<u>Answer:</u>
cubic feet
<u>Step-by-step explanation:</u>
We are given that the weight of water is 62 and one half lb per cubic foot and we are to find the number of cubic feet that would be occupied by 180 lb of water.
For that, we will divide total amount of water by per unit weight of water:
Cubic feet occupied by 180 lb of water =
= 2.88 cubic feet or
cubic feet
<span>common stock: 8000 cash: 8000 5600
2400 1000
2500
1100
-----------
10400 10200
+200
equip: 5600 notes recv: 6100
revenue: 6100
2400
-------
8500
rent: 1000
wages: 2500
dividends: 1100
-------
4600
-------------------------------
8500
-4600
------
3900 - gross profits</span>
Answer:
∠STU = 69°
Step-by-step explanation:
The angle with vertex T is called an "inscribed angle." It intercepts arc SU. The relationship you are asked to remember is that the measure of the inscribed angle (T) is half the measure of the arc SU.
Point V is taken to be the center of the circle. The angle with vertex V is called a "central angle." It also intercepts arc SU. The relationship you are asked to remember is that the measure of the central angle (V) is equal to the measure of arc SU.
__
Using these two relationships together, we realize angle V is twice the measure of angle T:
∠SVU = 2×∠STU
18x +12° = 2(18x -57°) . . . . . . relationship between the marked angles
18x +12° = 36x -114° . . . . . eliminate parentheses
126° = 18x . . . . . . . . . . . add 114°-18x
∠STU = 18x -57° = 126° -57°
∠STU = 69°
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<em>Additional comment</em>
You may notice we did not solve for x. We only needed to know the value of 18x, so we stopped when we found that value. (Actually, we only need the value of 18x-57°. See below.)
__
<em>Alternate solution</em>:
(18x +12°) -(18x -57°) = 18x -57° . . . . . . . subtract 18x -57° from both sides of the first equation.
69° = 18x -57° . . . . . simplify. This is the answer to the problem.