Answer:
7.2 m²
Step-by-step explanation:
The area of a triangle is Bh/2
The diagram may fool you but its just 3*4.8/2 because the base is 3 and height is 4.8
so 14.4/2= 7.2 m²
Answer:
≈12.53
Step-by-step explanation:
Answer:
The arc measure of BC is 64
Step-by-step explanation:
1. Calculate the full circumference of the circle
C=2pir
=2pi(18)
=36pi
2. Figure out the arc measure
arc length/circumference=arc measure/degrees in a circle
14pi/36pi=arc measure/360 (solve for arc measure)
14pi/36pi *360=140
The measures of BC and CA add up to the measure of BA
mBC +76=140
BC=64
9514 1404 393
Answer:
(0.75, -1)
Step-by-step explanation:
The center of the circle is at the midpoint of any diameter segment. The midpoint formula can be used.
C = (A +B)/2
C = ((-1, 1) +(2.5, -3))/2 . . . . fill in A and B
C = (-1+2.5, 1-3)/2 . . . . . . . add the coordinates
C = (1.5, -2)/2 . . . . . . finish the addition; next, divide by 2
C = (0.75, -1) . . . . . . the center of the circle
If the loan interest rate remains at i=5.2%/12 per month throughout the six years,
then amount owing after 4 years, or the future value
![F=30000(1+i)^(4*12)](https://tex.z-dn.net/?f=F%3D30000%281%2Bi%29%5E%284%2A12%29)
![==30000(1+0.052/12)^(48)](https://tex.z-dn.net/?f=%3D%3D30000%281%2B0.052%2F12%29%5E%2848%29)
![=36919.80](https://tex.z-dn.net/?f=%3D36919.80)
to the nearest cent
Monthly payment, A, required to repay the loan in two years (24 months)
![\frac{P(i*(1+i)^n)}{(1+i)^n-1}](https://tex.z-dn.net/?f=%5Cfrac%7BP%28i%2A%281%2Bi%29%5En%29%7D%7B%281%2Bi%29%5En-1%7D)
![=\frac{36919.80(.052/12*(1+.052/12)^{24})}{(1+.052/12)^{24}-1}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B36919.80%28.052%2F12%2A%281%2B.052%2F12%29%5E%7B24%7D%29%7D%7B%281%2B.052%2F12%29%5E%7B24%7D-1%7D)
![=1623.03](https://tex.z-dn.net/?f=%3D1623.03)
to the nearest cent.
Answer: Jeffrey will have to repay $1623.03 monthly during the last two years of his loan to owe nothing at the end of the 6 years loan period.