Answer:
-2
Step-by-step explanation:
(5 - a) = 20 + (6a -1) . . . . . 5-a is 20 greater than 6a-1
5 = 7a +19 . . . . . . . . . . . . . add a, collect terms
-14 = 7a . . . . . . . . . . . . . . . subtract 19
-2 = a . . . . . . . . . . . . . . . . divide by 7
The value of the variable is -2.
_____
<u>Check</u>
5 - (-2) = 7
6(-2) -1 = -13
7 is 20 greater than -13, so the answer checks OK.
Answer:
400
Step-by-step explanation:
6/8 = 0.75 or 75% expected to respond favorably.
Margin of error 2.5%:
Lower bound: 0.75 - .025 = 0.725
Upper bound: 0.75 + .025 = 0.775
Range:
Lower bound: 8000 * 0.725 = 5800
Upper bound: 8000 * 0.775 = 6200
6200 - 5800 = 400
The answer for the equation is X=-36
9514 1404 393
Answer:
42.9 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
where Opposite in this case is the height of the tree, and Adjacent is the distance to the tree.
tan(47°) = height/(40 ft)
height = (40 ft)·tan(47°) . . . . . multiply both sides by (40 ft)
height ≈ 42.9 ft
The tree is about 42.9 feet tall.
