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3 years ago

Someone please help me with this, thank you!!

Mathematics

1 answer:

BaLLatris [955]3 years ago

7 0

Answer:

x = 14.42

Step-by-step explanation:

$x^2+9^2=17^2\\x^2+81=289\\x^2=208\\\sqrt{x^2} =\sqrt{208} \\x= 14.42$

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Which of the following types of statements can justify the steps of a proof?

Bond [772]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

You get paid \$14.50$14.50 an hour at your job and the newest video game costs \$85.00$85.00. Find the inequality that repr

Zielflug [23.3K]

Answer:

14.50x > 85

Step-by-step explanation:

14.50x > 85

divide both sides by 14.5

x>85/14.5 = 5.86 hours

x has to be greater than 5.86 hours

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2 years ago

En una hoja de papel cuyo perímetro es de 96 centímetros, se quiere imprimir un volante de manera que el área impresa sea un rec

elixir [45]

Answer:

El perímetro de la región impresa es 72 cm y su área es 288 cm².

Step-by-step explanation:

1. Tenemos el perímetro de la hoja de papel:

P₁ = 96 cm = 2l₁ + 2a₁ (1)

Como sabemos el margen superior, inferior, izquierdo y derecho podemos encontrar la relación entre el largo y ancho del rectángulo interno (región impresa) con el largo (l) y ancho (a) del rectángulo externo (hoja de papel):

$l_{2} = l_{1} - (m_{s} + m_{i}) = l_{1} - (3 cm + 2 cm) = l_{1} - 5 cm$ (2)

$a_{2} = a_{1} - (m_{d} + m_{iz}) = a_{1} - (2 cm + 5 cm) = a_{1} - 7 cm$ (3)

El perímetro del rectángulo interno es:

$P_{2} = 2l_{2} + 2a_{2}$ (4)

Introduciendo la ecuación (2) y (3) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2(l_{1} - 5 cm) + 2(a_{1} - 7 cm) = 2l_{1} + 2a_{1} - 10 cm - 14 cm = 96 cm - 24 cm = 72 cm$

Por lo tanto el perímetro del rectángulo interno (región impresa) es 72 cm.

2. Ahora para encontrar el área rectángulo interno debemos encontrar el largo y ancho del mismo, sabiendo que:

$l_{2} = 2a_{2}$ (5)

Introduciendo (5) en (4):

$P_{2} = 2l_{2} + 2a_{2} = 2*2a_{2} + 2a_{2} = 6a_{2}$

$a_{2} = \frac{P_{2}}{6} = \frac{72 cm}{6} = 12 cm$

$l_{2} = 2a_{2} = 2*12 cm = 24 cm$

Entonces el área es:

$A_{2} = l_{2}*a_{2} = 12 cm*24 cm = 288 cm^{2}$

Por lo tanto el área del rectágulo interno (región impresa) es 288 cm².

Espero que te sea de utilidad!

7 0

3 years ago

A car is traveling at 70 miles per hour on the highway. Which equation could you use to calculate the distance, d, the car trave

slamgirl [31]

Answer:

d = 70t

Step-by-step explanation:

The units of speed tell you how to write the equation.

speed = miles/hour

Multiplying by hours gives ...

speed · hours = miles

Using the required variables and the given speed, you have ...

70t = d . . . . . time in hours, distance in miles

4 0

3 years ago

Identify the reason that justifies the statement.

Amiraneli [1.4K]

Answer:

C; Substitution property

Step-by-step explanation:

Here, we want to find the justification that justifies the written equation;

If PQ + RS = PS

and RS = XY

then PQ + XY = PS

What we simply did is to substitute RS for XY in the second equation;

The correct answer is Substitution property

It can be fully referred to as the substitution property of equality.

What it simply means in a nut shell is that since XY and RS are equal, then in any addition or arithmetic equation, we can make a substitution of XY for RS since they are equal to each other

5 0

3 years ago