2 tens, 4 ones, 3 tenths, 5 hundredths, 7 thousandths
Sammy is the tallest one because he is 4.667 feet tall
The mistake is that that is an equilateral triangle with the same answer for each side which is 6 so AC=6 BC=6 BA=6 all sides equal 6
Answer: 15.59 or 9√3
Step-by-step explanation:
We can use the Pythagorean Theorem to calculate the third side.
c² = a² + b² In a 30 60 90 Triangle, the hypotenuse is twice the length of the short leg of the right angle.
c is the hypotenuse. a is the short leg
18² = 9² + b²
324 = 81 + b² Subtract 81 from both sides.
324 - 81 = b² becomes b² = 243 Take the square root of both sides
b = 15.5884 . This can be rounded to 15.59 or 15.6 depending on significant digits or amount of precision required.
The proportions of the sides of the 30 60 90 triangle can also be used:
2² = 1² + b²
4 = 1 + b²
3 = b²
√3 = b
You can always multiply the length of the short leg by √3 to get the length of the side opposite the 60° angle
We know that HJ + JK = HK
So lets substitute each part for their equation.
(2x + 5) + (3x - 7) = 18
Combine like terms
5x -2 = 18
Add 2 to both sides to eliminate it
5x = 20
Divide both sides by 5
x = 4
Let me know if you have any questions about this! :)
