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3 years ago

What is the value of x in the diagram below?

Mathematics

1 answer:

otez555 [7]3 years ago

8 0

The cosine of 30° is √3 / 2.

Since cosine is Adjacent over Hypotenuse, Hypotenuse = (2 / √3) * 9 = 18 / √3.

The cosine of 45° is √2 / 2.

Therefore, X = (2 / √2) * (18 / √3) = 36 / √6 = 18 / √1.5 = C

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Which of the following is an extraneous solution of the square root of -3x-2=x+2

yarga [219]

Answer:

x=-6 is an extraneous solution

Step-by-step explanation:

we have

$\sqrt{-3x-2} =x+2$

squared both sides

$-3x-2=(x+2)^2$

$-3x-2=x^2+4x+4$

$x^2+7x+6=0$

solve the quadratic equation by graphing

The solution is x=-6 and x=-1

see the attached figure

Verify each solution

substitute the value of x in the original expression

For x=-6

$\sqrt{-3(-6)-2} =-6+2$

$\sqrt{16} =-4$

$4=-4$ ----> is not true

Is an extraneous solution

For x=-1

$\sqrt{-3(-1)-2} =-1+2$

$\sqrt{1} =1$

$1=1$ ----> is true

Is the solution

4 0

3 years ago

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olga2289 [7]

Answer : -89

Explanation: 10 times -7 is -70. -70 minus 19 is -89.

3 0

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Can sides of a triangle have lengths 1, 13, and 14 ???

victus00 [196]

Answer: Yes it can!

Step-by-step explanation:

This is called a scalene triangle, where all 3 sides are different lengths.

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3 years ago

Which of the following numbers is rational? A. 4/5 B.√27 C.4.020020002000002.... D.√31

koban [17]

Hey buddy its easy
Answer is C part

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GenaCL600 [577]

Answer:

$2\ hours$

Step-by-step explanation:

To know the hours of flight, subtract the departure time from the arrival time

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