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nevsk [136]
3 years ago
12

The heat developed in an electric wire varies jointly as the wires resistance, the time the current flows, & the square of t

he current. In two minutes a current of 5 amps develops 1,200 heat units in a wire with a current of 10 amps in 5 minutes?
Mathematics
1 answer:
never [62]3 years ago
5 0

Answer:

4 ohms

Step-by-step explanation:

The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"

Current, I₁ = 5 A

Heat, Q₁ = 1200 units

Resistance, R₁ = 8 ohms

Time, t₁ = 2 min = 120 s

New heat, Q₂ = 6000 units

Current, I₂ = 10 A

New time, t₂ = 5 min = 300 s

We need to find the new resistance.

Heat developed is given by :

Q=I^2Rt

\dfrac{Q_1}{I_1^2R_1t_1}=\dfrac{Q_2}{I_2^2R_2t_2}\\\\R_2=\dfrac{Q_2\times I_1^2R_1t_1}{Q_1I_2^2t_2}\\\\R_2=\dfrac{6000\times 5^2\times 8\times 120}{1200\times 10^2\times 300}\\\\=4\ \Omega

So, the new resistance is 4 ohms.

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Hunter is bisecting the angle shown. When drawing the arcs centered on points P and Q, why must he keep the compass the same wid
S_A_V [24]

Answer:

The arcs are drawn to find a point on the bisecting ray. If the arcs are the same width, it makes sure that they are equidistant from the points on the rays of the angle. This causes the point to be on the bisecting ray.

Step-by-step explanation:

Bisection of an angle implies dividing the angle into two equal parts. The ray that divides the angle is called a bisector.

The hunter should use the same radius or width to draw the two arcs, using points P and Q as the center interchangeably, so that they would intersect at an equidistant point to P and Q. The point of intersection lies on the bisecting ray of the angle.

7 0
4 years ago
Patricia compró 10 estampillas de correos unas de $3.00 y otras de $1.00. Si pago con $18.00 en total. ¿Cuántas pago por cada un
Ganezh [65]

Answer:

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

Step-by-step explanation:

Cuatro estampas de tres dolares cada una es:

3 × 4 = 12

Ahora necesitamos encontrar  cuantas estampas mas Patricia puede comprar. Podemos hacer esto restando 12 a 18, que es el costo total de las estampas menos del valor encontrado

18 - 12 = 6

Ahora sabemos que Patricia necesita 6 dolares de estampas ($1 estampas) para acompletar las 10 estampas  dando un total de $18 dolares.

6 × 1 = 6 < sumar 6 de 12

12 + 6 = 18

Entonces Patricia necesitara 4 estampas de $3 dolares y 6 estampas de $1 dolar

6 0
4 years ago
Riya got 10 correct answers and ten incorrect answers. what is her score if each correct answer is awarded with 3 marks and each
Natasha2012 [34]

Answer:

20

Step-by-step explanation:

Riyas score = ( correct answer × mark) + ( incorrect answer × mark lost )

= ( 3× 10) + ( -1 ×10 )

= 30 -10

=20

5 0
4 years ago
A(n) _____ is a statement whose proof can be deduced directly from a previous theorem. auxiliary line remote interior angle coro
bekas [8.4K]

Answer:

The words in order are:

  • corollary
  • obtuse
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Step-by-step explanation:

A corollary is a quick conclusion of a theorem. The proof of a corollary is rather short, compared to the proofs of theorems and other propositions. For example, if you consider the theorem "the area of a circle of radius r is πr²" then an inmediate corollary is "the area of a semicircle of radius r is πr²/2".

Triangles can be classified according to their interior angles. The three types of triangles are acute, right and obtuse. Obtuse triangles are those that have an inner obtuse (>90°) angle. Right triangles have an inner right (=90°) angle, and acute triangles have 3 acute (<90°) inner angles.

Similarly, triangles can be classified according to their sides, as equilateral, isosceles and scalene. Equilateral triangles have all their 3 congruent sides, isosceles triangles have at least 2 congruent sides, and scalene triangles have no congruent sides.

8 0
3 years ago
_6. How is the graph of y = 3x2 + 3 different from the graph of y = 3x2?
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Answer:

c

Step-by-step explanation:

7 0
3 years ago
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