Hi there!
Triangle OBC is a right triangle. This is because where the radius and the tangent meet creates a right angle. A right angle is created due to the theorem that states that a radius is perpendicular to its tangent.
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9514 1404 393
Answer:
x ≈ -4.9
Step-by-step explanation:
There are no algebraic methods for solving this equation. The solution is nicely found by a graphing calculator.
x ≈ -4.9
_____
Using iterative techniques, the calculator can give an answer to the full precision available. It is ...
x ≈ −4.91733286844
Answer:
53 gallons of fuel
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)

Step 2: Divide the given values (The given values are 10 over 250. We are doing this because we need to know the difference between those two figures.) (Trick: For this case, all you need to do is cancel both zeros and the answer is 0.04 once divided)

Step 3: Multiply the result to the last value (Since we've found the difference between them by division, we will have to do the <em>opposite operation </em>in order to find the answer.)

Therefore, 53 is the amount of gallons of fuel needed.
Answer:
Intersecting
Step-by-step explanation:
See the picture with letters attached to better understand the problem
we know that
in the right triangle ABC
AB=BC----------> by angle 45°
AC²=AB²+BC²-----> AC²=(√2)²+(√2)²----> AC²=4-----> AC=2
in the right triangle ACD
tan 60°=y/AC--------> y=AC*tan 60°-----> y=4*tan 60°----> y=4√3
the answer isy=4√3