7/9 = 0.777777
8/11 = 0.727272
0.79
84% = 0.84
4/5 = 0.8
8/11, 7/9, 0.79, 4/5, 84%
Answer:
3. isosceles, acute
5. scalene, obtuse
Step-by-step explanation:
3. Two (and only two) sides are the same length (and their opposite angles are the same measure), so the triangle is isosceles. All angles are less than 90°, so the triangle is acute.
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5. All angles have different measures, so the triangle is scalene. The largest angle is greater than 90°, so the triangle is obtuse.
Y(initial) = 9
V(initial) = 168
V(final) = 0
g(accel-grav) = 32 (in feet per second
squared)
Use the following equation:
V(final) = V(initial) + a(t)
Since this object is moving straight up and
down, a = -32
Enter the knowns into the equation
0 = 168 - 32t
32t = 168
t = 168/9.8
t = 5.25
Now that you know the time it takes to
reach it's maximum, use the general
kinematics equation to solve for final
distance:
y(final) = y(initial) + V(initial)(t) + (1/2)a
(t²)
y(final) = 9 + 168(5.25) + (1/2)(-32)
(5.25²)
= 9 + 882 - 441
= 450 feet
