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inna [77]
3 years ago
15

if 18 meters of high resistance wire with a diameter of 1.2 mm has a resistance of 10 ohms, what is the resistance of 27 m of th

e same type of wire with a diameter of 1.5mm?
Mathematics
1 answer:
Stells [14]3 years ago
6 0
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2

Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms 
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State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.
lara [203]

False , Combining a coin toss and a roll of a die makes a simple event.

In statistics, what does a probability mean?

  • The probability serves as a gauge for how likely an event is to occur. It gauges how likely an event is.
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False , Combining a coin toss and a roll of a die makes a simple event.

A true statement is​ "For data at the interval​ level, you CAN calculate meaningful differences between data​ entries."

Learn more about probability

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3 0
1 year ago
4. If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second
uysha [10]

Answer:

1/16

Step-by-step explanation:

Given in comment:

5,4,3,2 = Spinner

Thus, there are 4 possible answer

Given:

If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?

1/16

3/16

1/8

1/4

Solve:

Knowing that there only <u>One 5 and One 2 on the spinner.</u>

Thus, in fraction form - 1/4 and 1/4

Probability land on 5 = 1/4

Probability land on 2 = 1/4

Because there are 4 possible solution and one of each is 5,4,3,2

Now, multiply then together:

1/4 × 1/4 = {1 ×1 = 1 and 4 × 4 = 16}

Put Together:

1/16

Hence, the answer is " The Probability that the spinner will land on 5 on the first spin and 2 on the second spin is 1/16  

<em>~Lenvy~</em>

5 0
2 years ago
Read 2 more answers
Can you tell de answer?
kodGreya [7K]
Yes, it’s D because you would have want to compare both fractions by making them have the same denominator. Since 60 is the least common denominator for 10 and 12 (the denominators), you would convert the fractions by multiplying the numerator and denominator of 5/10 by 6 to get 60. 5/10 would turn into 30/60. Then you would multiply 6/12 both by 5, and then it would turn into 30/60. Now that you have equal fractions, you can guess that they are the same. Therefore, 30/60=30/60! An easier way of doing it would be just simplifying them into 1/2 and comparing them + seeing that they are both 1/2. Hope this helps!

•••

Caramelatte
7 0
2 years ago
Seven less than the quotient of a number, x, and twelve is five times the number. Which answer represents this situation??
erica [24]

Answer:

Option b is correct.

Step-by-step explanation:

From the given condition : Seven less than the quotient of a number, x, and twelve is five times the number.

Here, the number is x

The quotient of a number x and twelve is expressed as ,  \frac{x}{12}

Seven less than the quotient of a number, x, and twelve is expressed as,  \frac{x}{12}-7

Five times the number mean, 5x

Therefore, we have an equation in the form of <em>x</em>  from the given condition as:

\frac{x}{12}-7=5x .







8 0
2 years ago
Read 2 more answers
What is the area of this figure?
s2008m [1.1K]

Step-by-step explanation:

it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).

we only need to calculate all 3 areas and add them up for the total.

the area of a rectangle is

length × width

so, in our 2 cases we have

6 × 2 = 12 km²

5 × (3 + 2 + 3) = 5×8 = 40 km²

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.

so, in our case

6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²

in total, the whole area is

12 + 40 + 39 = 91 km²

4 0
1 year ago
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