Answer:
Please check the explanation.
Step-by-step explanation:
Given that
|v|=38
Ф = 120°
<u>Finding the horizontal component</u>
The horizontal component can be obtained using the formula
Vx = |v| cos Ф
= 38 cos 120°
= 38 (-0.5)
= -19
Thus, the horizontal component is:
Vx = -19
<u>Finding the vertical component</u>
The vertical component can be obtained using the formula
Vy = |v| sin Ф
= 38 sin 120°
= 38 (0.86)
= 32.68
Thus, the vertical component is:
Vy = -19
- A vector 'v' with magnitude |v| and direction Ф can be written as:
v = |v| cos Ф i + |v| sin Ф j
As
|v|=38
Ф = 120°
Thus, the vector is
v = 38 cos 120° i + 38 sin 120° j
or
v = -19 i + 32.68 j
Answer:
21
Step-by-step explanation:
3/(x-3) = 8/(2x+6)
or, 3(2x+6) = 8(x-3) ( by cross multiplication)
or, 6x + 18 = 8x - 24
or, 8x - 6x = 24 + 18
or, 2x = 42
or, x = 42/2
=21
Answer:
-1, 3, -3
Step-by-step explanation:
I don't see the graph, but you can solve by factoring:

By the factor theorem, the solutions of f(x) are -1, 3, and -3.
Answer: =
Write the expressions backward from month 12 to month 1 to get this series:
50 + 50(1.003) + 50(1.003)2 + ... + 50(1.003)11
Convert the series to sigma notation, and find the sum of the 12 terms in the series:
11
S12 50(1.003)
ko
50(1 - 1.00312)
1 - 1.003
610
Esther will have about $610 in her savings account after a year. She would have deposited $600 over 12 months, so she
will have earned $10 in interest.
Step-by-step explanation: