Gracie’s pool is circular with a diameter of 30 feet and height of 6 feet. How much water can the pool hold?
1 answer:
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Answer:
Solution: , 3.5, -15, 5
Not a solution: 129 and
Step-by-step explanation:
20 ≥ 5 + 3x
3x + 5 ≤ 20
3x ≤ 20 - 5
3x ≤ 15
x ≤ 5
x must be LESS than or EQUAL to 5
Now, the cosecant of θ is -6, or namely -6/1.
however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.
we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now
recall that
therefore, let's just plug that on the remaining ones,
now, let's rationalize the denominator on tangent and secant,
however, the cosecant is really the hypotenuse/opposite, but the hypotenuse is never negative, since is just a distance unit from the center of the circle, so in the fraction -6/1, the negative must be the 1, or 6/-1 then.
we know the cosine is positive, and we know the opposite side is -1, or negative, the only happens in the IV quadrant, so θ is in the IV quadrant, now
recall that
therefore, let's just plug that on the remaining ones,
now, let's rationalize the denominator on tangent and secant,