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Mama L [17]
4 years ago
12

A right triangle has side lengths 4 units, 5 units, and x units what is the difference between the difference values of x?

Mathematics
1 answer:
irina [24]4 years ago
6 0

Use the Pythagorean theorem.

If x is a hypotenuse, then we have:

x^2=4^2+5^2\\\\x^2=16+25\\\\x^2=41\to x=\sqrt{41}

If x is a leg, then we have:

x^2+4^2=5^2\\\\x^2+16=25\ \ \ \ |-16\\\\x^2=9\to x=\sqrt9\to x=3

Answer: \sqrt{41}-3

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Un terreno ha sido cultivado con tres variedades de claveles. La sexta parte ha sido sembrada por
Minchanka [31]

Answer:

1) Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos, 2) Se siembra siete doceavas partes del terreno con claveles blancos.

Step-by-step explanation:

El enunciado se encuentra incompleto. La pregunta faltante es:

2 ¿Qué parte del terreno corresponde a los claveles blancos?

1) Sea A el área total sembrada con los tres tipos de claveles. Entonces, las áreas sembradas con claveles rojos y claveles amarillos son \frac{1}{6}\cdot A y \frac{1}{4} \cdot A, respectivamente.

El área sembrada con claveles rojos y amarillos se obtiene al sumar las áreas correspondientes, es decir:

x = \frac{1}{6}\cdot A + \frac{1}{4}\cdot A

x = \left(\frac{1}{6}+\frac{1}{4}\right)\cdot A

x = \left(\frac{4+6}{24} \right)\cdot A

x = \frac{10}{24}\cdot A

x = \frac{5}{12}\cdot A

Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos.

2) El área sembrada con claveles blancos se obtiene al sustraer el área obtenida en el punto anterior del área total. Esto es:

x = A - \frac{5}{12}\cdot A

x = \left(1-\frac{5}{12} \right)\cdot A

x = \left(\frac{12}{12}-\frac{5}{12}  \right)\cdot A

x = \left(\frac{12-5}{12} \right)\cdot A

x = \frac{7}{12}\cdot A

Se siembra siete doceavas partes del terreno con claveles blancos.

8 0
4 years ago
Chaleah deposited $900 in a new account that earns 6% simple interest. After 2 years, how much interest will she have earned?
nikklg [1K]

Answer:

$108

Step-by-step explanation:

<u>Use the equation i = prt </u><u>(interest = principle*rate*time)</u><u>:</u>

Principle: $900

Rate: 0.06 (6%)

Time: 2 years

<u>Put it all in an equation:</u>

i = 900*0.06*2

i = $108

3 0
3 years ago
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Answer:

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