We can split this polygon into a square and rectangle.
Notice how two sides have a line going through it. That means that they have the same length. To solve for the square we can multiply:
5 * 5 = 25ft²
To solve for the rectangle we can subtract:
12 - 5 = 7ft²
Then multiply,
20 * 7 = 140ft²
To solve for the total area of the polygon we can add:
140 + 25 = 165ft²
Thus, the correct answer is 165ft.²
Best of Luck!
Answer:
7 years
Step-by-step explanation:
Given:
Principal P = 9300
Interest rate r = 13% = 0.13
Final amount F = 17,763
Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.
The formula for simple interest is;
Interest I = Prt .....1
t = period
Final amount F = P + I
I = F-P
Substituting into equation 1;
(F-P) = Prt
t = (F-P)/Pr
Substituting the given values;
t = (17,763 - 9300)/(9300×0.13)
t = 7 years
Period = 7 years
Answer:
D. 68%
Step-by-step explanation:
The following statistics are given;
sample mean = 47%
s = 5% ; the sample standard deviation
n = 625 ; the sample size
The confidence interval for a population mean is given as;
sample mean ± z-score*
Substituting the above values we have;
47 ± z-score*
47 ± z-score*0.2
The confidence interval has been given as;
lower limit = 46.8%
upper limit = 47.2%
We can use any of these two values with the above expression to solve for the z-score. Using the lower limit we have the following equation;
47 - z-score*0.2 = 46.8
-z-score*0.2 = 46.8 - 47
-z-score*0.2 = -0.2
z-score = 1
The area of the standard normal curve between -1 and +1 will be the confidence level for the given confidence interval.
Pr( -1<Z<1 ) = 0.68 = 68%
From the Empirical rule
Like terms are terms with the exact same variables, and the exact same degree of each variable...simply put, the exponents of each variable have to be exactly the same.
The given term 12 ad³ has variables a and d. a has a degree of 1 and d has a degree of 3.
The term 3ad³ has the same variables and the same degree, and is therefore the like term.
Answer:
the 3rd one
Step-by-step explanation:
