation: the other 2 triangles have congruent sides

Answer:

A scalene triangle

Step-by-step explanation:

A scalene triangle is a triangle with unequal interior angles

The system has how many solutions?

Answers

Answer:

two solutions ldk because thethe lines are split into four and if you take away two you still have four more I really don't know this

Answer:

No solution.

Step-by-step explanation:

[tex]y = 2x + 3 \\ y = 2x - 1[/tex]

Both equations are in slope-intercept form so we can combine both equations.

[tex]2x + 3 = 2x - 1[/tex]

Solve the equation.

[tex]2x - 2x = - 1 - 3 \\ 0 = - 4[/tex]

Both sides are different. Therefore, both graphs are parallel and no solutions.

The velocity in meters per second of a ball that is dropped from a window at a hight of 10.5 meters is represented by the equation v = √2(9.8)(10.5). Estimate the velocity of the ball. Round your answer to the nearest tenth.

Answers

Answer:

14.3 meters per second.

Step-by-step explanation:

v=2(9.8)(10.5)

v=205.8

v=14.3

Answer:

v=145.522576 becuase you simpilyfy the equarion and you get this

Step-by-step explanation:

rounded to the nearest tenth it would be 145.5

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