D=2x+2
X=7
Plug in the value for Max's age.
D=2(7)+2
D=14+2
D=16
Max is 7
Dee is 16
Answer:
He can build ...
... min(floor((available wood)/(wood per chair)), floor((available glue)/(glue per chair)))
... = min(floor(6/4), floor(12/6))
... = min(1, 2) = 1
The carpenter can build ...
... e. one chair
Step-by-step explanation:
Answer:
There are two ways to do this problem algebraically or trigonometrically.
Algebraically/geometrically
The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.
The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3
Using Trig.
We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).
Therefore, sin(pi/3) = 6/r =
r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3
4.5% of $149.99 is 67.4955 which means he will make $67.50
Straight lines will always add up to 180 degrees, so the angle that is missing here is supplementary to the other angle(adds up with the other angle to get 180) so we take 79 away from 180 and get 101 degrees
