Answer:
C D
Step-by-step explanation:
Answer:
the area of the hexagon is approx. 187.1 in²
Step-by-step explanation:
Picture this regular polygon as being a hexagon made up of six equilateral triangles of side 12 in. We find the area of one such triangle and then multiply that by 6 to obtain the total area of the hexagon.
One such equilateral triangle has three sides all of length 12 in, and all the interior angles are 60°. The height of one such triangle is
h = (12 in)sin 60°, or
√3
h = (12 in) -------- = 6√3 in
2
So, with base 12 in and height 6√3 in, the area of one such equilateral triangle is
A = (1/2)(12 in)(6√3 in) = 36√3 in²
and the total area of the hexagon is 6(36)√3 in², or approx. 187.1 in²
Answer: The credit card will paid off within 10 years, therefore the correct option is D.
Explanation:
Let the number of years in which the credit card will aid of be x.
It is given that amount owed on credit card is $1000 with interest rate 27.99%.
So the amount of interest is calculated as,
![1000\times \frac{27.99}{100} =\$27.9](https://tex.z-dn.net/?f=1000%5Ctimes%20%5Cfrac%7B27.99%7D%7B100%7D%20%3D%5C%2427.9)
The total amount have to pay is,
![\$1000+\$279.9=\$1279.9](https://tex.z-dn.net/?f=%5C%241000%2B%5C%24279.9%3D%5C%241279.9)
The minimum payment is $20 each month.
![x=\frac{1279.9}{20}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B1279.9%7D%7B20%7D)
![x=63.995](https://tex.z-dn.net/?f=x%3D63.995)
So, the credit card will paid of in 63.995 months. We know that 1 year =12 months.
![\frac{63.995}{12} =5.33](https://tex.z-dn.net/?f=%5Cfrac%7B63.995%7D%7B12%7D%20%3D5.33)
Therefore, the will paid of in 5.33 years, s we can say that the credit card will paid off within 10 years, therefore the correct option is D.
Y=mx+b
m=slope
b=yint
find slope
slope between (x1,y1) and (x2,y2) is (y1-y2)/(x1-x2)
given
(-3,5) and (1,1)
slope=(5-1)/(-3-1)=4/-4=-1
y=-1x+b
find b
when x=1, then y=1
1=-1(1)+b
1=-1+b
add 1
2=b
y=-x+2