To the nearest hundredth, what is the value of x?

42.16
43.11
52.07
54.26

52.07

Step-by-step explanation:

We know that the sin of an angle is equal to the opposite side divided by the hypotenuse

sin  51 = opposite side/ hypotenuse

sin 51 = x/67

Multiply each side by 67

67 sin 51 = x

52.06877942=x

To the nearest hundredth

52.07 =x

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)

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊