Answer:
A
Step-by-step explanation:
In a right triangle, the side opposite to the 90 degree angle (here, side opposite to angle A) is known as the hypotenuse.
Also, the side that is "opposite" to the angle given (here side opposite is y to angle given 30 degrees) is the opposite side.
Since we want to find "opposite" and have "hypotenuse" , recalling trig ratios, we can say opposite/hypotenuse is the ratio SINE, so we can write:
We solve for y:
Since the answer choice has angles in radians, we recall 30 degrees is radians.
Thus, the correct answer is , or option A
Answer:
x=2 and y=−6
sorry this is pretty long, I did not know if you needed the steps or not
Step-by-step explanation:
−2y−10=x;−10x−y=−14
Solve−2y−10=x for x
−2y−10=x
−2y−10+−x=x+−x
−x−2y−10=0
−x−2y−10+2y=0+2y
−x−10=2y
−x−10+10=2y+10
−x=2y+10
-x/-1=2y+10/-1
x=−2y−10
Substitute−2y−10 for x in−10x−y=−14
−10x−y=−14
−10(−2y−10)−y=−14
19y+100=−14
19y+100+−100=−14+−100
19y=−114
19y/19=-114/19
y=-6
Substitute−6 for y in x=−2y−10
x=−2y−10
x=(−2)(−6)−10
x= 2
x=2 and y=−6
Multiply the dimensions by 3 to convert to feet.
12 x 3 = 36 ft.
15 x 3 = 45 ft.
the dimensions are 36 ft. x 45 ft.
0, I put y=(0-7)x into a graphing calculator