Answer: 5 and 4
Step-by-step explanation:
Perimeter = 2 ( L + W)
18 = 2(L + W) divide through by 2
9 = L + W
9 - L = W
Area = L * W
20 = L (9 - L)
20 = 9L - L^2
L^2 - 9L + 20 = 0 factor
(L - 5) (L - 4) = 0
Set both factors to 0 and solve for L
L = 5 and L = 4
Because there are 4 inside angles the sum of the four angles must equal 360 degrees.
Add the angles to equal 360:
4x + 3x + 2x + 3x = 360
Simplify:
12x = 360
Solve for x by dividing both sides by 12:
x = 360 /12
x = 30
Now you have x, solve for each angle:
ABC = 4x = 4 x 30 = 120 degrees.
BCD = 3x = 3 x 30 = 90 degrees.
CDA = 2x = 2x 30 = 60 degrees.
DAB = 3x = 3 x 30 = 90 degrees.
C. It's important to know that a four sides figure needs the inside angles when added together need to equal 360 degrees.
This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
Answer:
10.0
Step-by-step explanation: 464:46
Answer:
a = 9
Step-by-step explanation:
you can simplify the proportion to:
use cross- multiplication
8a = 72
a = 9
