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ella [17]
3 years ago
12

2. The electrical resistance R of a wire varies inversely with the square of its diameter d. If a wire with a

Mathematics
1 answer:
Mariulka [41]3 years ago
4 0

Answer:

0.225 \Omega =225 m\Omega

Step-by-step explanation:

We know (Ohm second law) that R= \frac{k}{d^2} where k inlcudes the rest of the parameters (material, lenght). In our situation we have k= 0.4\cdot9 \Omega mm^2. The moment the diameter becomes 8mm R becomes

R= {{0.4\cdot 9}\over{16}} \Omega = 0.225 \Omega

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37. Construct Arguments Luis and Raul are
Katarina [22]

Using the slope - intercept relation, the required equation which models the scenario and Raul's speed are ;

  • <em>y</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>7.5x</em><em> </em><em>+</em><em> </em><em>15</em><em> </em>
  • <em>4</em><em> </em><em>miles</em><em> </em><em>per</em><em> </em><em>hour</em><em> </em>

Time difference, Δt = 1.2 hours - 0.5 hours = 0.7 hours

Change in distance, Δd = 11.25 - 6 = 5.25 miles

Assuming a constant speed :

  • Speed = (Δd ÷ Δt) = (5.25 ÷ 0.7) = 7.5 mi/hr

<u>Using the general form</u> :

  • y = bx + c

At, x = 1.2 hours ;

Miles left, y = 6 miles

End point decreases by 7.5 mi/hr (-7.5 mi/hr)

Inputting the data into the equation :

6 = - 7.5(1.2) + c

6 = - 9 + c

c = 6 + 9 = 15 miles

<u>The expression in slope intercept form becomes</u> ;

  • y = -7.5x + 15

<u>If Raul lives 5 miles closer to the beach</u> ;

<u>Time it will take Luis to get to the beach</u> :

  • Time taken = (15 ÷ 7.5) = 2.5 hours

Distance Raul has to cover = 15 - 5 = 10 miles

To reach the beach after 2.5 hours ;

  • Speed required = (10 ÷ 2.5) = 4 mi/hr

Therefore, Raul has to ride at 4 miles per hour for the plan to work.

Learn more :brainly.com/question/18405415

5 0
2 years ago
A soccer team is having a car wash.The team spent $55 on supplies and earned $275,including tips. The teams's profit is the amou
Dafna11 [192]

hey there

the answer is

220

thanks

SAVAGELEGEND72

6 0
3 years ago
Determine the number of possible triangles, ABC, that can be formed given A = 30°, a = 7, and b = 18.
zzz [600]

Answer:

none

Step-by-step explanation:

We are given a triangle ABC with ∠A = 30°, sides a = 4 and b = 10.

According to the 'Law of Sines- Ambiguous Case', we have,

If a < b×sinA, then no triangle is possible.

If a = b×sinA, only one triangle is possible

If a > b×sinA, two triangles are possible.

So, we have,

b×sinA = 10 × sin30 = 10 × 0.5 = 5.

Now, as

4 = a < bsinA = 5.

We get, according to the rule, no triangle is possible.

8 0
2 years ago
Does anyone know this
Arturiano [62]

Answer:

C

Step-by-step explanation:

Option C is the correct answer.

8 0
3 years ago
Simplify 11(3t+2)-4(2t-1​
Ksenya-84 [330]

The answer to the question is 25t+26

6 0
2 years ago
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