So for the 40-40-90 degree triangle, whenever the two legs are x values, then the hypotenuse is x value times the square root of 2.
--> a changed into a√2
√2 changed in √2 * √2
= 2
So the hypotenuse of the 40-40-90 degree triangle is 2.
Now for the 30-60-90 degree triangle, the smallest leg with the value of x is then changed to the value of x√3 if finding the longer leg.
-> a is changed to a√3
2 is changed into 2√3
So, y is 2√3 or approximately 3.46 units.
11.7
Formula: a^2 + b^2 = c^2
so substitute the numbers like this:
10^2 + 6^2 = c^2
both 10^2 and 6^2 are perfect squares:
10 × 10= 100 and 6 × 6= 36
100 + 36= c^2
add:
100 + 36 =
136 = c^2
now in order to get rid of the squared, you put it into a radical:
√136 = √c^2
note: whatever you do on one side, you do to the other
it's easier to use the calculator for this so put √136 and you're gonna get 11.66
since it's asking you to round it to the nearest tenth:
11.66 = 11.7
sorry if the explanation is kinda long ✋ i tried explaining it better in the end but i failed
.009 is the answer to this equation
Answer A
For ease convert both into ounces.
Gross = (11x16) + 5 = 181 ounces
Packaging = (1x16) + 15 = 31 oz.
Now subtract Packaging from Gross
181 - 31 = 150 oz.
Divide by 16 to get pounds
150/16 = 9.375 - hence 9 lb.
and multiply 16 by .375 for ounces
0.375 x 16 = 6 oz.
Thus A : 9lb 6 oz