Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
Answer:
15 hours
Step-by-step explanation:
is the number of hours that Liam volunteered in the first month
The next month he volunteered 
times the time he volunteered the first month.
Total time he volunteered in the two months is 40 hours so
Time he volunteered in the first month is 15 hours.
Answer:
-3/2 < x < 5......................
Answer:
it is 27/16 or 1 11/16
Step-by-step explanation:
The GDO these 3 countries respectively are $ 16.8 trillion, $ 9.2 trillion and $ 4,9 trillion. so the sum of the GDPGDP total = 16.8 + 9.2 + 4.9= 30.9
hence the percentage of the total output of the 3 largest economies is as follows:percentage = ( total gdp / total output of the world ) x 100
percentage = ( 30.9 / 73 ) x 100percentage = 42.33 %
