Answer:
s = height above ground
s = 60 + 20 t - 4.9 t^2 (standard physics equation on earth)
at t = 0
s = 60 (clearly :)
now when does it hit the bleak earth?
That is when s = 0
4.9 t^2 - 20 t -60 = 0
solve quadratic and use the positive t (the negative t was back before you threw it if you had thrown it from the ground)
t = 6.09 or - 2.01
use t = 6.09
now to do the last part there are two obvious ways to get t at the peak
1. look for vertex of parabola
2. look for halfway between t = -2.01 and t = 6.09
I will do it the hard (11) waay by completing the square
4.9 t^2 - 20 t = -(s-60)
t^2 - 4.08 t = -.204 s + 12.2
t^2 - 4.08 t +2.04^2 = -.204 s +12.2 + 4.16
(t-2.04)^2 = -.204(s-80.2)
so
top at 80.2 meters at t = 2.04 s
===============
quick check on time
should be average of 6.09 and -2.01
=4.08 /2 = 2.04 check
Hello there,
best way to do this one is set up your story line....
4h + 8h + 50 = 164$...
let's make this easier to look at and combine like terms..
12h + 50 = 164$...
Beautiful!!! Now let's try and get the h alone?...
minus 50 to both sides...
12h = 114$..
now divide both sides by 12...
H= 9.50$/hour
Looks like you made 9.50$ an hour but Hey, at least you got that bonus ;)
Answer:
A. It provides carbon monoxide to help plants grow.
Step-by-step explanation:
The only incorrect option is that carbon monoxide is required by plant, but the correct statement would be carbon dioxide is required my plants, for its growth, which helps to perform the process of photosynthesis.
The rest of the statements are correct.
As, the atmosphere acts as a blanket, which protects the earth from the harmful rays of the sun.
And, atmosphere constitute of various gases, which enables the living organisms to breath.
And, the atmosphere protects from any meteors entering from space.
Answer:
The answer I got is 4 2/5.
Step-by-step explanation: 2/5 divided by 1/5 is 2. 4/5 divided by 1/3 is 2 2/5. 2 plus 2 2/5 is 4 2/5.
Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
