---------------------------------------------------------------------------------------- Apply the formula ---------------------------------------------------------------------------------------- 20² + 13.5² = c² c² = 400 + 182.25 c² = 582.25 c = √582.25 c = 24.1 (nearest tenth)
--------------------------------------------------------------------------------------- Answer: The distance between the two ships is 24.1 km ----------------------------------------------------------------------------------------
If you would illustrate the problem, you will be able to
formulate a triangle with the measurement of the hypotenuse (distance between
the two shops) to be missing. Using the Pythagorean Theorem, the formula to
compute for the hypotenuse is:
c = √a^2 + b^2
c = √(20)^2 + (13.5)^2
c = √400 + 182.25
c = √582.25
c = 24.13 km
Therefore, the distance between the two shops
is approximately 24.13 km.
SOH,CAH, TOA so it would be TANGENT since it would be Opposite over Adjacent. Tan(15) = 9/a put Tan(15) onto your calculator it would be .267949 round that to .27 = 9/a cross multiply a = 33.588. C is the correct answer.
The probability that student scored more than 850 we shall proceed as follows: z=(x-μ)/σ where: x=850 μ=750 σ=50 thus z=(850-750)/50 z=2 thus P(x>850)=1-P(x<850)=1-P(z<2)=1-0.9772=0.0228