Answer:
50+90+3x+1=180.....................
Using the law of cosines:
The grocery store to the school:
Distance = √(7^2 + 10^2 - 2*7*10*cos(100)
Distance = 13.16 miles
The movie store to the school:
Distance = √(7^2 + 10^2 - 2*7*10*cos(120)
Distance = 14.80 miles
The friend is further away.
Answer:
x +4
Step-by-step explanation:
The trinomial x² +8x +16 is a perfect square trinomial, so factors as ...
x² +8x +16 = (x +4)²
Assuming the side length is one of the factors of the given area, it will be ...
side length = (x +4)
Answer:
Option 2: 
Step-by-step explanation:
Given:
From the triangle shown below;
A triangle QRS with angle QRS = 90°, ∠QSR = 30°.
Side QR = 5, SQ = 10 and RS = 5√3
Now, we know from trigonometric ratio that,

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

Therefore, the value of sine of 30° is one-half. So, second option is correct.