When using the 30° - 60° - 90° method, the side lengths will always be x and x√3 for the legs and 2x for the hypotenuse.
Because the hypotenuse is 12, the equation is:
2x = 12
And now you find x to get the length of the shortest leg.
2x = 12
x = 6
Now that we know the length of x, you just add √3 in order to find the longest leg.
Therefore, the length of the longest leg would be 6√3.
Answer:
Maria's book is 202 pages long, Brandon's book is 146 pages long
Step-by-step explanation:
We can set this up with 2 variables: lets say that Maria's book length is x and Brandon's is y.
We can see that Maria's book is 56 pages longer than Brandon's and can come up with an equation:
x=y+56
We also see that their booklengths add up to 348, and can get:
x+y=348
From here, we solve for x and y. We can use substitution to find y.
x+y=348
(y+56)+y=348
2y=292
y=146
Here we plug in for x:
x=y+56
x=(146)+56
x=202
Therefor we get that Maria's book is 202 pages long, Brandon's book is 146 pages long
1.06 , 0.90, 0.601, 0.109, 0.07
Step 1 is to find how far apart W and Y are:
-7 - (-31) = 24
Now find 1/8 of that distance: 1/8 • 24 = 3
Now move 3 units from -31 towards -7: -31 + 3 = -28
(20*30)/2 = 300
300 km is the area of the triangle