Answer:
Step-by-step explanation:
Area of a trapezium is the average of the parallel sides times the distance between them.
If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.
Let the base be split into two segments, call one A, the other will be 8 - A
From Pythagoras.
10² - A² = h² = 8² - (8 - A)²
10² - A² = 8² - (8 - A)²
100 - A² = 64 - (64 - 16A + A²)
100 - A² = 64 - 64 + 16A - A²
100 = 16A
A = 6.25
h = √(10² - 6.25²)
h = √60.9375
A = ½(15 + 23)√60.9375
A = 148.31870246... ≈ 148.3 cm²
Answer: 5x^2 - 5x - 6
work:
5x^2 -3(x+2) - 2x
distribute
5x^2 -3x - 6 - 2x
combine like terms
5x^2 -5x - 6
Answer: 30 minutes
Step-by-step explanation: It takes 9 minutes to get 3/10 the way there, so just divide 9 by 3 to get 3, which is 1/10 the way there. Multiply 3 by 9 to get the remaining 9/10 and add to get a total of 30. Hope this helped!
Answer:
-1 1/6
Step-by-step explanation:
Convert the mixed numbers into improper fractions
Apply the rule: a + (-b) = a - b
The Least Common Multiplier of 6 and 3 is 6
Adjust the fractions on the LCM
Apply the Fraction Rule: 
Subtract the numbers
Apply the Fraction Rule: 
Convert improper fraction into a mixed number
Hope this Helps :)
8+.45
8+45/100
8+9/20
160/20+9/20
=169/20
