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kakasveta
14 days ago
14

The label on the car's antifreeze container claims to protect the car between −40°C and 140°C. To covert Celsius temperature to

Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
Mathematics
1 answer:
PIT_PIT [9.1K]14 days ago
4 0
The compound inequality for the temperature range protected by antifreeze is -40 < t < 284. Antifreeze operates effectively from −40°C to 140°C. By using 't' for temperature, the range in Celsius can be established as -40 < t < 140. The conversion formula for Celsius to Fahrenheit allows us to find the corresponding Fahrenheit temperatures for these Celsius values.
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Al establecer un sistema de ecuaciones lineales, se determina que el total de obreros que contrató el ingeniero civil es 50.

Para descubrir cuántos obreros fueron contratados, se debe formular un sistema de ecuaciones lineales con dos ecuaciones y dos incógnitas, de la siguiente manera:

M - 1400*x = -8000   (1)

M - 1200*x = 2000   (2)

Donde:

M: representa la incógnita correspondiente al capital del ingeniero

x: simboliza la incógnita que denota el total de obreros

De la ecuación (1) podemos deducir:

M = 1400*x - 8000   (3)

Utilizando la ecuación (3) en la ecuación (2) podríamos calcular el valor de x (número de obreros):

1400*x - 8000 - 1200*x = 2000

200*x = 10000

x = 50

El monto inicial del ingeniero, según la ec (3), sería:

M = 1400*50 - 8000 = 62000

Por lo que, el número de obreros contratados por el ingeniero es 50.

Si quieres conocer otro método para resolver sistemas de ecuaciones lineales, puedes ingresar aquí:

                                                                                         

Espero que esto te ayude!

8 0
22 days ago
Erika is writing a coordinate proof to show that the diagonals of a rectangle are congruent. She begins by assigning coordinates
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Answer:

Option C is the right choice.

Step-by-step explanation:

The given coordinates define a rectangle, and our objective is to show that the diagonals JL and KM are congruent.

We know that rectangles possess four right angles.

To prove the congruence of the diagonals JL and KM, we will utilize the Pythagorean theorem.

In triangle KLM, KL has a length of b units while LM has a length of a units. By applying the Pythagorean theorem \sqrt(a^{2}+b^{2})=KM

In triangle JML, JM is b units long, and LM remains a units long. We again can apply the Pythagorean theorem \sqrt(a^{2}+b^{2})=JL

Thus, we find that \sqrt(a^{2}+b^{2})=KM=LM and option C is the correct choice.

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1. Calculate 10% of 250 (250 × 0.10 = 25)
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Answer:

II AB = CD

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