Answer:
3.5% of 20, (0.035)*20, and 7% of 10
Step-by-step explanation:
Converting the mixed number (3 1/2) to a decimal yields 3.5, so 3.5% of 20 is correct.
3 1/2 is not equal to 3 1/2%, so 3 1/2 * 20 is not correct.
Converting the percentage to a decimal yields .035 which makes .35 too large, so (0.35) * 20 is not correct.
Changing the percentage to a decimal yields .035, so (0.035) * 20 is correct.
If you divide 20 by 2, you get 10, and if you multiply 2 by 3 1/2, you get 7. The 2 remains part of the expression, so it is equal to 3 1/2 of 20.
Answer:
10
Step-by-step explanation:
Ground level is where h = 0, so solve the equation ...
h(x) = 0
-5(x -4)^2 +180 = 0 . . . . substitute for h(x)
(x -4)^2 = 36 . . . . . . . . . . divide by -5, add 36
x -4 = 6 . . . . . . . . . . . . . . positive square root*
x = 10 . . . . . . add 4
The object will hit the ground 10 seconds after launch.
_____
* The negative square root also gives an answer that satisfies the equation, but is not in the practical domain. That answer would be x = -2. The equation is only useful for time at and after the launch time: x ≥ 0.
Answer:
<h2><u><em>
x = 69°</em></u></h2><h2><u><em>
V = 103°</em></u></h2>
Step-by-step explanation:
the sum of the interior angles in a triangles is 180°, take away from 180 the know angles (34° and 77°) and you will have your answer
180 - 34 - 77 = 69°
Now we find angle V
The angle V and the angle of 77 ° are on a straight line, so the sum is 180°, from 180° you subtract 77 ° and you have the value of V
180 - 77 = 103 °