24 quarts equals to 6 gallons
Answer:
Step-by-step explanation:
The relevant relation is that the product of distances from the point of intersection of secants to the two points of intersection of each with the circle is a constant. The point of tangency counts as both points of intersection.
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By way of example, the product of distances to the circle for the tangent segment is 10·10 = 100
This is also the product of the distances on the secant that intersects the tangent:
100 = 5(5+x+9)
20 = x +14 . . . . . divide by 5
x = 6 . . . . . . . . . . subtract 14
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The same is true when the secants intersect <em>inside</em> the circle:
6·9 = y·3
y = 18 . . . . . . divide by 3
Answer:
Step-by-step explanation:
Remark
Assume all of the sheet of plywood is to be used.
Front and back = 2 * 2x *h
Top and Bottom = 2 * 2x * x
Left/Right side = 2 * x * h
Total area = 4xh + 4x^2 + 2xh
Total area = 6xh + 4x^2
Total area = 600
6xh + 4x^2 = 600
h = (600 - 4x^2)/6x
h = 100/x - 2/3 x
Volume = x * 2x * h
Volume = 2x^2 * (100/x - 2/3 x)
Volume = 200x - 4/3 x^3
I can do this without calculus (I think), but it is much easier to use it.
dV/dx = 200 - 4x^2
This is a maximum when dV/dx = 0
dV/dx = 200 - 4x^2 = 0
4x^2 = 200
x^2 = 50
x = 5√2
Answer:
The total change in square yards will be 9 sq. yards.
Step-by-step explanation:
Nien has a flower farm. He cuts 4 square yards of flowers one day and 5 square yards of flowers the next.
We have to use the addition operation to find the total change in the square yards.
Therefore, the total change in square yards will be (4 + 5) = 9 sq. yards. (Answer)
Answer:
81°+x=180°[co interior angles]
x=180°-81°
x=99°
x°=(3y+33)°
99°=(3y+33)°
99-33=3y
66=3y
66/3=y
22=y