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3 years ago

Identify the value of x that makes each pair of ratios equivalent. 2:x and 12:18

1 answer:

4 0

Alright, so in this you're going to want to set the ratios equal as follows:

2/12 = x/18
Therefore by cross-multiplying:
2*18 = 12x
36=12x
36/12=x
x=3

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What is the exact value of tan 30° ? enter your answer, as a simplified fraction, in the box?

attashe74 [19]

In this question , we have to find the value of tan 30 and we need to write the answer in simplified form .

$tan x = \frac{sin x}{ cos x}$

Substituting the values of sin (30) and cos(30, we will get

$tan (30) = \frac{1/2}{ \sqrt{3} /2}$

Multiplying both numerator and denominator by 2, we will get

$tan(30 ) = \frac{1}{ \sqrt3}$

TO simplify it, we need to multiply both numerator and denominator by square root 3.

$tan(30) = \frac{ \sqrt 3}{ \sqrt3 * \sqrt 3} = \frac{ \sqrt 3}{3}$

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Semmy [17]

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2 years ago

1608.5 rounded to the nearest tenths place

denis23 [38]

Answer:1608.5

Step-by-step explanation:

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2 years ago

Which sign makes this statement true

Vesna [10]

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The = sign

Step-by-step explanation:

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3 0

3 years ago

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Si un rectángulo con perímetro de 74 pulgadas tiene un largo de 5 pies más que el ancho,

baherus [9]

Perímetro del rectángulo = 74 pulgadas

Deje que el ancho del rectángulo sea 'x'.

Entonces, la longitud de este rectángulo = x + 5

We know that :

$\color{hotpink}\tt \: Perímetro \: del \: rectángulo =\color{plum} 2 × (l + b)$

Lo que significa :

$=\tt 2(x + x + 5) = 74$

$=\tt 2(2x + 5) = 74$

$=\tt 4x +10 = 74$

$=\tt 4x = 74 - 10$

$=\tt 4x = 64$

$=\tt x = \frac{64}{4}$

$\color{plum} =\tt x = 16$

Por lo tanto, el ancho de este rectángulo = 16 pulgadas

Entonces, la longitud de este rectángulo :

$=\tt x + 5$

$= \tt16 + 5$

$\color{plum} =\tt 21 \: pulgadas$

La longitud de este rectángulo = 21 pulgadas

<h2>Por lo tanto :</h2>

● Longitud del rectángulo = <em>21 pulgadas</em>

● Ancho del rectángulo = <em>16 pulgadas</em>

3 0

3 years ago