Answer:
11.67 rounded to the nearest hundredth
Step-by-step explanation:
You would just do the pythagorean theorem the same way but start out by entering 12.333333333... into your calculator, squaring it, and then subtracting 16 to get 136.11111... and square rooting that to get 11.6666666..... which you can round to whichever decimal point you need.
6×6×2=72 because 6×6=36 then do 36×2=72 so 6×6×2=72
C is your answer! If you take away the 25.5 from 60 and divide that my 2 your answer is 17.25!
<span>Average profit from the sale of 1 piece of furniture = 3x + 1
Average number of pieces of furniture that can be made using current supply of raw materials = 3x - 1.
Therefore,
Average profit of total furniture = Average profit X Average total of furniture sold
= (3x + 1) X (3x - 1)
= 9x^2 - 1</span>
Answer:
a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft
b) The length of the beam is approximately: 10.4 ft
Step-by-step explanation:
First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:
tan(angle) = opposite side / adjacent side
We know the angle and the opposite side and we want to find the adjacent side:
adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft
In order to find the length of the light beam, we use Pythagoras Theorem:
leg1²+leg2² = hyp²
Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:
hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft
