Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:
length=20/4=5 cm
the ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:
AC=4x and BD=3x
using Pythagorean theorem, the length of one side of the rhombus will be:
c^2=a^2+b^2
substituting our values we get:
5²=(2x)²+(1.5x)²
25=4x²+2.25x²
25=6.25x²
x²=4
x=2
hence the length of the diagonals will be:
AC=4x=4×2=8 cm
BD=3x=3×2=6 cm
Hence the area of the rhombus wll be:
Area=1/2(AC×BD)
=1/2×8×6
=24 cm²
The building would be 100ft tall. You have to take 20/6 = ?/30 The difference between 6 and 30 is x5. Then all you have to do is 20x5 and you get 100ft.
Answer:
29
Step-by-step explanation:
Answer:
$1125
Step-by-step explanation:
To find percentage of something, we always take the percentage, convert it to decimal by dividing by 100, and then multiply that decimal with the number given.
Here, we want to find 250% of $450. First, lets convert 250% to decimal:
250/100 = 2.5
So, 250% = 2.5
Now we multiply this with $450 to find rent in Manhattan:
2.5 * 450 = $1125
That's a whooping price of $1125 in Manhattan!!
Initial, x = 0, b = 50000
day 1, x = 1, b = 50000 (1.05)^-1
day 2, x = 2, b = 50000 (1.05) =^-2
day 2 / day 1 = 1.05^-2 / 1.05^-1 = 1.05^-1 = 0.952
Which means that the number of bacteria decreased 4.8%
