Answer:
- After 4 seconds the height is 480 meters.
- The maximum height is 484 meters.
- The ball hits the ground after 10 seconds
Step-by-step explanation:
The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480
The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484
To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.
Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.
Answer:
a = (4/3)b
Step-by-step explanation:
The governing equation here has the form y = kx, where k is the constant of proportionality.
Let's rewrite that as a = kb, and then substitute -4 for a and -3 for b:
-4 = k(-3), or k = 4/3
Then a = (4/3)b
Answer:
the answer is 0.6
Step-by-step explanation:
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Since 3 1/6 is only 1/3 of what he is watering, you can multiply the 3 1/6 by 3 to find your answer
9 1/2 should be your answer.
First you multiply the whole number by 3
3x3 = 9
Now we multiply the fraction
1/6 x 3 = 1/2 because we multiply the 1 on top. 3x1 = 3 and 3/6 is reduces to 1/2
Answer:
81°
Step-by-step explanation:
By the outside angle theroem, we know that 2 * angle APC is differece of arcs DC and AB.
Angle APC = 27° so the difference is 54°
Arc DC = 27°, so Arc AB = 27° + 54° or 81°.
