Answer:
The practice field is 144 feet long.
Step-by-step explanation:
360 x 2/5 = 144
(You would multiply these numbers NOT divide!)
To check my math:
2/5 = 0.4
144/360 = 0.4
By doing the above check, I know the two equations are the same. By seeing this I can know that the answer is correct.
Answer:
The final depth of Melissa is 14 meters below the surface
Step-by-step explanation:
In this kind of problems, involving directions, etc, usually one position is the positive direction and the other position is the negative direction.
In our problem, we suppose that the surface is the positivo zero, above the surface is the positive position(positive depth) and below the surface is the negative directions(negative depth).
The problem states that Melissa is 29 meters below the surface. So, her initial position is 29 meters in the negative direction, so it is equal to -29.
Then, the problem states that Melissa rises upward 15 meters. Upward is the positive direction, so she moved to the positive direction. It means that we are going to do -29+15 = -14 meters.
It means that the final depth of Melissa is 14 meters below the surface
Each month the new total you be
initial amount * 1.024
Repeating the process for a year (=12 months) you get
initial amount * 1.024^12
Being initial amount = $100
100*1.024^12 = $132.92
After 1 year you will have $132.92
Answer:
{- 1, 0, 4 }
Step-by-step explanation:
the range is the y- coordinates of the plotted points
the coordinates of the points are
(- 4, - 1 ) , (1, 0 ) , (1, 4 ) with y- coordinates - 1, 0, 4
then range is { - 1, 0, 4 }
Answer:
x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}
Step-by-step explanation:
The equation can be put into standard form by adding 1:
2cos²(x) +3cos(x) +1 = 0
(2cos(x) +1)(cos(x) +1) = 0
Values of cos(x) that make this true* are ...
cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3
cos(x) = -1 . . . . . . . . . . . true for x=π
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A graphing calculator can be helpful here, too.
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* from your knowledge of the short table of trig functions and their signs in different quadrants
