Find the value of x. Round to the nearest tenth.

1) x = 20. 8

2) x = 42.3

3) x = 13.0

4) x = 42.1

Step-by-step explanation:

1) Use Sine

(Sine = ) Sine 53 =

(sine of 53 is 0.80) 0.80 =

(multiply 26 on both sides) 0.80 x 26 = x 26

(solve) 20.8 = x

2) Use Tan

(Tan = ) Tan 78 =

(tan of 78 is 4.70) 4.70 =  

(multiply 9 on both sides) 4.70 x 9 =   x 9

(solve) 42.3 = x

3) Use Cosine

(Cosine = ) Cos 22 =

(cos of 22 is 0.93) 0.93 =

(multiply 14 on both sides) 0.93 x 14 = x 14

(solve) 13.02 = x

(round to the nearest tenth) 13.02 = 13.0

4) Use tan

(Tan = ) Tan 39 =

(tan of 39 is 0.809) 0.809 =

(multiply 52 on both sides) 0.809 x 52 = x 52

(solve) 42.068 = x

(round to the nearest tenth) 42.068 = 42.1

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)