Answer:
The distance from the ship to the dock is approximately 5.24 miles
Step-by-step explanation:
From the parameters given in the question, we have;
The angle formed between the dock and the lighthouse = 70°
The angle formed between the dock and the lighthouse at the ship = 80°
The distance between dock and the lighthouse = 5 miles (From a similar question online)
By sine rule, we have;

Therefore, we have;



Therefore;
The distance from the ship to the dock ≈ 5.24 miles
This is a perfect square trinomial. All of these special cases take this form which you can identify: a²+2ab+b².
x^2 - 8x +16 equals (x-4)²
answer: (x-4)²
Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in
ratios give
h = 7(8)/8
h = 7
b = 8/2
b = 4
Area Triangle = 0.5(7)(4)
= 14
Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²
Answer: a. (x-6) + 5x = 90 b. Angle One = 10° Angle Two = 80°
Step-by-step explanation:
A. Since angle 1 plus angle 2 is a right angle, then their sum is 90 degrees. The equation form angle 1 is x-6 and the equation for angle 2 is 5x, so (x-6) + 5x = 90
B. To find x,
x - 6 + 5x = 90
x + 5x = 96
6x = 96
x = 16
So, angle one = (16) - 6 = 10° and angle two = 16 * 5 = 80°
-17 is fifty more positive than -67 (hope this help)