Answer:
1,2,3,4,6,8,12,24
Step-by-step explanation:
The ratio of areas is the square of the scale factor, so that factor is
√(320/180) = 4/3
3x+y=0 and x+2y=7
i)
a= intercept on x axis
b= intercept on y axis
from the question
a=2b
x/2b+ y/b=1
x+2y=2b
since it passes through the point (3,2)
then 3+4=2b
7/2=b
x+2y=7 putting the value of b
ii) given b =3a
then x/a+ y/ 3a =1
3x+y=3a
it passes through ( -1,3) then
-3+3=3a
a=0
3x+y=0
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Answer:
A = $1,545.00
(I = A - P = $45.00)
Equation:
A = P(1 + rt)
Explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year.
Putting time into years for simplicity,
9 months / 12 months/year = 0.75 years.
Solving our equation:
A = 1500(1 + (0.04 × 0.75)) = 1545
A = $1,545.00
The total amount accrued, principal plus interest, from simple interest on a principal of $1,500.00 at a rate of 4% per year for 0.75 years (9 months) is $1,545.00.
95141 1404 393
Answer:
- arc BC: 8.55 cm
- chord BC: 8.03 cm
Step-by-step explanation:
The length of an arc that subtends central angle α will be ...
s = rα . . . . where α is in radians
The central angle BOC is twice the measure of angle QBC, so is 70°, or 7π/18 radians. So, the length of arc BC is ...
s = (7 cm)(7π/18) ≈ 8.55 cm . . . arc BC
__
For central angle α and radius r, the chord subtending the arc is ...
c = 2r·sin(α/2)
c = 2(7 cm)sin(35°) ≈ 8.03 cm . . . . chord AB
