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2 years ago

If tan x° = a divided by 4 and cos x° = 4 divided by b what is the value of sin x°? (1 point) \

Mathematics

1 answer:

Rudiy272 years ago

3 0

Answer:

Sin x = a / b.

Step-by-step explanation:

The opposite side =a and the adjacent side = 4 (because tan x = a/4.

Cos x = 4/b so the hypotenuse = b ( because Cos = adjacent /hypotenuse.

So sin x = opposite /hypotenuse = a / b.

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Find the slope of the line y=1/6+3/2

iragen [17]

Answer:

1/6 if you meant to put an X afterwards. If not, there is no slope.

Step-by-step explanation:

6 0

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

2 years ago

Trapezoid PQRS is rotated 180 degrees about the origin to form trapezoid P'Q'R'S

kirill115 [55]

Answer:

The angle measures of trapezoid PQRS are equal to the corresponding angle measures of trapezoid P'Q'R'S'.

Step-by-step explanation:

3 0

3 years ago

How to simplify integers

lina2011 [118]

I don't think that you can. Integers are either positive or negative real numbers without decimals, so there isn't anything to simplify.

8 0

3 years ago

The difference of the squares of two consecutive integers is 21. find the integers.

photoshop1234 [79]

Let the two integers be x and x+1
(x+1)^2-x^2=21
x^2+2x+1-x^2=21
2x+1=21
2x=20
x=10
then x=10, x+1
10+1=11
the two integers are 10, 11

4 0

3 years ago