Answer:
A'= (-4,2)
B'= (-3,3)
C'= (-2,0)
Step-by-step explanation:
Answer:
x = 5/6
Step-by-step explanation:
x + 3 1/2 = 4 1/3 (converting decimal to fraction)
x + 3 3/6 = 4 2/6 (creating common denominators)
x = 5/6 (removing 3 3/6 from both sides)
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Answer:
Base amount: $2,410.00
Interest Rate: 12% (yearly)
Effective Annual Rate: 12.68%
Calculation period: 3 years
$3,448.15
Step-by-step explanation:
The generic formula used in this compound interest calculator is
V = P(1+r/n)^(nt)
V = the future value of the investment
P = the principal investment amount
r = the annual interest rate
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
