Answer:
60
Step-by-step explanation:
120°+90°+90°+x=360°
or,300°+x=360°
.•.x=60°
Step-by-step explanation:
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. This can help you do it.
Answer:
4.25
Step-by-step explanation:
To find the scale factor divide the image coordinates by the original coordinates, that is
scale factor = 
= 
= 4.25
Answer:
a^5b^4
-a^5b^4
9a^5b^4
Step-by-step explanation:
Like terms will all have the same bases and exponents.
a^5b^4
-a^5b^4
9a^5b^4
they all contain a^5 b^4
The Rule of 72 is a shortcut method to find the number of years to double your investment. This is only an estimation. This can be done by dividing 72 by the annual interest rate.
However, you are given a nominal rate since it is compounded annually. Let's convert this by this equation:
annual rate = (1+i/m)^m - 1, where m is the number of periods in a year. Thus, m=2
annual rate = (1 + 0.065/2)^2 -1 = 6.61%
Applying Rule of 72,
72 ÷ 6.61% = 10.89
This is where I found a problem. The answer here just directly divided 72 by 6.5% which will equal to 11.1 years. This is not accurate, since the given interest is compounded semi-annually. That is not an annual interest rate.
Nevertheless, the answer is still close to letter A.) 11.1 years.
