Answer:
Step-by-step explanation:
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The estimated quotient of the division is 83.
In mathematics, a quotient is a quantity created by the division of two integers (from the Latin quotients, meaning "how many times").
- The term "quotient" is used frequently in mathematics, and it can also refer to a fraction or a ratio as well as the integer portion of a division (in the case of Euclidean division)(in the case of proper division).
- For instance, the quotient in the sense of Euclidean division is "6 with a remainder of 2" when 20 (the dividend) is divided by 3 (the divisor).
- The most common way to represent the quotient is as two integers or two variables split by a horizontal line.
- The terms "dividend" and "divisor" relate to each component separately, whereas "quotient" describes the entire thing.
Now let us divide 4234 by 51.
4234 ÷ 51 = 83.019...
Therefore the quotient is 83
4234 divided by 51 gives quotient 83 and remainder 1 .
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A=6d-g because to be able to get the 6 on the other side you have to multiply 6 on both sides. Then you would have to subtract g to get it on the other side. This causes the gs on the original side to eliminate
Answer:
2.908 s
Step-by-step explanation:
The "work" is most easily done by a graphing calculator. We only need to tell it the equation of motion.
For speeds in feet per second, the appropriate equation for vertical ballistic motion is ...
h(t) = -16t² +v₀t +s₀
where v₀ is the initial vertical velocity in ft/s and s₀ is the initial height in feet. The vertical velocity is the vertical component of the initial velocity vector, so is (65 ft/s)(sin(44°)). We want to find t for h=0.
0 = -16t² +65sin(44°) +4
Dividing by -16 gives ...
0 = t^2 -2.82205t -0.2500
Using the quadratic formula, we find ...
t ≈ (2.82205 ±√(2.82205² -4(1)(-0.25))/2 ≈ 1.41103 +√2.24099
t ≈ 2.90802
It will take about 2.908 seconds for the discus to reach the ground.
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<em>Comment on the question</em>
You're apparently supposed to use the equation for ballistic motion even though we know a discus has a shape that allows it to "fly". It doesn't drop like a rock would.
All you have to do is find the square root of the area because the area is the side length squared.
square root of 144 = 12
So a side length is 12
