Answer:
2.37 its a rational number because its a decimal
Answer:
perimeter = 28.13 cm
Step-by-step explanation:
Calculate the length of a line drawn from A to C.
sin 85 = b/8, b = 7.97
cos 85 = c/8, c = 0.697
AC² =7.97² + (6 + 0.697)² = 63.52 + 44.85 = 108.37
AC = 10.41
Now you have a right triangle ADC with a known hypotenuse and one leg.
Using the Pythagorean theorem:
DC² = 10.41² - 5²
DC² = 108.37 - 25 = 83.37
DC = 9.13 cm
perimeter = 5 + 6 + 8 + 9.13 = 28.13 cm
Answer:
2x
Step-by-step explanation:
x and 2 are common to both 10x and 22x, so 10x + 22x = 2x(5 + 11)
The GCF is 2x.
60% of 20 quizzes = 60/100*20 quizzes = 12 quizzes
Amount of quizzes remaining = 50 quizzes - 20 quizzes = 30 quizzes
He passes 80% of those 30 quizzes, so
80/100 * 30 quizzes = 24 quizzes
So, he passed 12 quizzes from the initial bunch and 24 quizzes from the rest, which totals to 12 quizzes + 24 quizzes = 36 quizzes.
Then, you see that he passed 36 quizzes, out of the total 50 quizzes, so the ratio is 36 quizzes / 50 quizzes = 36/50, which when converted as a percentage is 36/50 * 100% = 72%.
Therefore, he passed 72% of the quizzes for the entire year.
