In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
5 + 10^2 - 3 ( 12 - 8 ) = 93 12 - 8 = 4 then do 3 x 4 which = 12 and then add 5 to 10^2 which = 105 105 - 12 = 93
Answer:
Parker ran 2.76 miles
Step-by-step explanation:
distance = speed x time
First, we have to convert 27 minutes and 39 seconds to minutes only we do this with 39/60 because then the seconds divide by total seconds and we can use it as a decimal
39/60 = .65
So it took 27.65 total minutes now we must convert it to hours, so that the 6 MILES per hour has matching terms, we do this by dividing 27.65 by 60 (theres 60 total minutes in an hour)
So it took 0.460833333 hours at a 6 mph pace, we can round this to 0.46
Now we can plug in the time and speed
Distance = 6mph x 0.46 hours
Distance = 2.76 miles
Answer:
slope of the line containing the given points (6,-1) AND (5,-7) is 6
point- slope form of the equation is
(y+1)= 6(x-6) ( because, i'm choosing the point (6,-1)
Step-by-step explanation:
slope = (-7 + 1) / (5 - 6 ) = -6/-1 = 6
(y-y1) = m ( x - x1)
(y+1 ) = 6 ( x-6)
Put 10.5% to the left of 0.11, because 10.5% is 0.105
between 0.09 and 0.11, you have 0.090, 0.095, 0.100, 0.105, 0.110
