9514 1404 393
Answer:
23.2 mi/h at N 7.4° W
Step-by-step explanation:
The velocity vectors of the woman and the ship form the legs of a right triangle. The hypotenuse of that triangle is the vector representing the woman's speed relative to the water.
The magnitude of the resultant velocity can be found using the Pythagorean theorem.
r = √(3² +23²) = √538 ≈ 23.2
The given vectors are adjacent and opposite the angle of interest, so the tangent relation applies.
Tan = Opposite/Adjacent
tan(α) = 3/23
α = arctan(3/23) ≈ 7.4°
The woman's speed relative to the water is about 23.2 mi/h. Her direction is about 7.4° west of north.
Answer:
3.5 hours
Step-by-step explanation:
8.75/2.5=3.5
No solution because if you distribute -4 to both 2.5y and -3.25 your equation becomes -10y+13-15 1/4=-10y. Then you subtract both 13 and 15 1/4 and get -2.25 so your equation becomes -10y-2.25=-10y. After that you add 10y to both side so your equation becomes -2.25=0 which has no solution.
Answer:
The values for a, b c are:
a = 1
b = -4
c = 12
Step-by-step explanation:
In order to make it in standard form we need to swap the "-12" to the left side. When we swap numbers from one side to the other of an equation we need to invert their operation so the equation will still be valid, so in this case the number "-12" will go to the left side as "+12". We have:
x² - 4x + 12 = 0
The values for a, b c are:
a = 1
b = -4
c = 12
