Looking for the height, if trapezoid area equals (a+b)/2 x h then h = 2A/(a+b)
so h = 2(30)/(4.8+5.2) = 6
Answer:
9 inches.
Step-by-step explanation:
Volume = length * height * width
486 = 18 * 3 * w
w = 486 / (18*3)
= 486 / 54
= 9 inches.
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Note that A of a circle is A = pi*r^2.
Here, we use A = 3.14*r^2.
We are able to solve this for r^2: r^2 = A / 3.14
If A = 1964 square units, then r^2 = (1964 sq units) / 3.14, or about 625 sq units, so that r is about 25 units. This would be the largest possible radius.
f A = 1810 square units, then r^2 = (1810 sq units) / 3.14, or about 576 sq units, so that r is about 24 units. This would be the smallest possible radius.
The radius would be between 24 and 25 units long (answer)
bearing in mind that perpendicular lines have negative reciprocal slopes, so
![\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}~\hspace{10em}\stackrel{slope}{y=\stackrel{\downarrow }{-\cfrac{1}{3}}x-1} \\\\[-0.35em] ~\dotfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20slope-intercept~form%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y%3D%5Cunderset%7By-intercept%7D%7B%5Cstackrel%7Bslope%5Cqquad%20%7D%7B%5Cstackrel%7B%5Cdownarrow%20%7D%7Bm%7Dx%2B%5Cunderset%7B%5Cuparrow%20%7D%7Bb%7D%7D%7D%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D~%5Chspace%7B10em%7D%5Cstackrel%7Bslope%7D%7By%3D%5Cstackrel%7B%5Cdownarrow%20%7D%7B-%5Ccfrac%7B1%7D%7B3%7D%7Dx-1%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill)

so we're really looking for a line whose slope is 3 and runs through (1,5)

Answer:
Ones place
The first number before the decimal is the number in the ones place