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:
Total amount of fruits
40 apples and 15 oranges
Step-by-step explanation:
Is there answer choices? Without context I will suggest
Total amount of fruits
40 apples and 15 oranges
Anything with 40 being added to an amount of 15 to get a total of 55
Answer:
222 2/9 hours
Step-by-step explanation:
Income = hours * dollars per hours
We need an income of 2000
We get $9/ hour
Substitute in what we know
2000 = hour * $9
Divide by 9 on each side
2000/9 = hours
222.222(repeating) = hours
222 2/9 hours
If we want to know how many days, we will divide by 5 since she works 5 hours a day
222 2/9 ÷5
44 4/9 days
Answer:
169.646
Step-by-step explanation:
The equation for the surface area of a cylinder is
. Plug in 3 for
and 6 for
to solve for surface area.
Answer:
x=44
Step-by-step explanation:
If the lines were parallel, then those two angles would be equal since they are alternate interior angles. So:
3(x-8)=2(x+10)
3x-24=2x+20
x=44
Hope this is helpful! :)