Answer: V = (10.4 mph, 38.6 mph)
Step-by-step explanation:
The velocity is written as (vx, vy)
where vx is the component of the velocity in the x-axis and vy is the component of the velocity in the y-axis.
In usual notation, the angles are measured counterclockwise from the positive x-axis.
We know that the angle is 75°, this means that the velocity in the x-axis will be equal to the total velocity of the bird projected in the x-axis (suppose a triangle rectangle, where the velocity is the hypotenuse, the x component is a cathetus and the y component is other cathetus)
vx = 40mph*cos(75°) = 10.4 mph
vy = 40mph*sin(75°) = 38.6mph
Then the vector of velocity is V = (10.4 mph, 38.6 mph)
So the problem ask to find or solve the problem using distributive property, so to calculate if using distributive property is just the same calculation if you are multiplying two number using a paper so the answer is 5(8)+5(90)+5(100), 40+ 450+500 = 990. I hope you understand my answer
Responda:
6 meses
10 meses
Explicação passo a passo:
Dado que:
Principal = 4000
Juros = 586
Taxa (r) = 29,3% ao ano = 0,293
Juros simples = principal * taxa * tempo
586 = 4000 * 0,293 * t
586 = 1172t
t = 586/1172
t = 0,5 anos
Tempo = (0,5 * 12) = 6 meses
B.)
principal = $ 90909,09
Montante final = 100.000
Taxa (r) = 12% = 0,12
Usando a fórmula:
Quantidade final = p (1 + rt)
Taxa = r; t = tempo
100000 = 90909,09 (1 + 0,12t)
100000 = 90909,09 + 10909,0908t
100000 - 90909,09 = 10909,0908t
9090,91 = 10909,0908t
t = 9090,91 / 10909,0908
t = 0,8333334
Número de meses:
0,8333334 * 12
= 10 meses